Climate change mitigation technologies

with IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 02:27:00 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            4.2299e-12  1.0567e-13  40.0295 < 2.2e-16 ***      
                pop            3.1575e-05  1.7694e-06  17.8453 < 2.2e-16 ***      
                idAUT          4.4286e+02  5.7117e+01   7.7535 6.315e-14 ***      
                idBEL          2.7230e+02  5.5551e+01   4.9018 1.340e-06 ***      
                idCAN         -1.2791e+02  5.6407e+01  -2.2677 0.0238353 *        
                idCHE          4.4393e+02  5.7576e+01   7.7104 8.512e-14 ***      
                idCHN         -4.0548e+04  2.3340e+03 -17.3725 < 2.2e-16 ***      
                idDEU         -3.3907e+02  1.2857e+02  -2.6372 0.0086559 **       
                idDNK          5.3922e+02  5.9290e+01   9.0946 < 2.2e-16 ***      
                idESP         -7.3862e+02  6.6093e+01 -11.1755 < 2.2e-16 ***      
                idFIN          4.5617e+02  5.9441e+01   7.6743 1.091e-13 ***      
                idFRA         -6.1961e+02  9.1570e+01  -6.7665 4.243e-11 ***      
                idGBR         -7.9579e+02  8.8795e+01  -8.9621 < 2.2e-16 ***      
                idISR          3.8534e+02  5.8991e+01   6.5323 1.801e-10 ***      
                idITA         -1.0240e+03  8.4302e+01 -12.1463 < 2.2e-16 ***      
                idJPN         -7.7647e+02  2.3893e+02  -3.2497 0.0012443 **       
                idKOR         -4.0925e+03  1.4930e+02 -27.4107 < 2.2e-16 ***      
                idNLD          2.5828e+02  5.3041e+01   4.8694 1.566e-06 ***      
                idNOR          3.9709e+02  5.9887e+01   6.6306 9.861e-11 ***      
                idRUS         -4.2843e+03  2.2460e+02 -19.0751 < 2.2e-16 ***      
                idSWE          4.1143e+02  5.6446e+01   7.2888 1.471e-12 ***      
                idUSA         -6.0917e+03  4.5801e+02 -13.3006 < 2.2e-16 ***      
                time1995      -6.4652e+02  6.6305e+01  -9.7508 < 2.2e-16 ***      
                time1996      -6.3355e+02  6.6529e+01  -9.5229 < 2.2e-16 ***      
                time1997      -6.2208e+02  6.6011e+01  -9.4239 < 2.2e-16 ***      
                time1998      -5.9263e+02  6.6258e+01  -8.9443 < 2.2e-16 ***      
                time1999      -5.7876e+02  6.6458e+01  -8.7086 < 2.2e-16 ***      
                time2000      -5.5921e+02  6.6304e+01  -8.4340 4.891e-16 ***      
                time2001      -5.9187e+02  6.5683e+01  -9.0110 < 2.2e-16 ***      
                time2002      -6.3421e+02  6.5601e+01  -9.6677 < 2.2e-16 ***      
                time2003      -6.0651e+02  6.5833e+01  -9.2128 < 2.2e-16 ***      
                time2004      -5.4268e+02  6.3530e+01  -8.5422 < 2.2e-16 ***      
                time2005      -4.9646e+02  6.4079e+01  -7.7476 6.580e-14 ***      
                time2006      -4.4159e+02  6.4642e+01  -6.8313 2.826e-11 ***      
                time2007      -5.1632e+02  6.5473e+01  -7.8859 2.511e-14 ***      
                time2008      -4.9938e+02  6.4881e+01  -7.6969 9.343e-14 ***      
                time2009      -3.9752e+02  6.6030e+01  -6.0203 3.686e-09 ***      
                time2010      -3.2999e+02  6.7559e+01  -4.8844 1.457e-06 ***      
                time2011      -3.0563e+02  6.8019e+01  -4.4933 8.986e-06 ***      
                time2012      -3.2030e+02  6.8671e+01  -4.6642 4.120e-06 ***      
                time2013      -3.7913e+02  6.9356e+01  -5.4665 7.723e-08 ***      
                time2014      -4.0847e+02  7.0035e+01  -5.8324 1.063e-08 ***      
                time2015      -4.5809e+02  7.0674e+01  -6.4818 2.446e-10 ***      
                time2016      -4.0865e+02  7.1321e+01  -5.7298 1.873e-08 ***      
                time2017      -4.3363e+02  6.8572e+01  -6.3236 6.308e-10 ***      
                time2018      -4.2433e+02  6.9155e+01  -6.1359 1.896e-09 ***      
                time2019      -5.0106e+02  6.9617e+01  -7.1973 2.687e-12 ***      
                iis126         3.1281e+03  3.0730e+02  10.1794 < 2.2e-16 ***      
                iis127         2.7217e+03  2.9079e+02   9.3596 < 2.2e-16 ***      
                iis128         2.3197e+03  2.7506e+02   8.4334 4.911e-16 ***      
                iis129         1.9060e+03  2.6116e+02   7.2983 1.381e-12 ***      
                iis130         1.5657e+03  2.4930e+02   6.2804 8.146e-10 ***      
                iis131         1.2400e+03  2.3909e+02   5.1864 3.284e-07 ***      
                iis132         1.0107e+03  2.2966e+02   4.4006 1.358e-05 ***      
                iis133         8.1726e+02  2.2232e+02   3.6760 0.0002663 ***      
                iis134         5.7877e+02  2.1630e+02   2.6758 0.0077354 **       
                iis349        -2.0144e+03  2.3284e+02  -8.6518 < 2.2e-16 ***      
                iis350        -1.8978e+03  2.3283e+02  -8.1509 3.828e-15 ***      
                iis351        -1.7278e+03  2.3261e+02  -7.4280 5.815e-13 ***      
                iis352        -1.3959e+03  2.3261e+02  -6.0012 4.110e-09 ***      
                iis353        -7.4154e+02  2.3261e+02  -3.1879 0.0015356 **       
                iis363         8.8595e+02  2.0288e+02   4.3669 1.575e-05 ***      
                iis364         2.6308e+03  2.0307e+02  12.9550 < 2.2e-16 ***      
                iis365         3.4739e+03  2.0309e+02  17.1051 < 2.2e-16 ***      
                iis366         3.1187e+03  2.0312e+02  15.3535 < 2.2e-16 ***      
                iis367         2.5479e+03  2.0317e+02  12.5408 < 2.2e-16 ***      
                iis368         2.4215e+03  2.0322e+02  11.9155 < 2.2e-16 ***      
                iis369         2.1096e+03  2.0328e+02  10.3775 < 2.2e-16 ***      
                iis370         2.1699e+03  2.0334e+02  10.6711 < 2.2e-16 ***      
                iis371         2.4739e+03  2.0307e+02  12.1826 < 2.2e-16 ***      
                iis372         2.4913e+03  2.0312e+02  12.2654 < 2.2e-16 ***      
                iis373         1.1353e+03  2.0316e+02   5.5884 4.035e-08 ***      
                iis511        -5.8115e+02  2.0954e+02  -2.7734 0.0057835 **       
                iis514         5.5460e+02  2.0859e+02   2.6588 0.0081286 **       
                iis515         8.0645e+02  2.0838e+02   3.8700 0.0001254 ***      
                iis516         1.6248e+03  2.0824e+02   7.8026 4.493e-14 ***      
                iis517         2.1390e+03  2.0814e+02  10.2766 < 2.2e-16 ***      
                iis518         1.1778e+03  2.0808e+02   5.6601 2.738e-08 ***      
                iis519         1.0699e+03  2.0806e+02   5.1422 4.102e-07 ***      
                iis520         1.0078e+03  2.0809e+02   4.8430 1.777e-06 ***      
                fesisCHN.2017  1.3541e+03  1.6164e+02   8.3776 7.399e-16 ***      
                fesisDEU.2007  1.7790e+03  7.6521e+01  23.2483 < 2.2e-16 ***      
                fesisJPN.2002  7.1308e+02  1.5229e+02   4.6823 3.790e-06 ***      
                fesisUSA.2001  1.1236e+03  1.1413e+02   9.8447 < 2.2e-16 ***      
                fesisUSA.2007  2.1848e+03  1.2282e+02  17.7882 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   149.29  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 125.67  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression   185.09743      
                R-squared            0.99206      
                Log-lik.(n=523)  -3430.12631      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 02:26:58 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            4.0999e-12  1.4489e-13  28.2965 < 2.2e-16 ***      
                pop            6.6487e-05  3.5046e-06  18.9712 < 2.2e-16 ***      
                idAUT          7.4235e+02  5.9106e+01  12.5597 < 2.2e-16 ***      
                idBEL          4.8774e+02  5.3509e+01   9.1150 < 2.2e-16 ***      
                idCAN         -6.9316e+02  6.1757e+01 -11.2240 < 2.2e-16 ***      
                idCHE          7.6564e+02  6.0692e+01  12.6151 < 2.2e-16 ***      
                idCHN         -8.6447e+04  4.5943e+03 -18.8160 < 2.2e-16 ***      
                idDEU         -2.5148e+03  2.2618e+02 -11.1186 < 2.2e-16 ***      
                idDNK          9.3733e+02  6.6427e+01  14.1108 < 2.2e-16 ***      
                idESP         -1.5618e+03  9.1892e+01 -16.9965 < 2.2e-16 ***      
                idFIN          8.6053e+02  6.6929e+01  12.8573 < 2.2e-16 ***      
                idFRA         -2.2529e+03  1.5816e+02 -14.2443 < 2.2e-16 ***      
                idGBR         -2.3619e+03  1.5166e+02 -15.5730 < 2.2e-16 ***      
                idISR          7.2177e+02  6.2325e+01  11.5807 < 2.2e-16 ***      
                idITA         -2.4786e+03  1.4095e+02 -17.5847 < 2.2e-16 ***      
                idJPN         -3.7618e+03  3.8847e+02  -9.6835 < 2.2e-16 ***      
                idKOR         -4.6373e+03  1.5759e+02 -29.4260 < 2.2e-16 ***      
                idNLD          2.7525e+02  4.4047e+01   6.2490 1.032e-09 ***      
                idNOR          8.7960e+02  7.0336e+01  12.5056 < 2.2e-16 ***      
                idRUS         -8.7395e+03  4.3849e+02 -19.9307 < 2.2e-16 ***      
                idSWE          6.7688e+02  5.6727e+01  11.9322 < 2.2e-16 ***      
                idUSA         -1.5093e+04  8.9643e+02 -16.8372 < 2.2e-16 ***      
                time1995      -1.1764e+03  7.8254e+01 -15.0330 < 2.2e-16 ***      
                time1996      -1.1817e+03  7.9033e+01 -14.9521 < 2.2e-16 ***      
                time1997      -1.2125e+03  7.9287e+01 -15.2925 < 2.2e-16 ***      
                time1998      -1.1919e+03  8.0010e+01 -14.8965 < 2.2e-16 ***      
                time1999      -1.1547e+03  8.0650e+01 -14.3168 < 2.2e-16 ***      
                time2000      -1.1390e+03  8.1385e+01 -13.9948 < 2.2e-16 ***      
                time2001      -1.1571e+03  7.9513e+01 -14.5519 < 2.2e-16 ***      
                time2002      -1.1535e+03  8.0098e+01 -14.4014 < 2.2e-16 ***      
                time2003      -1.1766e+03  8.0673e+01 -14.5842 < 2.2e-16 ***      
                time2004      -1.1391e+03  8.1422e+01 -13.9894 < 2.2e-16 ***      
                time2005      -1.0946e+03  8.2170e+01 -13.3213 < 2.2e-16 ***      
                time2006      -1.0398e+03  8.2977e+01 -12.5310 < 2.2e-16 ***      
                time2007      -1.1076e+03  8.2709e+01 -13.3919 < 2.2e-16 ***      
                time2008      -1.0631e+03  8.2593e+01 -12.8711 < 2.2e-16 ***      
                time2009      -9.8716e+02  8.4675e+01 -11.6581 < 2.2e-16 ***      
                time2010      -9.4354e+02  8.6142e+01 -10.9534 < 2.2e-16 ***      
                time2011      -8.9463e+02  8.4584e+01 -10.5769 < 2.2e-16 ***      
                time2012      -9.4030e+02  8.6530e+01 -10.8668 < 2.2e-16 ***      
                time2013      -9.8396e+02  8.4270e+01 -11.6764 < 2.2e-16 ***      
                time2014      -1.0325e+03  8.6210e+01 -11.9765 < 2.2e-16 ***      
                time2015      -1.0740e+03  8.8024e+01 -12.2007 < 2.2e-16 ***      
                time2016      -1.0582e+03  8.9853e+01 -11.7773 < 2.2e-16 ***      
                time2017      -1.0596e+03  8.7391e+01 -12.1250 < 2.2e-16 ***      
                time2018      -1.0092e+03  8.8662e+01 -11.3821 < 2.2e-16 ***      
                time2019      -1.1005e+03  8.9967e+01 -12.2320 < 2.2e-16 ***      
                iis126         7.4949e+03  4.6006e+02  16.2913 < 2.2e-16 ***      
                iis127         6.6637e+03  4.1907e+02  15.9012 < 2.2e-16 ***      
                iis128         5.8668e+03  3.7910e+02  15.4757 < 2.2e-16 ***      
                iis129         5.0481e+03  3.4199e+02  14.7608 < 2.2e-16 ***      
                iis130         4.3075e+03  3.0894e+02  13.9427 < 2.2e-16 ***      
                iis131         3.6399e+03  2.7968e+02  13.0143 < 2.2e-16 ***      
                iis132         3.0748e+03  2.5107e+02  12.2466 < 2.2e-16 ***      
                iis133         2.5372e+03  2.2806e+02  11.1253 < 2.2e-16 ***      
                iis134         2.0705e+03  2.0807e+02   9.9507 < 2.2e-16 ***      
                iis135         1.6059e+03  1.9064e+02   8.4238 6.137e-16 ***      
                iis136         1.2069e+03  1.7540e+02   6.8806 2.226e-11 ***      
                iis137         7.7206e+02  1.6342e+02   4.7243 3.173e-06 ***      
                iis138         4.5370e+02  1.5447e+02   2.9371 0.0034989 **       
                iis151        -8.1552e+02  1.3450e+02  -6.0634 3.015e-09 ***      
                iis152        -6.4877e+02  1.3450e+02  -4.8236 1.988e-06 ***      
                iis349        -2.8201e+03  1.3879e+02 -20.3198 < 2.2e-16 ***      
                iis350        -2.6933e+03  1.3870e+02 -19.4176 < 2.2e-16 ***      
                iis351        -2.4909e+03  1.3831e+02 -18.0098 < 2.2e-16 ***      
                iis352        -2.1629e+03  1.3833e+02 -15.6363 < 2.2e-16 ***      
                iis353        -1.5402e+03  1.3832e+02 -11.1345 < 2.2e-16 ***      
                iis354        -8.8336e+02  1.3828e+02  -6.3884 4.535e-10 ***      
                iis355        -7.4262e+02  1.3822e+02  -5.3728 1.300e-07 ***      
                iis356        -8.4416e+02  1.3808e+02  -6.1138 2.260e-09 ***      
                iis363         7.6743e+02  1.3849e+02   5.5416 5.358e-08 ***      
                iis364         2.5380e+03  1.3844e+02  18.3327 < 2.2e-16 ***      
                iis365         3.3649e+03  1.3848e+02  24.2985 < 2.2e-16 ***      
                iis366         3.0487e+03  1.3853e+02  22.0069 < 2.2e-16 ***      
                iis367         2.4705e+03  1.3844e+02  17.8450 < 2.2e-16 ***      
                iis368         2.3694e+03  1.3852e+02  17.1049 < 2.2e-16 ***      
                iis369         2.0551e+03  1.3866e+02  14.8210 < 2.2e-16 ***      
                iis370         2.1519e+03  1.3882e+02  15.5010 < 2.2e-16 ***      
                iis371         2.4371e+03  1.3870e+02  17.5709 < 2.2e-16 ***      
                iis372         2.4195e+03  1.3853e+02  17.4658 < 2.2e-16 ***      
                iis373         1.0840e+03  1.3869e+02   7.8159 4.598e-14 ***      
                iis388         6.2564e+02  1.3507e+02   4.6318 4.868e-06 ***      
                iis389         8.7934e+02  1.3597e+02   6.4671 2.833e-10 ***      
                iis390         7.7709e+02  1.3714e+02   5.6662 2.746e-08 ***      
                iis391         9.4900e+02  1.3808e+02   6.8726 2.341e-11 ***      
                iis392         1.1749e+03  1.3972e+02   8.4093 6.820e-16 ***      
                iis393         1.1233e+03  1.4169e+02   7.9281 2.109e-14 ***      
                iis394         5.8311e+02  1.4377e+02   4.0558 5.977e-05 ***      
                iis395         8.4109e+02  1.4632e+02   5.7482 1.758e-08 ***      
                iis396         2.9705e+02  1.4950e+02   1.9870 0.0475857 *        
                iis513         3.6494e+02  1.5738e+02   2.3189 0.0208905 *        
                iis514         7.4805e+02  1.5817e+02   4.7294 3.098e-06 ***      
                iis515         8.9661e+02  1.5985e+02   5.6091 3.736e-08 ***      
                iis516         2.3604e+03  1.6303e+02  14.4783 < 2.2e-16 ***      
                iis517         2.7833e+03  1.6050e+02  17.3409 < 2.2e-16 ***      
                iis518         1.7600e+03  1.5936e+02  11.0445 < 2.2e-16 ***      
                iis519         1.5619e+03  1.5839e+02   9.8615 < 2.2e-16 ***      
                iis520         1.4521e+03  1.5765e+02   9.2109 < 2.2e-16 ***      
                iis521         9.0100e+02  1.5685e+02   5.7445 1.794e-08 ***      
                fesisAUS.2009 -3.4316e+02  5.2713e+01  -6.5100 2.189e-10 ***      
                fesisCHN.2011 -6.6006e+02  1.3328e+02  -4.9526 1.071e-06 ***      
                fesisCHN.2013 -9.4214e+02  1.4257e+02  -6.6083 1.205e-10 ***      
                fesisCHN.2017  5.1504e+02  1.3361e+02   3.8547 0.0001344 ***      
                fesisDEU.2007  1.7058e+03  5.4660e+01  31.2065 < 2.2e-16 ***      
                fesisESP.2009 -2.8122e+02  5.3115e+01  -5.2946 1.945e-07 ***      
                fesisKOR.1999 -5.9417e+02  1.0042e+02  -5.9171 6.898e-09 ***      
                fesisKOR.2002 -2.7047e+02  1.0472e+02  -2.5828 0.0101455 *        
                fesisNOR.2009 -1.3570e+02  5.2185e+01  -2.6003 0.0096501 **       
                fesisUSA.2001  5.2265e+02  9.4460e+01   5.5330 5.608e-08 ***      
                fesisUSA.2007  1.4105e+03  1.1076e+02  12.7347 < 2.2e-16 ***      
                fesisUSA.2012 -6.9444e+02  1.5148e+02  -4.5844 6.045e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    68.379  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 129.222  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression   124.55974      
                R-squared            0.99662      
                Log-lik.(n=523)  -3209.96765      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 02:26:56 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.0036e-01  9.9480e-03  90.5061 < 2.2e-16 ***      
                gdp            1.3176e-13  1.6578e-13   0.7948 0.4271855          
                pop            4.3294e-06  5.2058e-07   8.3163 1.235e-15 ***      
                idAUT          6.4761e+01  2.0735e+01   3.1233 0.0019103 **       
                idBEL          3.9956e+01  2.0273e+01   1.9708 0.0493897 *        
                idCAN         -1.4357e+01  2.0403e+01  -0.7036 0.4820355          
                idCHE          6.1239e+01  2.0824e+01   2.9408 0.0034525 **       
                idCHN         -5.2534e+03  6.3385e+02  -8.2882 1.514e-15 ***      
                idDEU         -3.3098e+00  4.0360e+01  -0.0820 0.9346807          
                idDNK          8.1441e+01  2.1287e+01   3.8258 0.0001498 ***      
                idESP         -9.9334e+01  2.2931e+01  -4.3318 1.846e-05 ***      
                idFIN          6.4272e+01  2.1201e+01   3.0315 0.0025819 **       
                idFRA         -7.4213e+01  2.8509e+01  -2.6032 0.0095587 **       
                idGBR         -1.0513e+02  2.7947e+01  -3.7617 0.0001924 ***      
                idISR          5.4620e+01  2.1267e+01   2.5683 0.0105594 *        
                idITA         -1.3612e+02  2.7224e+01  -5.0000 8.392e-07 ***      
                idJPN         -3.4630e+00  9.7975e+01  -0.0353 0.9718206          
                idKOR         -1.3972e+02  1.4407e+02  -0.9698 0.3326907          
                idNLD          3.8218e+01  1.9799e+01   1.9303 0.0542356 .        
                idNOR          5.8491e+01  2.1247e+01   2.7529 0.0061601 **       
                idRUS         -5.5431e+02  6.8181e+01  -8.1300 4.720e-15 ***      
                idSWE          6.0368e+01  2.0590e+01   2.9319 0.0035507 **       
                idUSA         -6.5814e+02  1.3280e+02  -4.9559 1.041e-06 ***      
                time1996      -8.5683e+01  2.2797e+01  -3.7585 0.0001948 ***      
                time1997      -9.2426e+01  2.2909e+01  -4.0345 6.485e-05 ***      
                time1998      -8.2825e+01  2.2805e+01  -3.6319 0.0003156 ***      
                time1999      -7.8454e+01  2.2982e+01  -3.4137 0.0007022 ***      
                time2000      -5.7032e+01  2.2113e+01  -2.5791 0.0102398 *        
                time2001      -7.7103e+01  2.2256e+01  -3.4644 0.0005853 ***      
                time2002      -9.9073e+01  2.2347e+01  -4.4333 1.182e-05 ***      
                time2003      -8.2861e+01  2.2566e+01  -3.6719 0.0002714 ***      
                time2004      -5.6430e+01  2.2613e+01  -2.4955 0.0129566 *        
                time2005      -6.6006e+01  2.2638e+01  -2.9157 0.0037368 **       
                time2006      -6.6209e+01  2.2814e+01  -2.9022 0.0038981 **       
                time2007      -4.1277e+01  2.3015e+01  -1.7935 0.0736085 .        
                time2008      -4.3404e+01  2.3037e+01  -1.8841 0.0602313 .        
                time2009      -3.3478e+01  2.3360e+01  -1.4331 0.1525596          
                time2010      -2.6821e+00  2.3307e+01  -0.1151 0.9084397          
                time2011      -5.9713e+01  2.3391e+01  -2.5528 0.0110329 *        
                time2012      -8.5429e+01  2.3431e+01  -3.6460 0.0002993 ***      
                time2013      -1.1972e+02  2.3821e+01  -5.0259 7.392e-07 ***      
                time2014      -9.8822e+01  2.3678e+01  -4.1736 3.636e-05 ***      
                time2015      -1.0256e+02  2.3897e+01  -4.2919 2.195e-05 ***      
                time2016      -5.7558e+01  2.3341e+01  -2.4659 0.0140580 *        
                time2017      -3.0510e+01  2.3531e+01  -1.2966 0.1954739          
                time2018      -3.9678e+01  2.3442e+01  -1.6926 0.0912717 .        
                time2019      -1.1557e+02  2.3914e+01  -4.8330 1.881e-06 ***      
                iis141         7.6294e+02  7.8287e+01   9.7455 < 2.2e-16 ***      
                iis142         5.6290e+02  8.0804e+01   6.9663 1.241e-11 ***      
                iis143         4.0431e+02  8.3273e+01   4.8553 1.691e-06 ***      
                iis144         3.2776e+02  8.5732e+01   3.8231 0.0001514 ***      
                iis347        -5.2566e+02  7.2231e+01  -7.2776 1.649e-12 ***      
                iis348         4.7374e+02  7.2702e+01   6.5163 2.038e-10 ***      
                iis349         1.7236e+03  7.2133e+01  23.8946 < 2.2e-16 ***      
                iis350         9.3320e+02  7.3783e+01  12.6478 < 2.2e-16 ***      
                iis352        -4.0825e+02  7.5118e+01  -5.4348 9.250e-08 ***      
                iis358        -1.3282e+03  7.3949e+01 -17.9614 < 2.2e-16 ***      
                iis372         3.5295e+02  8.2842e+01   4.2606 2.512e-05 ***      
                iis378        -6.5013e+02  7.7004e+01  -8.4428 4.908e-16 ***      
                iis380        -3.6129e+02  8.6174e+01  -4.1926 3.356e-05 ***      
                iis490         3.1251e+02  7.5295e+01   4.1505 4.008e-05 ***      
                iis495         8.8293e+02  8.5297e+01  10.3512 < 2.2e-16 ***      
                iis496         6.4306e+02  8.5357e+01   7.5338 2.982e-13 ***      
                iis497        -7.7665e+02  8.5632e+01  -9.0696 < 2.2e-16 ***      
                iis502        -2.9113e+02  8.5474e+01  -3.4061 0.0007216 ***      
                fesisCHN.2000 -1.5568e+02  5.7060e+01  -2.7284 0.0066270 **       
                fesisDEU.2006  3.4155e+02  3.8495e+01   8.8726 < 2.2e-16 ***      
                fesisDEU.2012 -3.2837e+02  3.7893e+01  -8.6656 < 2.2e-16 ***      
                fesisJPN.1999  5.1824e+02  6.3950e+01   8.1038 5.691e-15 ***      
                fesisJPN.2001 -3.0732e+02  5.9886e+01  -5.1318 4.370e-07 ***      
                fesisKOR.2003  1.9562e+02  6.6499e+01   2.9417 0.0034419 **       
                fesisKOR.2009  3.3523e+02  7.0173e+01   4.7772 2.450e-06 ***      
                fesisKOR.2017 -3.0167e+02  7.2691e+01  -4.1501 4.015e-05 ***      
                fesisUSA.2005  4.5482e+02  4.5895e+01   9.9101 < 2.2e-16 ***      
                fesisUSA.2012 -3.1767e+02  6.0679e+01  -5.2353 2.592e-07 ***      
                fesisUSA.2017 -4.6869e+02  6.9665e+01  -6.7277 5.572e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df   p-value          
                Ljung-Box AR(1)    0.17683  1    0.6741          
                Ljung-Box ARCH(1) 66.34007  1 3.331e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    67.76081      
                R-squared            0.99895      
                Log-lik.(n=502)  -2790.73115      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 02:26:54 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.5969e-01  1.2574e-02  68.3687 < 2.2e-16 ***      
                gdp           -8.0545e-14  1.5652e-13  -0.5146 0.6071067          
                pop            5.1537e-06  5.0789e-07  10.1473 < 2.2e-16 ***      
                idAUT          7.6305e+01  1.8249e+01   4.1813 3.538e-05 ***      
                idBEL          4.5848e+01  1.7650e+01   2.5976 0.0097205 **       
                idCAN         -1.4232e+01  1.7662e+01  -0.8058 0.4208402          
                idCHE          7.2721e+01  1.8325e+01   3.9683 8.528e-05 ***      
                idCHN         -6.2488e+03  6.1792e+02 -10.1126 < 2.2e-16 ***      
                idDEU          5.8759e+00  3.4813e+01   0.1688 0.8660465          
                idDNK          9.6196e+01  1.8873e+01   5.0971 5.252e-07 ***      
                idESP         -1.1912e+02  2.0609e+01  -5.7799 1.470e-08 ***      
                idFIN          7.5089e+01  1.8641e+01   4.0281 6.688e-05 ***      
                idFRA         -8.0421e+01  2.4863e+01  -3.2346 0.0013157 **       
                idGBR         -1.1918e+02  2.4693e+01  -4.8265 1.957e-06 ***      
                idISR          6.3463e+01  1.8609e+01   3.4103 0.0007124 ***      
                idITA         -1.6066e+02  2.4673e+01  -6.5116 2.152e-10 ***      
                idJPN          1.2044e+02  8.9399e+01   1.3473 0.1786284          
                idKOR          2.7228e+01  1.3571e+02   0.2006 0.8410858          
                idNLD          4.6152e+01  1.7265e+01   2.6732 0.0078098 **       
                idNOR          6.7658e+01  1.8599e+01   3.6376 0.0003098 ***      
                idRUS         -6.4538e+02  6.6392e+01  -9.7208 < 2.2e-16 ***      
                idSWE          7.2400e+01  1.8107e+01   3.9985 7.546e-05 ***      
                idUSA         -7.7487e+02  1.2133e+02  -6.3864 4.558e-10 ***      
                time1996      -1.0573e+02  2.0387e+01  -5.1863 3.359e-07 ***      
                time1997      -1.1097e+02  2.0438e+01  -5.4296 9.633e-08 ***      
                time1998      -1.0085e+02  2.0308e+01  -4.9659 1.001e-06 ***      
                time1999      -9.6035e+01  2.0493e+01  -4.6863 3.778e-06 ***      
                time2000      -6.9363e+01  1.9512e+01  -3.5549 0.0004216 ***      
                time2001      -8.1512e+01  1.9664e+01  -4.1451 4.119e-05 ***      
                time2002      -9.2121e+01  1.9735e+01  -4.6678 4.115e-06 ***      
                time2003      -1.0216e+02  1.9900e+01  -5.1335 4.380e-07 ***      
                time2004      -7.3648e+01  1.9887e+01  -3.7033 0.0002416 ***      
                time2005      -7.4510e+01  2.0119e+01  -3.7035 0.0002414 ***      
                time2006      -8.4250e+01  2.0210e+01  -4.1688 3.729e-05 ***      
                time2007      -5.4661e+01  2.0176e+01  -2.7092 0.0070231 **       
                time2008      -5.0072e+01  2.0382e+01  -2.4567 0.0144301 *        
                time2009      -4.1815e+01  2.0612e+01  -2.0287 0.0431295 *        
                time2010      -1.5817e+01  2.0511e+01  -0.7712 0.4410533          
                time2011      -6.0523e+01  2.0439e+01  -2.9611 0.0032411 **       
                time2012      -7.9906e+01  2.0556e+01  -3.8872 0.0001180 ***      
                time2013      -1.0223e+02  2.0934e+01  -4.8832 1.492e-06 ***      
                time2014      -1.0848e+02  2.0673e+01  -5.2473 2.467e-07 ***      
                time2015      -9.8336e+01  2.1079e+01  -4.6651 4.167e-06 ***      
                time2016      -8.1692e+01  2.0623e+01  -3.9612 8.778e-05 ***      
                time2017      -4.7308e+01  2.0663e+01  -2.2895 0.0225490 *        
                time2018      -5.5921e+01  2.0565e+01  -2.7193 0.0068170 **       
                time2019      -1.2349e+02  2.0831e+01  -5.9285 6.439e-09 ***      
                iis141         8.0125e+02  6.7726e+01  11.8309 < 2.2e-16 ***      
                iis142         6.3102e+02  7.0239e+01   8.9839 < 2.2e-16 ***      
                iis143         5.0080e+02  7.3141e+01   6.8470 2.726e-11 ***      
                iis144         4.3712e+02  7.5860e+01   5.7621 1.621e-08 ***      
                iis162        -3.7727e+02  6.4560e+01  -5.8437 1.033e-08 ***      
                iis341        -1.9787e+02  8.5016e+01  -2.3274 0.0204240 *        
                iis347        -7.3882e+02  7.1181e+01 -10.3796 < 2.2e-16 ***      
                iis348         2.4141e+02  7.2967e+01   3.3085 0.0010199 **       
                iis349         1.5281e+03  7.0133e+01  21.7880 < 2.2e-16 ***      
                iis350         8.0275e+02  6.7611e+01  11.8731 < 2.2e-16 ***      
                iis351        -2.6270e+02  6.8921e+01  -3.8116 0.0001590 ***      
                iis352        -5.3209e+02  6.8183e+01  -7.8039 4.928e-14 ***      
                iis354        -3.7764e+02  6.7334e+01  -5.6085 3.732e-08 ***      
                iis358        -1.4453e+03  6.7457e+01 -21.4251 < 2.2e-16 ***      
                iis372         2.7654e+02  7.3268e+01   3.7744 0.0001838 ***      
                iis378        -7.9882e+02  8.5670e+01  -9.3244 < 2.2e-16 ***      
                iis380        -3.6007e+02  7.4815e+01  -4.8128 2.087e-06 ***      
                iis489         2.1316e+02  7.4059e+01   2.8783 0.0042055 **       
                iis490         5.1292e+02  7.1982e+01   7.1256 4.617e-12 ***      
                iis491         2.1333e+02  7.0107e+01   3.0429 0.0024922 **       
                iis492         2.6016e+02  6.9725e+01   3.7312 0.0002171 ***      
                iis493         3.9834e+02  6.9571e+01   5.7257 1.978e-08 ***      
                iis494         2.6552e+02  6.9915e+01   3.7977 0.0001678 ***      
                iis495         8.5122e+02  7.0364e+01  12.0973 < 2.2e-16 ***      
                iis496         6.3334e+02  7.2866e+01   8.6918 < 2.2e-16 ***      
                iis497        -7.3968e+02  7.4820e+01  -9.8862 < 2.2e-16 ***      
                iis502        -3.2537e+02  7.4307e+01  -4.3786 1.514e-05 ***      
                fesisCHN.2000 -1.9801e+02  5.1318e+01  -3.8586 0.0001322 ***      
                fesisDEU.2006  4.0164e+02  3.5830e+01  11.2095 < 2.2e-16 ***      
                fesisDEU.2012 -2.6087e+02  3.4103e+01  -7.6495 1.422e-13 ***      
                fesisJPN.1999  5.5039e+02  5.5849e+01   9.8549 < 2.2e-16 ***      
                fesisJPN.2001 -4.0565e+02  7.4641e+01  -5.4347 9.380e-08 ***      
                fesisJPN.2003  2.5723e+02  6.6670e+01   3.8582 0.0001324 ***      
                fesisJPN.2008  1.6262e+02  5.1458e+01   3.1603 0.0016918 **       
                fesisKOR.2003  3.0664e+02  6.1505e+01   4.9856 9.091e-07 ***      
                fesisKOR.2009  4.6584e+02  6.4594e+01   7.2117 2.638e-12 ***      
                fesisKOR.2015  2.3187e+02  7.1993e+01   3.2207 0.0013796 **       
                fesisKOR.2017 -4.0456e+02  7.6212e+01  -5.3084 1.805e-07 ***      
                fesisUSA.2005  3.3506e+02  5.8992e+01   5.6798 2.541e-08 ***      
                fesisUSA.2017 -4.7722e+02  5.6555e+01  -8.4382 5.421e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df   p-value          
                Ljung-Box AR(1)    0.26737  1    0.6051          
                Ljung-Box ARCH(1) 63.56909  1 1.554e-15 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    58.65429      
                R-squared            0.99924      
                Log-lik.(n=502)  -2712.78080      

Count Ma

0

0.01

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 02:28:17 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                gdp_ma          0.62073   0.24197  2.5653 0.0106297 *        
                pop_ma          2.16872   1.06427  2.0377 0.0421555 *        
                idAUT           4.63983   1.85691  2.4987 0.0128186 *        
                idBEL           6.22475   1.82051  3.4192 0.0006848 ***      
                idCAN           4.08762   1.56164  2.6175 0.0091538 **       
                idCHE          -1.99451   2.06210 -0.9672 0.3339483          
                idCHN          24.93231   4.30654  5.7894 1.321e-08 ***      
                idDEU           5.64265   2.12946  2.6498 0.0083354 **       
                idDNK           8.20519   1.89606  4.3275 1.857e-05 ***      
                idESP           6.13744   2.18618  2.8074 0.0052101 **       
                idFIN          -6.48021   3.46356 -1.8710 0.0619936 .        
                idFRA           5.80779   1.83588  3.1635 0.0016638 **       
                idGBR           4.43547   1.77845  2.4940 0.0129863 *        
                idISR           3.64130   2.39452  1.5207 0.1290379          
                idITA           6.48771   2.09707  3.0937 0.0020990 **       
                idJPN           5.43750   2.19351  2.4789 0.0135415 *        
                idKOR          25.30229   3.38553  7.4737 4.061e-13 ***      
                idNLD           5.75335   1.82821  3.1470 0.0017585 **       
                idNOR          14.69663   3.00893  4.8843 1.442e-06 ***      
                idRUS           5.19272   2.24735  2.3106 0.0213038 *        
                idSWE           3.10838   1.72477  1.8022 0.0721785 .        
                idUSA           3.85611   1.60715  2.3993 0.0168277 *        
                time1995       -0.24528   2.42021 -0.1013 0.9193215          
                time1996        2.11984   2.34090  0.9056 0.3656474          
                time1997        4.99839   2.37042  2.1086 0.0355234 *        
                time1998        4.45707   2.36227  1.8868 0.0598301 .        
                time1999        4.57525   2.44030  1.8749 0.0614530 .        
                time2000        3.12993   2.43431  1.2858 0.1991838          
                time2001        0.36853   2.37913  0.1549 0.8769675          
                time2002       -2.16212   2.29611 -0.9416 0.3468771          
                time2003       -1.25138   2.33824 -0.5352 0.5927876          
                time2004        2.61791   2.34471  1.1165 0.2647914          
                time2005        3.65043   2.43784  1.4974 0.1349839          
                time2006        4.63821   2.50284  1.8532 0.0645071 .        
                time2007        4.58113   2.53639  1.8062 0.0715567 .        
                time2008        5.86895   2.35745  2.4895 0.0131487 *        
                time2009        4.71253   2.31290  2.0375 0.0421810 *        
                time2010        3.82801   2.26774  1.6880 0.0920935 .        
                time2011       -0.80344   2.33854 -0.3436 0.7313330          
                time2012       -7.46094   2.28968 -3.2585 0.0012043 **       
                time2013       -9.94917   2.30562 -4.3152 1.960e-05 ***      
                time2014      -11.77927   2.33265 -5.0497 6.424e-07 ***      
                time2015       -7.66012   2.35846 -3.2479 0.0012488 **       
                time2016       -7.21137   2.37828 -3.0322 0.0025673 **       
                time2017       -4.87456   2.36356 -2.0624 0.0397410 *        
                time2018       -8.40454   2.31204 -3.6351 0.0003097 ***      
                time2019       -5.88942   2.13300 -2.7611 0.0059948 **       
                iis187         40.21717   5.54495  7.2529 1.779e-12 ***      
                iis188         25.49188   5.54882  4.5941 5.641e-06 ***      
                iis189         26.89634   5.55522  4.8416 1.770e-06 ***      
                iis426         17.81853   6.06357  2.9386 0.0034651 **       
                iis449         22.34879   6.16927  3.6226 0.0003247 ***      
                iis451         25.72144   5.78673  4.4449 1.107e-05 ***      
                iis453         35.86365   5.55017  6.4617 2.678e-10 ***      
                fesisCHE.2008   6.69508   2.23575  2.9946 0.0028990 **       
                fesisCHN.1997 -16.91723   4.99780 -3.3849 0.0007739 ***      
                fesisCHN.2000  23.49413   3.87346  6.0654 2.779e-09 ***      
                fesisCHN.2006 -14.20630   2.66452 -5.3316 1.539e-07 ***      
                fesisESP.2004  22.40495   3.76125  5.9568 5.169e-09 ***      
                fesisESP.2007 -23.61410   3.79690 -6.2193 1.136e-09 ***      
                fesisFIN.1998  11.73373   3.38581  3.4656 0.0005795 ***      
                fesisISR.2005  21.16226   3.73948  5.6592 2.702e-08 ***      
                fesisISR.2008 -25.36438   3.51072 -7.2248 2.142e-12 ***      
                fesisKOR.1998 -18.55496   4.15825 -4.4622 1.025e-05 ***      
                fesisKOR.2002  25.55782   4.15324  6.1537 1.667e-09 ***      
                fesisKOR.2005 -22.60069   3.44009 -6.5698 1.386e-10 ***      
                fesisNOR.2000 -22.68637   4.71021 -4.8164 1.996e-06 ***      
                fesisNOR.2002  17.88254   4.28922  4.1692 3.664e-05 ***      
                fesisNOR.2010 -14.76021   2.95407 -4.9966 8.350e-07 ***      
                fesisNOR.2016  24.20608   3.51950  6.8777 2.028e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   48.063  1 4.127e-12 ***      
                Ljung-Box ARCH(1) 29.826  1 4.726e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     5.28171      
                R-squared            0.79586      
                Log-lik.(n=523)  -1577.50735      
0.05

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 02:28:14 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                gdp_ma          0.51921   0.20835  2.4920 0.0130756 *        
                pop_ma          1.93839   0.96280  2.0133 0.0447046 *        
                idAUT          12.56595   3.47366  3.6175 0.0003326 ***      
                idBEL          13.43219   3.46514  3.8764 0.0001225 ***      
                idCAN          16.29780   3.61174  4.5124 8.272e-06 ***      
                idCHE           5.87728   3.55148  1.6549 0.0986751 .        
                idCHN          33.39724   4.69081  7.1197 4.542e-12 ***      
                idDEU          13.44257   3.57453  3.7607 0.0001928 ***      
                idDNK          10.42614   4.51772  2.3078 0.0214801 *        
                idESP          13.53971   3.46456  3.9081 0.0001080 ***      
                idFIN           2.09859   4.17791  0.5023 0.6157071          
                idFRA          13.72513   3.46742  3.9583 8.824e-05 ***      
                idGBR          12.40563   3.44835  3.5976 0.0003584 ***      
                idISR           9.70532   3.57001  2.7186 0.0068204 **       
                idITA          14.23650   3.56339  3.9952 7.598e-05 ***      
                idJPN          15.14636   3.71026  4.0823 5.314e-05 ***      
                idKOR          34.22254   4.14810  8.2502 1.930e-15 ***      
                idNLD          13.70996   3.46376  3.9581 8.831e-05 ***      
                idNOR          23.15082   3.94917  5.8622 9.080e-09 ***      
                idRUS          18.05360   3.94386  4.5777 6.156e-06 ***      
                idSWE           8.50082   3.56510  2.3845 0.0175350 *        
                idUSA          11.95224   3.40143  3.5139 0.0004882 ***      
                time1995       -7.21846   3.54665 -2.0353 0.0424314 *        
                time1996       -5.17437   3.51735 -1.4711 0.1419926          
                time1997       -4.83178   3.71364 -1.3011 0.1939207          
                time1998       -5.05565   3.71045 -1.3625 0.1737369          
                time1999       -3.34548   3.73792 -0.8950 0.3712784          
                time2000       -4.94801   3.73976 -1.3231 0.1865072          
                time2001       -7.76850   3.71375 -2.0918 0.0370382 *        
                time2002       -9.20853   3.68204 -2.5009 0.0127561 *        
                time2003       -9.13070   3.71606 -2.4571 0.0143988 *        
                time2004       -4.21391   3.69925 -1.1391 0.2552826          
                time2005       -3.73952   3.75709 -0.9953 0.3201354          
                time2006       -0.54014   3.79408 -0.1424 0.8868598          
                time2007       -1.16191   3.79453 -0.3062 0.7595954          
                time2008       -0.78690   3.69089 -0.2132 0.8312719          
                time2009       -3.12098   3.65716 -0.8534 0.3939156          
                time2010       -4.04631   3.63808 -1.1122 0.2666662          
                time2011       -8.54981   3.67008 -2.3296 0.0202873 *        
                time2012      -15.69545   3.64809 -4.3024 2.092e-05 ***      
                time2013      -18.19192   3.65430 -4.9782 9.289e-07 ***      
                time2014      -19.99094   3.66607 -5.4530 8.350e-08 ***      
                time2015      -15.44813   3.68206 -4.1955 3.306e-05 ***      
                time2016      -14.95968   3.69153 -4.0524 6.011e-05 ***      
                time2017      -12.62048   3.68562 -3.4242 0.0006754 ***      
                time2018      -15.57865   3.67139 -4.2433 2.698e-05 ***      
                time2019      -13.90098   3.58776 -3.8746 0.0001234 ***      
                iis53          18.42234   4.71345  3.9085 0.0001078 ***      
                iis79          11.52896   4.87432  2.3652 0.0184592 *        
                iis187         38.58867   4.73967  8.1416 4.214e-15 ***      
                iis188         24.35573   4.73584  5.1428 4.111e-07 ***      
                iis189         26.39045   4.73242  5.5765 4.332e-08 ***      
                iis210         25.42440   4.84981  5.2424 2.486e-07 ***      
                iis211         22.68359   4.83662  4.6900 3.671e-06 ***      
                iis212         18.58782   4.84168  3.8391 0.0001419 ***      
                iis307         16.15173   4.75184  3.3991 0.0007390 ***      
                iis309         25.12358   4.73627  5.3045 1.808e-07 ***      
                iis310         15.07708   4.74786  3.1756 0.0016026 **       
                iis311         26.16579   4.74702  5.5120 6.111e-08 ***      
                iis322        -12.52801   4.71699 -2.6559 0.0082015 **       
                iis426         19.76040   5.14705  3.8392 0.0001419 ***      
                iis449         15.75297   5.49496  2.8668 0.0043492 **       
                iis451         22.39514   5.15843  4.3415 1.765e-05 ***      
                iis453         31.23050   4.92132  6.3460 5.591e-10 ***      
                iis456        -19.47208   4.92730 -3.9519 9.056e-05 ***      
                iis457        -17.15360   4.93600 -3.4752 0.0005621 ***      
                fesisAUS.1997  14.97118   3.70285  4.0431 6.245e-05 ***      
                fesisAUS.2004 -13.00511   2.42096 -5.3719 1.276e-07 ***      
                fesisAUS.2012   8.87255   2.30563  3.8482 0.0001369 ***      
                fesisCAN.2004 -12.27366   2.64439 -4.6414 4.597e-06 ***      
                fesisCAN.2009   7.51756   2.51276  2.9918 0.0029327 **       
                fesisCHE.2008   7.00079   1.93341  3.6210 0.0003283 ***      
                fesisCHN.1997 -15.22145   4.24781 -3.5834 0.0003778 ***      
                fesisCHN.2000  22.02393   3.29081  6.6926 6.825e-11 ***      
                fesisCHN.2006 -14.45044   2.26172 -6.3891 4.323e-10 ***      
                fesisDNK.1997  21.25399   4.61307  4.6073 5.375e-06 ***      
                fesisDNK.1999 -16.34526   3.43980 -4.7518 2.749e-06 ***      
                fesisFIN.1998  11.01347   2.88096  3.8228 0.0001513 ***      
                fesisJPN.2005 -10.73866   2.74672 -3.9096 0.0001073 ***      
                fesisJPN.2009  10.15738   2.71792  3.7372 0.0002111 ***      
                fesisKOR.1998 -18.25322   3.53145 -5.1688 3.609e-07 ***      
                fesisKOR.2002  21.45114   3.27195  6.5561 1.579e-10 ***      
                fesisKOR.2006 -30.00835   3.99210 -7.5169 3.265e-13 ***      
                fesisKOR.2008  14.38043   3.70426  3.8821 0.0001197 ***      
                fesisKOR.2015  -8.27729   2.70380 -3.0614 0.0023409 **       
                fesisNOR.2000 -22.65636   3.99446 -5.6719 2.589e-08 ***      
                fesisNOR.2002  16.59142   3.63970  4.5585 6.718e-06 ***      
                fesisNOR.2010 -13.51867   2.52784 -5.3479 1.445e-07 ***      
                fesisNOR.2016  23.74396   2.98843  7.9453 1.699e-14 ***      
                fesisRUS.2007  -5.63603   2.21036 -2.5498 0.0111222 *        
                fesisSWE.2009   6.02247   1.97786  3.0449 0.0024696 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   25.1838  1 5.212e-07 ***      
                Ljung-Box ARCH(1)  9.8835  1  0.001668 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     4.47419      
                R-squared            0.86030      
                Log-lik.(n=523)  -1480.22867      

1

0.01

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 02:28:13 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.430318   0.033293 12.9254 < 2.2e-16 ***      
                gdp_ma          0.672307   0.218491  3.0770 0.0022227 **       
                pop_ma          3.162039   0.915081  3.4555 0.0006033 ***      
                idAUT           4.553802   1.715376  2.6547 0.0082292 **       
                idBEL           5.293528   1.693660  3.1255 0.0018939 **       
                idCAN           2.019379   1.500850  1.3455 0.1791679          
                idCHE           1.883124   1.550464  1.2146 0.2251947          
                idCHN          11.157946   2.172756  5.1354 4.256e-07 ***      
                idDEU           5.993027   1.948890  3.0751 0.0022369 **       
                idDNK           6.815217   2.247251  3.0327 0.0025688 **       
                idESP           4.872433   1.649982  2.9530 0.0033173 **       
                idFIN           4.445652   1.765976  2.5174 0.0121811 *        
                idFRA           5.159990   1.704565  3.0272 0.0026153 **       
                idGBR           4.196457   1.651102  2.5416 0.0113804 *        
                idISR          -2.640058   1.632291 -1.6174 0.1065181          
                idITA           6.548743   1.921057  3.4089 0.0007130 ***      
                idJPN           5.797699   2.004404  2.8925 0.0040139 **       
                idKOR           6.894371   2.429246  2.8381 0.0047511 **       
                idNLD           4.565919   1.703788  2.6799 0.0076448 **       
                idNOR           7.045161   1.986936  3.5457 0.0004340 ***      
                idRUS           4.689579   2.053720  2.2835 0.0228849 *        
                idSWE           2.933702   1.606939  1.8256 0.0685890 .        
                idUSA           2.979880   1.523961  1.9554 0.0511813 .        
                time1996       -1.363316   2.133043 -0.6391 0.5230673          
                time1997       -0.033782   2.166891 -0.0156 0.9875684          
                time1998       -3.199211   2.140020 -1.4949 0.1356540          
                time1999       -1.070760   2.193435 -0.4882 0.6256784          
                time2000       -2.244241   2.195120 -1.0224 0.3071707          
                time2001       -4.770269   2.126262 -2.2435 0.0253671 *        
                time2002       -3.695473   2.083759 -1.7735 0.0768513 .        
                time2003       -4.352097   2.132944 -2.0404 0.0419120 *        
                time2004        0.209339   2.114070  0.0990 0.9211666          
                time2005       -0.605549   2.220866 -0.2727 0.7852415          
                time2006        1.125431   2.264519  0.4970 0.6194509          
                time2007       -2.500930   2.248019 -1.1125 0.2665358          
                time2008        0.076856   2.090159  0.0368 0.9706848          
                time2009       -0.605812   2.047806 -0.2958 0.7674975          
                time2010       -1.025363   2.017572 -0.5082 0.6115590          
                time2011       -5.036321   2.080274 -2.4210 0.0158867 *        
                time2012       -9.997313   2.039393 -4.9021 1.341e-06 ***      
                time2013       -9.477782   2.076905 -4.5634 6.557e-06 ***      
                time2014      -11.031064   2.130426 -5.1779 3.438e-07 ***      
                time2015       -6.229340   2.165233 -2.8770 0.0042125 **       
                time2016       -6.472575   2.140669 -3.0236 0.0026454 **       
                time2017       -4.839181   2.120335 -2.2823 0.0229553 *        
                time2018       -9.307694   2.067820 -4.5012 8.686e-06 ***      
                time2019       -5.012401   1.928867 -2.5986 0.0096777 **       
                iis75          19.020306   5.159993  3.6861 0.0002565 ***      
                iis122        -16.170050   5.208603 -3.1045 0.0020306 **       
                iis170         18.072342   5.361634  3.3707 0.0008168 ***      
                iis179         22.950338   6.245220  3.6749 0.0002677 ***      
                iis201         20.206475   5.258194  3.8429 0.0001397 ***      
                iis294         23.468723   5.218229  4.4974 8.834e-06 ***      
                iis296         25.166789   5.175911  4.8623 1.624e-06 ***      
                iis298         23.808487   5.201341  4.5774 6.153e-06 ***      
                iis369        -13.635746   5.230630 -2.6069 0.0094504 **       
                iis408         22.763319   5.302547  4.2929 2.176e-05 ***      
                iis411        -23.464749   5.267932 -4.4543 1.072e-05 ***      
                iis432         29.973594   5.392601  5.5583 4.759e-08 ***      
                iis434         36.772531   5.163287  7.1219 4.436e-12 ***      
                iis437        -18.207639   5.209129 -3.4953 0.0005221 ***      
                fesisDNK.2006  12.999089   4.067031  3.1962 0.0014939 **       
                fesisDNK.2009 -15.708390   4.040745 -3.8875 0.0001171 ***      
                fesisKOR.2002  14.777653   3.602011  4.1026 4.878e-05 ***      
                fesisKOR.2005 -14.989966   3.256194 -4.6035 5.460e-06 ***      
                fesisNOR.2009 -12.831389   2.811304 -4.5642 6.533e-06 ***      
                fesisNOR.2014  16.374147   3.101002  5.2803 2.042e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value      
                Ljung-Box AR(1)   1.7423  1  0.1868      
                Ljung-Box ARCH(1) 2.5370  1  0.1112      
                                                  
                SE of regression     4.91564      
                R-squared            0.82442      
                Log-lik.(n=502)  -1478.20286      
0.05

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 02:28:21 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.449623   0.032324 13.9100 < 2.2e-16 ***      
                gdp_ma          0.627378   0.210893  2.9749 0.0030996 **       
                pop_ma          1.778775   0.907185  1.9608 0.0505641 .        
                idAUT           3.119482   1.616552  1.9297 0.0543124 .        
                idBEL           3.904368   1.591874  2.4527 0.0145832 *        
                idCAN           0.771948   1.402252  0.5505 0.5822636          
                idCHE           1.010920   1.444065  0.7001 0.4842805          
                idCHN           9.242687   2.065202  4.4754 9.822e-06 ***      
                idDEU           3.996793   1.859899  2.1489 0.0322081 *        
                idDNK          -3.940480   4.788772 -0.8229 0.4110535          
                idESP           4.870882   2.041188  2.3863 0.0174589 *        
                idFIN           2.851662   1.669432  1.7082 0.0883414 .        
                idFRA           3.769039   1.604304  2.3493 0.0192674 *        
                idGBR           2.938768   1.548763  1.8975 0.0584450 .        
                idISR           2.701469   2.266135  1.1921 0.2338902          
                idITA           4.704545   1.830541  2.5700 0.0105112 *        
                idJPN           3.732059   1.918044  1.9458 0.0523468 .        
                idKOR           8.133467   2.396111  3.3944 0.0007527 ***      
                idNLD           3.137922   1.602914  1.9576 0.0509313 .        
                idNOR           5.849696   1.842039  3.1757 0.0016046 **       
                idRUS          -2.131828   2.798244 -0.7618 0.4465780          
                idSWE           1.784850   1.502217  1.1881 0.2354447          
                idUSA           2.137807   1.413582  1.5123 0.1311976          
                time1996        1.151264   2.047357  0.5623 0.5741985          
                time1997        2.618800   2.082004  1.2578 0.2091499          
                time1998       -1.546413   2.071321 -0.7466 0.4557310          
                time1999        0.605921   2.099899  0.2885 0.7730691          
                time2000       -1.804909   2.143269 -0.8421 0.4001927          
                time2001       -2.811368   2.041839 -1.3769 0.1692793          
                time2002       -0.914948   2.015103 -0.4540 0.6500298          
                time2003       -1.943612   2.049358 -0.9484 0.3434684          
                time2004        1.184488   2.037256  0.5814 0.5612722          
                time2005        1.041558   2.113636  0.4928 0.6224242          
                time2006        2.428310   2.150123  1.1294 0.2593783          
                time2007       -0.337565   2.185181 -0.1545 0.8773059          
                time2008        2.621093   2.028378  1.2922 0.1969911          
                time2009        1.832267   1.987734  0.9218 0.3571665          
                time2010        1.387432   1.953677  0.7102 0.4779945          
                time2011       -3.231397   2.017826 -1.6014 0.1100312          
                time2012       -8.140633   1.971930 -4.1283 4.407e-05 ***      
                time2013       -7.441113   2.001559 -3.7177 0.0002282 ***      
                time2014       -8.885638   2.052536 -4.3291 1.872e-05 ***      
                time2015       -4.031723   2.086026 -1.9327 0.0539384 .        
                time2016       -4.374286   2.066768 -2.1165 0.0348883 *        
                time2017       -2.337757   2.046951 -1.1421 0.2540734          
                time2018       -6.936096   1.995719 -3.4755 0.0005628 ***      
                time2019       -2.755546   1.844948 -1.4936 0.1360372          
                iis75          19.893590   4.751176  4.1871 3.441e-05 ***      
                iis77          13.808027   4.746680  2.9090 0.0038177 **       
                iis122        -15.855817   4.797482 -3.3050 0.0010308 **       
                iis125         15.466878   4.798700  3.2231 0.0013663 **       
                iis177         17.477081   5.023860  3.4788 0.0005560 ***      
                iis179         24.448740   5.738757  4.2603 2.520e-05 ***      
                iis194        -11.763563   5.002434 -2.3516 0.0191534 *        
                iis201         13.627621   5.704987  2.3887 0.0173457 *        
                iis293        -17.038406   5.032539 -3.3856 0.0007766 ***      
                iis294         18.515817   5.058090  3.6606 0.0002835 ***      
                iis296         20.579733   5.023232  4.0969 5.021e-05 ***      
                iis298         18.413942   5.048070  3.6477 0.0002977 ***      
                iis361        -12.751169   5.111584 -2.4946 0.0129927 *        
                iis369        -13.123872   4.809376 -2.7288 0.0066220 **       
                iis408         21.948296   4.873979  4.5032 8.675e-06 ***      
                iis411        -22.208751   4.851265 -4.5779 6.187e-06 ***      
                iis432         33.737804   5.295508  6.3710 4.919e-10 ***      
                iis434         41.431531   5.082538  8.1517 4.127e-15 ***      
                iis437        -14.806937   5.118918 -2.8926 0.0040185 **       
                fesisDNK.1997  22.182808   5.682358  3.9038 0.0001102 ***      
                fesisDNK.1999 -15.297150   3.799456 -4.0261 6.722e-05 ***      
                fesisDNK.2006  14.268677   3.891780  3.6664 0.0002774 ***      
                fesisDNK.2009 -14.645798   3.729095 -3.9274 0.0001003 ***      
                fesisESP.2004   7.875138   3.888090  2.0255 0.0434499 *        
                fesisESP.2007 -10.428249   3.816838 -2.7322 0.0065560 **       
                fesisISR.2008 -13.491366   3.324822 -4.0578 5.904e-05 ***      
                fesisISR.2011  13.674773   3.280605  4.1684 3.724e-05 ***      
                fesisISR.2017  -9.969578   3.272045 -3.0469 0.0024574 **       
                fesisKOR.2002  11.847922   3.428642  3.4556 0.0006048 ***      
                fesisKOR.2005 -14.863910   3.000521 -4.9538 1.055e-06 ***      
                fesisNOR.2009 -11.966072   2.589768 -4.6205 5.093e-06 ***      
                fesisNOR.2014  15.641745   2.851255  5.4859 7.103e-08 ***      
                fesisRUS.2004   6.134211   2.432626  2.5216 0.0120481 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value      
                Ljung-Box AR(1)   1.7342  1  0.1879      
                Ljung-Box ARCH(1) 1.1869  1  0.2760      
                                                  
                SE of regression     4.51240      
                R-squared            0.85647      
                Log-lik.(n=502)  -1428.73562      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 02:27:00 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                lgdp            1.4531111   0.1003786  14.4763 < 2.2e-16 ***      
                lpop           -0.0624736   0.2582882  -0.2419 0.8089873          
                idAUT           2.0127186   0.2243547   8.9711 < 2.2e-16 ***      
                idBEL           1.1600179   0.1714938   6.7642 4.202e-11 ***      
                idCAN           0.3112625   0.1293390   2.4066 0.0165073 *        
                idCHE           1.4981697   0.2466973   6.0729 2.683e-09 ***      
                idCHN          -4.2347409   1.0123951  -4.1829 3.464e-05 ***      
                idDEU           1.5091348   0.3460862   4.3606 1.611e-05 ***      
                idDNK          -1.1841422   0.3507127  -3.3764 0.0007984 ***      
                idESP          -0.3670008   0.2161516  -1.6979 0.0902236 .        
                idFIN           2.1654734   0.3278929   6.6042 1.134e-10 ***      
                idFRA           0.8185427   0.2890602   2.8317 0.0048381 **       
                idGBR           0.7824949   0.2860537   2.7355 0.0064762 **       
                idISR          -0.0048574   0.2634267  -0.0184 0.9852966          
                idITA          -0.0568242   0.2752240  -0.2065 0.8365213          
                idJPN          -5.2093974   0.6078075  -8.5708 < 2.2e-16 ***      
                idKOR          -8.4000297   0.6167739 -13.6193 < 2.2e-16 ***      
                idNLD           1.2955235   0.0870842  14.8767 < 2.2e-16 ***      
                idNOR          -2.3813241   0.4044732  -5.8875 7.699e-09 ***      
                idRUS          -6.3227341   0.5199722 -12.1598 < 2.2e-16 ***      
                idSWE          -1.0941825   0.2545227  -4.2990 2.107e-05 ***      
                idUSA          -0.3125175   0.6486063  -0.4818 0.6301625          
                time1995      -34.7855190   4.1717517  -8.3383 9.354e-16 ***      
                time1996      -34.6817665   4.1731196  -8.3108 1.145e-15 ***      
                time1997      -34.6815555   4.1737546  -8.3094 1.156e-15 ***      
                time1998      -34.5805119   4.1754447  -8.2819 1.413e-15 ***      
                time1999      -34.5074136   4.1777535  -8.2598 1.659e-15 ***      
                time2000      -34.4808472   4.1802969  -8.2484 1.802e-15 ***      
                time2001      -34.3943132   4.1816486  -8.2251 2.135e-15 ***      
                time2002      -34.4113719   4.1834752  -8.2255 2.127e-15 ***      
                time2003      -34.3328814   4.1849786  -8.2038 2.490e-15 ***      
                time2004      -34.3333034   4.1860711  -8.2018 2.527e-15 ***      
                time2005      -34.2631007   4.1876873  -8.1819 2.918e-15 ***      
                time2006      -34.1828411   4.1900618  -8.1581 3.464e-15 ***      
                time2007      -34.0917784   4.1939855  -8.1287 4.279e-15 ***      
                time2008      -34.0205851   4.1960369  -8.1078 4.973e-15 ***      
                time2009      -33.8277513   4.1954267  -8.0630 6.853e-15 ***      
                time2010      -33.7643912   4.1977476  -8.0435 7.880e-15 ***      
                time2011      -33.7388955   4.1996625  -8.0337 8.447e-15 ***      
                time2012      -33.7358935   4.2013535  -8.0298 8.688e-15 ***      
                time2013      -33.8262375   4.2012427  -8.0515 7.441e-15 ***      
                time2014      -33.8723060   4.2032412  -8.0586 7.072e-15 ***      
                time2015      -33.9402855   4.2051807  -8.0711 6.470e-15 ***      
                time2016      -33.9652058   4.2064928  -8.0745 6.314e-15 ***      
                time2017      -33.9599924   4.2085318  -8.0693 6.551e-15 ***      
                time2018      -33.9728913   4.2103839  -8.0688 6.574e-15 ***      
                time2019      -34.0674753   4.2120000  -8.0882 5.723e-15 ***      
                iis188          0.7508645   0.1359457   5.5233 5.650e-08 ***      
                iis189          0.9245462   0.1360082   6.7977 3.404e-11 ***      
                iis190          0.7963786   0.1360828   5.8522 9.382e-09 ***      
                iis191          0.9290012   0.1361654   6.8226 2.911e-11 ***      
                iis192          0.9240905   0.1362418   6.7827 3.741e-11 ***      
                iis193          0.6912711   0.1363161   5.0711 5.801e-07 ***      
                iis194          0.5793638   0.1362905   4.2509 2.592e-05 ***      
                iis195          0.7056211   0.1363246   5.1760 3.428e-07 ***      
                iis196          0.6160815   0.1363031   4.5199 7.927e-06 ***      
                iis197          0.8125333   0.1361598   5.9675 4.901e-09 ***      
                iis198          0.6749225   0.1361547   4.9570 1.017e-06 ***      
                iis199          0.8308640   0.1361732   6.1015 2.275e-09 ***      
                iis200          0.8093771   0.1362010   5.9425 5.646e-09 ***      
                iis374         -0.4634847   0.1388387  -3.3383 0.0009133 ***      
                iis452          0.3754022   0.1385293   2.7099 0.0069883 **       
                iis454          0.5588649   0.1373017   4.0703 5.549e-05 ***      
                fesisAUS.2009  -0.6755534   0.0598400 -11.2893 < 2.2e-16 ***      
                fesisCHE.1999  -0.3055317   0.0923782  -3.3074 0.0010175 **       
                fesisCHE.2003  -0.2829979   0.0731895  -3.8666 0.0001267 ***      
                fesisCHN.2001   0.3953654   0.0953312   4.1473 4.026e-05 ***      
                fesisCHN.2004   0.5173266   0.1051659   4.9191 1.223e-06 ***      
                fesisCHN.2016   0.5226966   0.0911047   5.7373 1.773e-08 ***      
                fesisESP.2005   0.5863313   0.0551599  10.6297 < 2.2e-16 ***      
                fesisISR.2013  -0.3009579   0.0706248  -4.2614 2.478e-05 ***      
                fesisITA.2007   0.3152924   0.0558885   5.6415 2.993e-08 ***      
                fesisKOR.2004   0.7593138   0.0646540  11.7443 < 2.2e-16 ***      
                fesisRUS.2007  -0.4896569   0.0669338  -7.3155 1.193e-12 ***      
                fesisSWE.2001  -0.4834154   0.0619741  -7.8003 4.382e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   74.917  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 63.897  1 1.332e-15 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.12720      
                R-squared          0.99319      
                Log-lik.(n=523)  373.80411      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 02:27:12 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.624856   0.085415  19.0231 < 2.2e-16 ***      
                lpop           -0.219013   0.233991  -0.9360 0.3497975          
                idAUT           2.326270   0.198248  11.7341 < 2.2e-16 ***      
                idBEL           1.299403   0.149630   8.6841 < 2.2e-16 ***      
                idCAN           0.364273   0.115871   3.1438 0.0017820 **       
                idCHE           1.611780   0.223709   7.2048 2.582e-12 ***      
                idCHN          -3.825714   0.910927  -4.1998 3.242e-05 ***      
                idDEU           1.621675   0.311700   5.2027 3.032e-07 ***      
                idDNK          -1.392423   0.318287  -4.3747 1.524e-05 ***      
                idESP          -0.126606   0.195050  -0.6491 0.5166203          
                idFIN           2.684830   0.296397   9.0582 < 2.2e-16 ***      
                idFRA           0.945515   0.260654   3.6275 0.0003202 ***      
                idGBR           0.934281   0.258214   3.6182 0.0003314 ***      
                idISR          -0.133511   0.239739  -0.5569 0.5778821          
                idITA           0.085111   0.247921   0.3433 0.7315381          
                idJPN          -5.924838   0.515946 -11.4835 < 2.2e-16 ***      
                idKOR          -9.368148   0.517608 -18.0989 < 2.2e-16 ***      
                idNLD           1.409701   0.074645  18.8854 < 2.2e-16 ***      
                idNOR          -2.638040   0.370203  -7.1259 4.322e-12 ***      
                idRUS          -6.744616   0.453266 -14.8800 < 2.2e-16 ***      
                idSWE          -1.324231   0.228926  -5.7846 1.391e-08 ***      
                idUSA          -0.294920   0.580840  -0.5077 0.6118881          
                time1995      -36.996402   3.668174 -10.0858 < 2.2e-16 ***      
                time1996      -36.879026   3.668210 -10.0537 < 2.2e-16 ***      
                time1997      -36.855867   3.669277 -10.0444 < 2.2e-16 ***      
                time1998      -36.729164   3.670585 -10.0064 < 2.2e-16 ***      
                time1999      -36.704931   3.672356  -9.9949 < 2.2e-16 ***      
                time2000      -36.675735   3.674372  -9.9815 < 2.2e-16 ***      
                time2001      -36.579609   3.676007  -9.9509 < 2.2e-16 ***      
                time2002      -36.553872   3.677697  -9.9393 < 2.2e-16 ***      
                time2003      -36.493404   3.678960  -9.9195 < 2.2e-16 ***      
                time2004      -36.498272   3.679806  -9.9185 < 2.2e-16 ***      
                time2005      -36.429718   3.681057  -9.8965 < 2.2e-16 ***      
                time2006      -36.355178   3.682964  -9.8712 < 2.2e-16 ***      
                time2007      -36.291691   3.685861  -9.8462 < 2.2e-16 ***      
                time2008      -36.227018   3.687531  -9.8242 < 2.2e-16 ***      
                time2009      -36.001349   3.687782  -9.7623 < 2.2e-16 ***      
                time2010      -35.942742   3.689679  -9.7414 < 2.2e-16 ***      
                time2011      -35.920702   3.691264  -9.7313 < 2.2e-16 ***      
                time2012      -35.918716   3.692744  -9.7268 < 2.2e-16 ***      
                time2013      -35.988863   3.692078  -9.7476 < 2.2e-16 ***      
                time2014      -36.037328   3.693779  -9.7562 < 2.2e-16 ***      
                time2015      -36.107671   3.695429  -9.7709 < 2.2e-16 ***      
                time2016      -36.130511   3.696652  -9.7738 < 2.2e-16 ***      
                time2017      -36.149942   3.698273  -9.7748 < 2.2e-16 ***      
                time2018      -36.153572   3.699341  -9.7730 < 2.2e-16 ***      
                time2019      -36.262907   3.701173  -9.7977 < 2.2e-16 ***      
                iis1            0.354865   0.116191   3.0542 0.0023956 **       
                iis24          -0.246156   0.117031  -2.1033 0.0360101 *        
                iis129         -0.365886   0.117989  -3.1010 0.0020540 **       
                iis177         -0.370232   0.116402  -3.1806 0.0015747 **       
                iis188          0.724536   0.116295   6.2302 1.101e-09 ***      
                iis189          0.906539   0.116336   7.7924 4.884e-14 ***      
                iis190          0.755014   0.116265   6.4939 2.287e-10 ***      
                iis191          0.889902   0.116331   7.6497 1.307e-13 ***      
                iis192          0.886810   0.116392   7.6191 1.611e-13 ***      
                iis193          0.655208   0.116454   5.6263 3.301e-08 ***      
                iis194          0.522160   0.116492   4.4824 9.453e-06 ***      
                iis195          0.648849   0.116519   5.5686 4.502e-08 ***      
                iis196          0.558802   0.116501   4.7965 2.221e-06 ***      
                iis197          0.748909   0.116386   6.4347 3.270e-10 ***      
                iis198          0.632170   0.116395   5.4313 9.327e-08 ***      
                iis199          0.776235   0.116522   6.6617 8.200e-11 ***      
                iis200          0.767515   0.116431   6.5920 1.259e-10 ***      
                iis208         -0.362897   0.117070  -3.0998 0.0020620 **       
                iis311          0.445966   0.115348   3.8663 0.0001274 ***      
                iis312          0.545313   0.115513   4.7208 3.173e-06 ***      
                iis374         -0.392199   0.118454  -3.3110 0.0010071 **       
                iis450          0.446495   0.120428   3.7076 0.0002363 ***      
                iis452          0.503981   0.121244   4.1567 3.889e-05 ***      
                iis453          0.358297   0.120452   2.9746 0.0030970 **       
                iis454          0.705514   0.119631   5.8974 7.422e-09 ***      
                iis455          0.334434   0.119165   2.8065 0.0052336 **       
                fesisAUS.2009  -0.666007   0.052554 -12.6727 < 2.2e-16 ***      
                fesisAUT.2002  -0.256983   0.050206  -5.1186 4.630e-07 ***      
                fesisCHE.1998  -0.378218   0.081413  -4.6457 4.498e-06 ***      
                fesisCHE.2003  -0.323455   0.057373  -5.6378 3.103e-08 ***      
                fesisCHN.2004   0.576950   0.083756   6.8885 1.985e-11 ***      
                fesisCHN.2016   0.428280   0.077439   5.5306 5.517e-08 ***      
                fesisESP.2005   0.527512   0.048760  10.8185 < 2.2e-16 ***      
                fesisFIN.1997  -0.414251   0.083108  -4.9845 8.987e-07 ***      
                fesisISR.2013  -0.280660   0.062681  -4.4776 9.656e-06 ***      
                fesisITA.2007   0.320329   0.047643   6.7235 5.590e-11 ***      
                fesisKOR.2004   0.682630   0.055231  12.3595 < 2.2e-16 ***      
                fesisNOR.2013  -0.451137   0.062899  -7.1724 3.194e-12 ***      
                fesisNOR.2017   0.421756   0.084946   4.9650 9.885e-07 ***      
                fesisRUS.2007  -0.453051   0.059670  -7.5926 1.931e-13 ***      
                fesisSWE.2001  -0.539798   0.052931 -10.1981 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   47.489  1 5.532e-12 ***      
                Ljung-Box ARCH(1) 32.250  1 1.355e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.10829      
                R-squared          0.99521      
                Log-lik.(n=523)  464.47877      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 02:28:06 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.731595   0.022656 32.2909 < 2.2e-16 ***      
                lgdp            0.555295   0.061316  9.0562 < 2.2e-16 ***      
                lpop           -0.208229   0.197413 -1.0548 0.2921118          
                idAUT           0.590780   0.184391  3.2040 0.0014560 **       
                idBEL           0.398233   0.134779  2.9547 0.0033008 **       
                idCAN           0.120439   0.108181  1.1133 0.2661923          
                idCHE           0.192458   0.189848  1.0137 0.3112703          
                idCHN          -0.552121   0.821100 -0.6724 0.5016788          
                idDEU           0.537518   0.282698  1.9014 0.0579161 .        
                idDNK          -0.416681   0.270760 -1.5389 0.1245529          
                idESP           0.091690   0.160457  0.5714 0.5680061          
                idFIN           0.612750   0.268060  2.2859 0.0227457 *        
                idFRA           0.363039   0.233354  1.5557 0.1205011          
                idGBR           0.364553   0.228178  1.5977 0.1108477          
                idISR          -0.162425   0.220541 -0.7365 0.4618350          
                idITA           0.183066   0.216409  0.8459 0.3980636          
                idJPN          -2.053434   0.441208 -4.6541 4.335e-06 ***      
                idKOR          -3.028737   0.400496 -7.5625 2.399e-13 ***      
                idNLD           0.417042   0.069633  5.9891 4.445e-09 ***      
                idNOR          -1.058467   0.299397 -3.5353 0.0004513 ***      
                idRUS          -2.104621   0.436868 -4.8175 2.015e-06 ***      
                idSWE          -0.732128   0.173674 -4.2155 3.036e-05 ***      
                idUSA           0.013804   0.530895  0.0260 0.9792683          
                time1996      -10.547860   3.445442 -3.0614 0.0023406 **       
                time1997      -10.632460   3.446559 -3.0849 0.0021666 **       
                time1998      -10.559789   3.446910 -3.0636 0.0023241 **       
                time1999      -10.555710   3.447904 -3.0615 0.0023399 **       
                time2000      -10.560274   3.448918 -3.0619 0.0023366 **       
                time2001      -10.542892   3.449955 -3.0560 0.0023826 **       
                time2002      -10.591393   3.450798 -3.0693 0.0022811 **       
                time2003      -10.520578   3.451667 -3.0480 0.0024454 **       
                time2004      -10.532444   3.452595 -3.0506 0.0024246 **       
                time2005      -10.497460   3.452719 -3.0403 0.0025068 **       
                time2006      -10.457553   3.453287 -3.0283 0.0026068 **       
                time2007      -10.420825   3.454410 -3.0167 0.0027066 **       
                time2008      -10.450760   3.455271 -3.0246 0.0026383 **       
                time2009      -10.381673   3.454500 -3.0053 0.0028081 **       
                time2010      -10.362888   3.455619 -2.9989 0.0028666 **       
                time2011      -10.400271   3.456397 -3.0090 0.0027745 **       
                time2012      -10.441751   3.457390 -3.0201 0.0026766 **       
                time2013      -10.528971   3.458943 -3.0440 0.0024773 **       
                time2014      -10.499271   3.460968 -3.0336 0.0025621 **       
                time2015      -10.525293   3.462892 -3.0395 0.0025141 **       
                time2016      -10.482245   3.464548 -3.0256 0.0026298 **       
                time2017      -10.488869   3.465930 -3.0263 0.0026238 **       
                time2018      -10.484410   3.466668 -3.0243 0.0026403 **       
                time2019      -10.597884   3.468296 -3.0556 0.0023849 **       
                iis123         -0.439502   0.107411 -4.0918 5.109e-05 ***      
                iis169         -0.498667   0.124815 -3.9952 7.597e-05 ***      
                iis180          0.367312   0.106834  3.4382 0.0006425 ***      
                iis199         -0.284255   0.109794 -2.5890 0.0099505 **       
                iis294         -0.346636   0.110081 -3.1489 0.0017524 **       
                iis295          0.406226   0.110335  3.6818 0.0002610 ***      
                iis304         -0.322699   0.107193 -3.0104 0.0027615 **       
                iis309         -0.324866   0.107683 -3.0169 0.0027048 **       
                iis409          0.448707   0.104453  4.2958 2.152e-05 ***      
                iis431          0.477551   0.107056  4.4608 1.043e-05 ***      
                iis433          0.590622   0.107417  5.4984 6.569e-08 ***      
                iis435          0.642872   0.106459  6.0387 3.352e-09 ***      
                iis440          0.362901   0.104639  3.4681 0.0005767 ***      
                iis442         -0.287320   0.104608 -2.7467 0.0062724 **       
                iis450         -0.398783   0.104797 -3.8053 0.0001621 ***      
                fesisAUS.2005  -0.203468   0.049878 -4.0793 5.379e-05 ***      
                fesisDNK.1999  -0.269782   0.083632 -3.2258 0.0013515 **       
                fesisDNK.2005   0.455736   0.109983  4.1437 4.113e-05 ***      
                fesisDNK.2006  -0.494781   0.144134 -3.4328 0.0006550 ***      
                fesisDNK.2007   0.298369   0.106433  2.8033 0.0052855 **       
                fesisESP.2003   0.155095   0.051030  3.0393 0.0025155 **       
                fesisISR.2006   0.258153   0.074155  3.4812 0.0005499 ***      
                fesisISR.2009  -0.287101   0.070323 -4.0826 5.307e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df  p-value          
                Ljung-Box AR(1)    0.72045  1    0.396          
                Ljung-Box ARCH(1) 19.22808  1 1.16e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.09914      
                R-squared          0.99576      
                Log-lik.(n=502)  482.93615      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 02:28:05 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.725642   0.021474 33.7917 < 2.2e-16 ***      
                lgdp            0.560611   0.057398  9.7670 < 2.2e-16 ***      
                lpop           -0.081479   0.192026 -0.4243 0.6715556          
                idAUT           0.967280   0.194793  4.9657 9.950e-07 ***      
                idBEL           0.737914   0.152643  4.8343 1.874e-06 ***      
                idCAN           0.091193   0.145628  0.6262 0.5315159          
                idCHE           0.575406   0.200006  2.8769 0.0042188 **       
                idCHN          -0.837809   0.815005 -1.0280 0.3045467          
                idDEU           0.627545   0.291894  2.1499 0.0321289 *        
                idDNK           0.016255   0.271762  0.0598 0.9523314          
                idESP           0.257245   0.181875  1.4144 0.1579785          
                idFIN           1.056094   0.271020  3.8967 0.0001133 ***      
                idFRA           0.479741   0.247093  1.9415 0.0528569 .        
                idGBR           0.484441   0.242217  2.0000 0.0461361 *        
                idISR           0.238679   0.227369  1.0497 0.2944363          
                idITA           0.305763   0.232537  1.3149 0.1892554          
                idJPN          -2.041813   0.445376 -4.5845 6.001e-06 ***      
                idKOR          -2.909127   0.398286 -7.3041 1.399e-12 ***      
                idNLD           0.705142   0.106490  6.6217 1.080e-10 ***      
                idNOR          -0.607023   0.298059 -2.0366 0.0423137 *        
                idRUS          -2.122431   0.445160 -4.7678 2.567e-06 ***      
                idSWE          -0.207218   0.187964 -1.1024 0.2708978          
                idUSA          -0.066528   0.531124 -0.1253 0.9003785          
                time1996      -13.035518   3.379539 -3.8572 0.0001326 ***      
                time1997      -13.163404   3.380150 -3.8943 0.0001144 ***      
                time1998      -13.074169   3.380722 -3.8673 0.0001274 ***      
                time1999      -13.065968   3.381085 -3.8644 0.0001288 ***      
                time2000      -13.058408   3.381963 -3.8612 0.0001305 ***      
                time2001      -13.053692   3.382997 -3.8586 0.0001318 ***      
                time2002      -13.102583   3.383773 -3.8722 0.0001249 ***      
                time2003      -13.031839   3.384597 -3.8503 0.0001362 ***      
                time2004      -13.036396   3.384955 -3.8513 0.0001357 ***      
                time2005      -13.000530   3.384996 -3.8406 0.0001415 ***      
                time2006      -12.962117   3.385390 -3.8288 0.0001482 ***      
                time2007      -12.923846   3.386513 -3.8163 0.0001557 ***      
                time2008      -12.953957   3.387293 -3.8243 0.0001509 ***      
                time2009      -12.877088   3.387095 -3.8018 0.0001648 ***      
                time2010      -12.858658   3.388142 -3.7952 0.0001691 ***      
                time2011      -12.907548   3.388180 -3.8096 0.0001598 ***      
                time2012      -12.949555   3.389129 -3.8209 0.0001529 ***      
                time2013      -13.019420   3.390447 -3.8400 0.0001418 ***      
                time2014      -12.996426   3.392284 -3.8312 0.0001469 ***      
                time2015      -13.036865   3.394561 -3.8405 0.0001416 ***      
                time2016      -12.994754   3.396215 -3.8262 0.0001497 ***      
                time2017      -13.002084   3.397552 -3.8269 0.0001494 ***      
                time2018      -12.997035   3.398215 -3.8247 0.0001507 ***      
                time2019      -13.095640   3.399298 -3.8525 0.0001351 ***      
                iis3            0.213512   0.099750  2.1405 0.0328880 *        
                iis74           0.537777   0.114017  4.7166 3.262e-06 ***      
                iis123         -0.431684   0.098226 -4.3948 1.404e-05 ***      
                iis169         -0.532957   0.113981 -4.6759 3.943e-06 ***      
                iis178          0.455849   0.099272  4.5919 5.802e-06 ***      
                iis180          0.365529   0.097446  3.7511 0.0002006 ***      
                iis199         -0.283617   0.100129 -2.8325 0.0048392 **       
                iis221         -0.250973   0.094900 -2.6446 0.0084831 **       
                iis294         -0.348229   0.100370 -3.4695 0.0005750 ***      
                iis295          0.393149   0.100743  3.9025 0.0001107 ***      
                iis304         -0.417909   0.100329 -4.1654 3.769e-05 ***      
                iis409          0.439405   0.095700  4.5915 5.812e-06 ***      
                iis424         -0.287816   0.095123 -3.0257 0.0026317 **       
                iis425         -0.274239   0.095343 -2.8763 0.0042265 **       
                iis431          0.450817   0.097985  4.6009 5.568e-06 ***      
                iis433          0.591757   0.098312  6.0192 3.804e-09 ***      
                iis435          0.630873   0.097272  6.4856 2.470e-10 ***      
                iis440          0.357887   0.095398  3.7515 0.0002003 ***      
                iis442         -0.288712   0.095349 -3.0280 0.0026128 **       
                iis450         -0.392032   0.095548 -4.1030 4.894e-05 ***      
                fesisAUS.1997   0.271381   0.099887  2.7169 0.0068602 **       
                fesisAUS.2005  -0.235624   0.049230 -4.7862 2.353e-06 ***      
                fesisCAN.1999   0.346555   0.078097  4.4375 1.162e-05 ***      
                fesisCAN.2004  -0.150098   0.048850 -3.0726 0.0022591 **       
                fesisDNK.1999  -0.288725   0.075174 -3.8408 0.0001414 ***      
                fesisDNK.2007   0.262911   0.046952  5.5996 3.872e-08 ***      
                fesisESP.2003   0.142007   0.046848  3.0312 0.0025851 **       
                fesisISR.2006   0.242363   0.067968  3.5658 0.0004042 ***      
                fesisISR.2009  -0.454684   0.084823 -5.3604 1.368e-07 ***      
                fesisISR.2011   0.238040   0.077159  3.0851 0.0021687 **       
                fesisISR.2018  -0.350874   0.076485 -4.5875 5.920e-06 ***      
                fesisSWE.1999  -0.200207   0.058898 -3.3992 0.0007398 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                     Chi-sq df p-value      
                Ljung-Box AR(1)   1.5261617  1  0.2167      
                Ljung-Box ARCH(1) 0.0095442  1  0.9222      
                                                
                SE of regression   0.09036      
                R-squared          0.99655      
                Log-lik.(n=502)  533.98870      

without IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 02:32:39 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            4.2116e-12  1.2354e-13  34.0919 < 2.2e-16 ***      
                pop            3.3560e-05  2.4592e-06  13.6468 < 2.2e-16 ***      
                idAUT          4.6846e+02  6.8934e+01   6.7957 3.328e-11 ***      
                idBEL          2.9312e+02  6.6417e+01   4.4134 1.267e-05 ***      
                idCAN         -1.5146e+02  6.7796e+01  -2.2341 0.0259518 *        
                idCHE          4.7080e+02  6.9668e+01   6.7577 4.227e-11 ***      
                idCHN         -3.9978e+04  2.9353e+03 -13.6199 < 2.2e-16 ***      
                idDEU         -4.5696e+02  1.7101e+02  -2.6721 0.0078046 **       
                idDNK          5.7045e+02  7.2393e+01   7.8799 2.362e-14 ***      
                idESP         -7.8389e+02  8.2996e+01  -9.4449 < 2.2e-16 ***      
                idFIN          4.8773e+02  7.2632e+01   6.7152 5.518e-11 ***      
                idFRA         -7.0389e+02  1.2103e+02  -5.8159 1.125e-08 ***      
                idGBR         -8.7625e+02  1.1697e+02  -7.4915 3.480e-13 ***      
                idISR          4.1215e+02  7.1418e+01   5.7709 1.446e-08 ***      
                idITA         -1.0981e+03  1.1036e+02  -9.9503 < 2.2e-16 ***      
                idJPN         -2.7369e+03  2.9112e+02  -9.4012 < 2.2e-16 ***      
                idKOR         -4.1241e+03  1.7752e+02 -23.2318 < 2.2e-16 ***      
                idNLD          2.6782e+02  6.2328e+01   4.2969 2.112e-05 ***      
                idNOR          4.2973e+02  7.3335e+01   5.8598 8.809e-09 ***      
                idRUS         -4.5283e+03  3.0963e+02 -14.6250 < 2.2e-16 ***      
                idSWE          4.3513e+02  6.7860e+01   6.4122 3.544e-10 ***      
                idUSA         -6.5979e+03  6.3364e+02 -10.4126 < 2.2e-16 ***      
                time1995      -6.8804e+02  8.0196e+01  -8.5795 < 2.2e-16 ***      
                time1996      -6.9126e+02  8.1459e+01  -8.4860 2.914e-16 ***      
                time1997      -6.4961e+02  8.0228e+01  -8.0970 5.024e-15 ***      
                time1998      -6.2569e+02  8.1446e+01  -7.6822 9.404e-14 ***      
                time1999      -6.2213e+02  8.0176e+01  -7.7596 5.494e-14 ***      
                time2000      -5.8410e+02  8.1201e+01  -7.1933 2.562e-12 ***      
                time2001      -6.2804e+02  8.0999e+01  -7.7537 5.722e-14 ***      
                time2002      -6.9856e+02  8.1761e+01  -8.5440 < 2.2e-16 ***      
                time2003      -6.4457e+02  8.0682e+01  -7.9891 1.089e-14 ***      
                time2004      -6.0946e+02  8.1589e+01  -7.4698 4.032e-13 ***      
                time2005      -5.6438e+02  8.2511e+01  -6.8401 2.514e-11 ***      
                time2006      -4.8371e+02  7.9589e+01  -6.0776 2.551e-09 ***      
                time2007      -5.9055e+02  7.9661e+01  -7.4132 5.911e-13 ***      
                time2008      -5.4715e+02  8.0593e+01  -6.7890 3.471e-11 ***      
                time2009      -4.0429e+02  8.1489e+01  -4.9613 9.854e-07 ***      
                time2010      -3.3946e+02  8.2568e+01  -4.1113 4.656e-05 ***      
                time2011      -2.6392e+02  8.3369e+01  -3.1657 0.0016494 **       
                time2012      -3.1808e+02  8.3762e+01  -3.7975 0.0001656 ***      
                time2013      -3.8092e+02  8.4870e+01  -4.4883 9.072e-06 ***      
                time2014      -4.6335e+02  8.5984e+01  -5.3888 1.132e-07 ***      
                time2015      -5.3418e+02  8.7050e+01  -6.1365 1.813e-09 ***      
                time2016      -4.8605e+02  8.8130e+01  -5.5151 5.806e-08 ***      
                time2017      -4.7993e+02  8.4526e+01  -5.6779 2.411e-08 ***      
                time2018      -4.7077e+02  8.5362e+01  -5.5150 5.808e-08 ***      
                time2019      -6.1282e+02  8.6017e+01  -7.1244 4.028e-12 ***      
                fesisCHN.1997 -8.8057e+02  2.2974e+02  -3.8329 0.0001441 ***      
                fesisCHN.1999 -1.0038e+03  2.0640e+02  -4.8635 1.583e-06 ***      
                fesisCHN.2003 -8.1556e+02  1.8358e+02  -4.4425 1.114e-05 ***      
                fesisCHN.2006 -5.6570e+02  1.9038e+02  -2.9714 0.0031183 **       
                fesisCHN.2017  1.3355e+03  1.9543e+02   6.8338 2.615e-11 ***      
                fesisDEU.2007  1.7738e+03  8.9441e+01  19.8315 < 2.2e-16 ***      
                fesisJPN.1999  1.5049e+03  1.6958e+02   8.8744 < 2.2e-16 ***      
                fesisJPN.2002  1.0858e+03  1.5027e+02   7.2256 2.070e-12 ***      
                fesisJPN.2010  2.3351e+03  1.0564e+02  22.1036 < 2.2e-16 ***      
                fesisUSA.2001  1.1038e+03  1.3468e+02   8.1954 2.468e-15 ***      
                fesisUSA.2007  2.2592e+03  1.3923e+02  16.2267 < 2.2e-16 ***      
                fesisUSA.2012  1.2653e+03  1.4202e+02   8.9088 < 2.2e-16 ***      
                fesisUSA.2017 -1.3629e+03  1.6355e+02  -8.3331 9.026e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   66.043  1 4.441e-16 ***      
                Ljung-Box ARCH(1) 57.672  1 3.098e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression   216.35404      
                R-squared            0.98854      
                Log-lik.(n=523)  -3524.23200      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 02:32:38 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            6.0441e-12  2.6495e-13  22.8124 < 2.2e-16 ***      
                pop            5.2038e-05  4.4102e-06  11.7995 < 2.2e-16 ***      
                idAUT          5.5676e+02  8.0596e+01   6.9080 1.690e-11 ***      
                idBEL          3.3683e+02  7.4031e+01   4.5499 6.918e-06 ***      
                idCAN         -5.2350e+02  8.2616e+01  -6.3365 5.723e-10 ***      
                idCHE          5.7035e+02  8.2470e+01   6.9158 1.607e-11 ***      
                idCHN         -6.2123e+04  5.2614e+03 -11.8074 < 2.2e-16 ***      
                idDEU         -1.7354e+03  2.8608e+02  -6.0660 2.788e-09 ***      
                idDNK          7.0795e+02  8.9283e+01   7.9292 1.765e-14 ***      
                idESP         -1.2358e+03  1.2029e+02 -10.2736 < 2.2e-16 ***      
                idFIN          6.3176e+02  8.9881e+01   7.0289 7.785e-12 ***      
                idFRA         -1.6418e+03  2.0044e+02  -8.1906 2.726e-15 ***      
                idGBR         -1.7779e+03  1.9236e+02  -9.2426 < 2.2e-16 ***      
                idISR          5.1527e+02  8.4621e+01   6.0891 2.440e-09 ***      
                idITA         -1.9408e+03  1.7907e+02 -10.8383 < 2.2e-16 ***      
                idJPN         -5.6618e+03  4.9485e+02 -11.4414 < 2.2e-16 ***      
                idKOR         -5.6742e+03  2.4672e+02 -22.9987 < 2.2e-16 ***      
                idNLD          2.0599e+02  6.3073e+01   3.2659 0.0011748 **       
                idNOR          6.6170e+02  9.4517e+01   7.0009 9.323e-12 ***      
                idRUS         -6.9893e+03  5.6007e+02 -12.4793 < 2.2e-16 ***      
                idSWE          4.9916e+02  7.7800e+01   6.4159 3.558e-10 ***      
                idUSA         -1.1431e+04  1.1286e+03 -10.1279 < 2.2e-16 ***      
                time1995      -9.3292e+02  1.0138e+02  -9.2023 < 2.2e-16 ***      
                time1996      -9.5890e+02  1.0449e+02  -9.1769 < 2.2e-16 ***      
                time1997      -9.1335e+02  1.0299e+02  -8.8687 < 2.2e-16 ***      
                time1998      -9.0021e+02  1.0585e+02  -8.5047 2.731e-16 ***      
                time1999      -8.5650e+02  1.0491e+02  -8.1644 3.293e-15 ***      
                time2000      -8.3989e+02  1.0742e+02  -7.8185 3.843e-14 ***      
                time2001      -8.6443e+02  1.0377e+02  -8.3302 9.878e-16 ***      
                time2002      -9.0406e+02  1.0572e+02  -8.5511 < 2.2e-16 ***      
                time2003      -8.6773e+02  1.0527e+02  -8.2432 1.863e-15 ***      
                time2004      -8.5028e+02  1.0742e+02  -7.9154 1.946e-14 ***      
                time2005      -7.9179e+02  1.0707e+02  -7.3952 6.981e-13 ***      
                time2006      -7.5610e+02  1.0924e+02  -6.9212 1.554e-11 ***      
                time2007      -8.4001e+02  1.0600e+02  -7.9244 1.826e-14 ***      
                time2008      -8.1169e+02  1.0826e+02  -7.4975 3.502e-13 ***      
                time2009      -6.2854e+02  1.1190e+02  -5.6169 3.414e-08 ***      
                time2010      -5.8961e+02  1.1435e+02  -5.1560 3.789e-07 ***      
                time2011      -5.0215e+02  1.1268e+02  -4.4566 1.053e-05 ***      
                time2012      -5.6307e+02  1.1329e+02  -4.9703 9.527e-07 ***      
                time2013      -6.1945e+02  1.1132e+02  -5.5648 4.520e-08 ***      
                time2014      -7.1947e+02  1.1379e+02  -6.3227 6.211e-10 ***      
                time2015      -7.8970e+02  1.1627e+02  -6.7922 3.516e-11 ***      
                time2016      -7.5849e+02  1.1862e+02  -6.3945 4.045e-10 ***      
                time2017      -6.9675e+02  1.1491e+02  -6.0633 2.830e-09 ***      
                time2018      -7.0264e+02  1.1679e+02  -6.0164 3.703e-09 ***      
                time2019      -7.8550e+02  1.1888e+02  -6.6075 1.109e-10 ***      
                fesisAUS.2009 -3.4628e+02  7.5649e+01  -4.5774 6.101e-06 ***      
                fesisCHN.1997 -1.3301e+03  2.1303e+02  -6.2439 9.898e-10 ***      
                fesisCHN.1999 -1.1782e+03  2.0678e+02  -5.6979 2.197e-08 ***      
                fesisCHN.2001 -8.7951e+02  2.0218e+02  -4.3501 1.686e-05 ***      
                fesisCHN.2003 -7.7061e+02  1.9658e+02  -3.9200 0.0001023 ***      
                fesisCHN.2005 -6.3561e+02  1.9500e+02  -3.2595 0.0012009 **       
                fesisCHN.2007 -6.1710e+02  1.8268e+02  -3.3780 0.0007937 ***      
                fesisCHN.2011 -5.6087e+02  1.8486e+02  -3.0340 0.0025536 **       
                fesisCHN.2013 -5.2141e+02  1.9518e+02  -2.6714 0.0078275 **       
                fesisCHN.2017  8.5244e+02  1.8194e+02   4.6853 3.712e-06 ***      
                fesisDEU.2007  1.7754e+03  7.5305e+01  23.5761 < 2.2e-16 ***      
                fesisESP.2009 -2.7439e+02  7.6026e+01  -3.6092 0.0003417 ***      
                fesisJPN.1999  1.2953e+03  1.5981e+02   8.1049 5.055e-15 ***      
                fesisJPN.2001  4.6484e+02  2.2572e+02   2.0593 0.0400382 *        
                fesisJPN.2002  7.0478e+02  1.9559e+02   3.6033 0.0003493 ***      
                fesisJPN.2010  2.4421e+03  9.0536e+01  26.9744 < 2.2e-16 ***      
                fesisJPN.2019 -1.4824e+03  1.9446e+02  -7.6231 1.487e-13 ***      
                fesisKOR.1999 -9.1128e+02  1.4691e+02  -6.2031 1.258e-09 ***      
                fesisKOR.2002 -6.6256e+02  1.6224e+02  -4.0838 5.246e-05 ***      
                fesisKOR.2015 -3.6629e+02  1.6996e+02  -2.1552 0.0316775 *        
                fesisKOR.2017 -8.5432e+02  1.7165e+02  -4.9772 9.211e-07 ***      
                fesisNOR.2009 -1.8878e+02  7.5442e+01  -2.5024 0.0126912 *        
                fesisRUS.2009 -2.2177e+02  7.7220e+01  -2.8720 0.0042721 **       
                fesisUSA.2001  7.5635e+02  1.2973e+02   5.8299 1.061e-08 ***      
                fesisUSA.2007  1.9897e+03  1.2800e+02  15.5446 < 2.2e-16 ***      
                fesisUSA.2012  1.0523e+03  1.2625e+02   8.3356 9.494e-16 ***      
                fesisUSA.2017 -1.5664e+03  1.3908e+02 -11.2622 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   36.685  1 1.388e-09 ***      
                Ljung-Box ARCH(1) 58.388  1 2.154e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression   179.60730      
                R-squared            0.99234      
                Log-lik.(n=523)  -3419.87903      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 02:32:36 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.3924e-01  1.4645e-02  57.3054 < 2.2e-16 ***      
                gdp           -5.3043e-15  1.8273e-13  -0.0290 0.9768560          
                pop            5.5455e-06  6.2153e-07   8.9224 < 2.2e-16 ***      
                idAUT          8.2033e+01  2.2953e+01   3.5739 0.0003914 ***      
                idBEL          4.8777e+01  2.2265e+01   2.1907 0.0290045 *        
                idCAN         -1.3937e+01  2.2311e+01  -0.6247 0.5325167          
                idCHE          7.8353e+01  2.3049e+01   3.3995 0.0007379 ***      
                idCHN         -6.7245e+03  7.5648e+02  -8.8892 < 2.2e-16 ***      
                idDEU          1.5127e+01  4.3924e+01   0.3444 0.7307173          
                idDNK          1.0318e+02  2.3684e+01   4.3567 1.651e-05 ***      
                idESP         -1.2846e+02  2.5764e+01  -4.9860 8.943e-07 ***      
                idFIN          8.0403e+01  2.3451e+01   3.4286 0.0006649 ***      
                idFRA         -8.2667e+01  3.1301e+01  -2.6410 0.0085657 **       
                idGBR         -1.2536e+02  3.0986e+01  -4.0458 6.178e-05 ***      
                idISR          6.7744e+01  2.3441e+01   2.8899 0.0040472 **       
                idITA         -1.7218e+02  3.0765e+01  -5.5967 3.888e-08 ***      
                idJPN          9.8612e+01  1.0781e+02   0.9147 0.3608679          
                idKOR         -3.7452e+01  1.5940e+02  -0.2350 0.8143578          
                idNLD          5.0190e+01  2.1772e+01   2.3053 0.0216245 *        
                idNOR          7.1658e+01  2.3417e+01   3.0601 0.0023506 **       
                idRUS         -7.0082e+02  8.1734e+01  -8.5743 < 2.2e-16 ***      
                idSWE          7.7789e+01  2.2770e+01   3.4163 0.0006948 ***      
                idUSA         -8.2721e+02  1.5089e+02  -5.4823 7.153e-08 ***      
                time1996      -1.1483e+02  2.5491e+01  -4.5048 8.561e-06 ***      
                time1997      -1.1977e+02  2.5584e+01  -4.6815 3.818e-06 ***      
                time1998      -1.0898e+02  2.5423e+01  -4.2867 2.238e-05 ***      
                time1999      -1.0473e+02  2.5666e+01  -4.0806 5.350e-05 ***      
                time2000      -7.6297e+01  2.4521e+01  -3.1115 0.0019851 **       
                time2001      -9.6095e+01  2.4591e+01  -3.9078 0.0001081 ***      
                time2002      -1.1581e+02  2.4669e+01  -4.6948 3.590e-06 ***      
                time2003      -1.0348e+02  2.4899e+01  -4.1562 3.903e-05 ***      
                time2004      -7.4552e+01  2.4922e+01  -2.9914 0.0029358 **       
                time2005      -8.9348e+01  2.5035e+01  -3.5690 0.0003986 ***      
                time2006      -8.8832e+01  2.5247e+01  -3.5185 0.0004800 ***      
                time2007      -4.3696e+01  2.5176e+01  -1.7356 0.0833477 .        
                time2008      -5.6989e+01  2.5403e+01  -2.2434 0.0253796 *        
                time2009      -3.4395e+01  2.5614e+01  -1.3428 0.1800409          
                time2010      -1.3226e+01  2.5519e+01  -0.5183 0.6045198          
                time2011      -6.2259e+01  2.5541e+01  -2.4376 0.0151876 *        
                time2012      -8.1000e+01  2.5524e+01  -3.1735 0.0016138 **       
                time2013      -1.4419e+02  2.5684e+01  -5.6142 3.537e-08 ***      
                time2014      -1.0254e+02  2.6056e+01  -3.9354 9.679e-05 ***      
                time2015      -1.0932e+02  2.6385e+01  -4.1434 4.119e-05 ***      
                time2016      -6.4884e+01  2.5862e+01  -2.5088 0.0124786 *        
                time2017      -4.9408e+01  2.5619e+01  -1.9286 0.0544347 .        
                time2018      -4.6686e+01  2.5691e+01  -1.8172 0.0698818 .        
                time2019      -1.2412e+02  2.6043e+01  -4.7657 2.575e-06 ***      
                fesisCHN.2000 -2.1789e+02  6.4218e+01  -3.3930 0.0007552 ***      
                fesisCHN.2016  6.0853e+02  6.0836e+01  10.0028 < 2.2e-16 ***      
                fesisDEU.2006  4.2223e+02  4.4361e+01   9.5181 < 2.2e-16 ***      
                fesisDEU.2012 -2.9139e+02  4.1923e+01  -6.9507 1.348e-11 ***      
                fesisJPN.1999  5.6724e+02  7.0397e+01   8.0577 7.670e-15 ***      
                fesisJPN.2001 -2.1961e+02  6.4894e+01  -3.3841 0.0007793 ***      
                fesisJPN.2008 -4.5524e+02  8.2219e+01  -5.5370 5.351e-08 ***      
                fesisJPN.2009  9.6080e+02  1.0754e+02   8.9344 < 2.2e-16 ***      
                fesisJPN.2010  1.3039e+03  1.0770e+02  12.1075 < 2.2e-16 ***      
                fesisJPN.2011 -6.8207e+02  1.1056e+02  -6.1694 1.578e-09 ***      
                fesisJPN.2012 -9.7045e+02  8.1385e+01 -11.9241 < 2.2e-16 ***      
                fesisJPN.2019 -1.2831e+03  8.1391e+01 -15.7651 < 2.2e-16 ***      
                fesisKOR.2003  2.9151e+02  7.2712e+01   4.0090 7.182e-05 ***      
                fesisKOR.2009  5.3560e+02  6.9500e+01   7.7064 8.961e-14 ***      
                fesisKOR.2015 -5.9708e+02  8.7721e+01  -6.8066 3.353e-11 ***      
                fesisKOR.2016  7.5953e+02  1.0799e+02   7.0334 7.935e-12 ***      
                fesisKOR.2017 -5.1160e+02  8.9573e+01  -5.7115 2.086e-08 ***      
                fesisUSA.2005  6.4801e+02  5.3392e+01  12.1370 < 2.2e-16 ***      
                fesisUSA.2012  5.4345e+02  6.8657e+01   7.9154 2.096e-14 ***      
                fesisUSA.2014 -1.4911e+03  9.4123e+01 -15.8418 < 2.2e-16 ***      
                fesisUSA.2015  7.1735e+02  9.4101e+01   7.6231 1.587e-13 ***      
                fesisUSA.2017 -4.7896e+02  7.6220e+01  -6.2839 8.074e-10 ***      
                fesisUSA.2019 -3.3415e+02  9.3692e+01  -3.5665 0.0004022 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value          
                Ljung-Box AR(1)    2.6923  1   0.1008          
                Ljung-Box ARCH(1) 48.0102  1 4.24e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    74.11352      
                R-squared            0.99873      
                Log-lik.(n=502)  -2838.71730      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 02:32:35 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.2645e-01  1.4212e-02  58.1504 < 2.2e-16 ***      
                gdp           -5.6466e-14  1.7562e-13  -0.3215 0.7479656          
                pop            5.8939e-06  5.9934e-07   9.8340 < 2.2e-16 ***      
                idAUT          8.6844e+01  2.2049e+01   3.9387 9.551e-05 ***      
                idBEL          5.1594e+01  2.1379e+01   2.4133 0.0162248 *        
                idCAN         -1.4961e+01  2.1419e+01  -0.6985 0.4852563          
                idCHE          8.3197e+01  2.2140e+01   3.7577 0.0001951 ***      
                idCHN         -7.1466e+03  7.2944e+02  -9.7973 < 2.2e-16 ***      
                idDEU          1.1928e+01  4.2169e+01   0.2829 0.7774213          
                idDNK          1.0923e+02  2.2757e+01   4.7998 2.193e-06 ***      
                idESP         -1.3671e+02  2.4769e+01  -5.5194 5.885e-08 ***      
                idFIN          8.5256e+01  2.2526e+01   3.7848 0.0001756 ***      
                idFRA         -8.8414e+01  3.0063e+01  -2.9410 0.0034482 **       
                idGBR         -1.3340e+02  2.9775e+01  -4.4803 9.560e-06 ***      
                idISR          7.1829e+01  2.2513e+01   3.1905 0.0015238 **       
                idITA         -1.8323e+02  2.9588e+01  -6.1925 1.382e-09 ***      
                idJPN          1.2032e+02  1.0356e+02   1.1618 0.2459439          
                idKOR         -3.5157e+00  1.5312e+02  -0.0230 0.9816926          
                idNLD          5.3137e+01  2.0906e+01   2.5417 0.0113801 *        
                idNOR          7.5996e+01  2.2491e+01   3.3790 0.0007937 ***      
                idRUS         -7.4152e+02  7.8742e+01  -9.4170 < 2.2e-16 ***      
                idSWE          8.2613e+01  2.1873e+01   3.7770 0.0001810 ***      
                idUSA         -8.8884e+02  1.4520e+02  -6.1217 2.084e-09 ***      
                time1996      -1.2240e+02  2.4502e+01  -4.9955 8.544e-07 ***      
                time1997      -1.2698e+02  2.4588e+01  -5.1644 3.693e-07 ***      
                time1998      -1.1609e+02  2.4433e+01  -4.7513 2.758e-06 ***      
                time1999      -1.1184e+02  2.4666e+01  -4.5340 7.510e-06 ***      
                time2000      -8.1563e+01  2.3555e+01  -3.4626 0.0005885 ***      
                time2001      -8.8532e+01  2.3639e+01  -3.7452 0.0002047 ***      
                time2002      -1.0776e+02  2.3718e+01  -4.5433 7.200e-06 ***      
                time2003      -1.1517e+02  2.3978e+01  -4.8033 2.158e-06 ***      
                time2004      -8.5696e+01  2.3993e+01  -3.5717 0.0003947 ***      
                time2005      -1.0127e+02  2.4111e+01  -4.2003 3.241e-05 ***      
                time2006      -1.0077e+02  2.4314e+01  -4.1447 4.099e-05 ***      
                time2007      -5.4486e+01  2.4232e+01  -2.2485 0.0250498 *        
                time2008      -6.1727e+01  2.4399e+01  -2.5299 0.0117643 *        
                time2009      -3.9902e+01  2.4605e+01  -1.6217 0.1055979          
                time2010      -1.6998e+01  2.4506e+01  -0.6936 0.4882764          
                time2011      -6.4340e+01  2.4521e+01  -2.6238 0.0090038 **       
                time2012      -8.3362e+01  2.4506e+01  -3.4018 0.0007320 ***      
                time2013      -1.4614e+02  2.4658e+01  -5.9268 6.333e-09 ***      
                time2014      -1.0550e+02  2.5018e+01  -4.2168 3.021e-05 ***      
                time2015      -1.1356e+02  2.5339e+01  -4.4817 9.503e-06 ***      
                time2016      -7.0261e+01  2.4843e+01  -2.8282 0.0048989 **       
                time2017      -5.3941e+01  2.4604e+01  -2.1923 0.0288912 *        
                time2018      -5.0730e+01  2.4672e+01  -2.0562 0.0403664 *        
                time2019      -1.2720e+02  2.5006e+01  -5.0869 5.441e-07 ***      
                fesisCHN.2000 -2.3789e+02  6.1734e+01  -3.8534 0.0001342 ***      
                fesisCHN.2016  6.2193e+02  5.8442e+01  10.6417 < 2.2e-16 ***      
                fesisDEU.2006  4.4320e+02  4.2722e+01  10.3741 < 2.2e-16 ***      
                fesisDEU.2012 -2.8661e+02  4.0253e+01  -7.1203 4.539e-12 ***      
                fesisJPN.1999  5.7738e+02  6.7600e+01   8.5411 2.310e-16 ***      
                fesisJPN.2001 -4.6965e+02  7.4406e+01  -6.3120 6.852e-10 ***      
                fesisJPN.2003  3.8085e+02  6.1971e+01   6.1457 1.814e-09 ***      
                fesisJPN.2008 -5.5160e+02  8.0470e+01  -6.8547 2.483e-11 ***      
                fesisJPN.2009  9.5548e+02  1.0324e+02   9.2550 < 2.2e-16 ***      
                fesisJPN.2010  1.3119e+03  1.0339e+02  12.6888 < 2.2e-16 ***      
                fesisJPN.2011 -6.5939e+02  1.0620e+02  -6.2091 1.254e-09 ***      
                fesisJPN.2012 -9.6742e+02  7.8130e+01 -12.3822 < 2.2e-16 ***      
                fesisJPN.2019 -1.2837e+03  7.8134e+01 -16.4298 < 2.2e-16 ***      
                fesisKOR.2003  3.2811e+02  7.0056e+01   4.6836 3.784e-06 ***      
                fesisKOR.2009  5.7108e+02  6.6968e+01   8.5277 2.552e-16 ***      
                fesisKOR.2015 -5.7329e+02  8.4299e+01  -6.8006 3.489e-11 ***      
                fesisKOR.2016  7.5826e+02  1.0367e+02   7.3144 1.271e-12 ***      
                fesisKOR.2017 -5.0417e+02  8.5997e+01  -5.8627 9.070e-09 ***      
                fesisUSA.2005  6.8217e+02  5.1555e+01  13.2318 < 2.2e-16 ***      
                fesisUSA.2012  5.6739e+02  6.6024e+01   8.5937 < 2.2e-16 ***      
                fesisUSA.2014 -1.4791e+03  9.0377e+01 -16.3659 < 2.2e-16 ***      
                fesisUSA.2015  7.0577e+02  9.0355e+01   7.8111 4.362e-14 ***      
                fesisUSA.2017 -4.8323e+02  7.3173e+01  -6.6039 1.181e-10 ***      
                fesisUSA.2019 -3.4364e+02  8.9956e+01  -3.8201 0.0001530 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.6558  1    0.1032          
                Ljung-Box ARCH(1) 45.2245  1 1.757e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    71.14749      
                R-squared            0.99883      
                Log-lik.(n=502)  -2817.71416      

Count Ma

0

0.01

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 02:33:20 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                gdp_ma          0.51704   0.25708  2.0112 0.0448940 *        
                pop_ma          2.18213   1.09245  1.9975 0.0463686 *        
                idAUT           4.50823   1.90814  2.3626 0.0185650 *        
                idBEL           6.09754   1.87067  3.2595 0.0011994 **       
                idCAN           4.01214   1.60367  2.5018 0.0127042 *        
                idCHE          -2.07738   2.12498 -0.9776 0.3287909          
                idCHN          26.00587   4.43256  5.8670 8.539e-09 ***      
                idDEU           5.47493   2.18887  2.5013 0.0127250 *        
                idDNK          10.40632   2.30828  4.5083 8.321e-06 ***      
                idESP           6.26814   2.24703  2.7895 0.0054997 **       
                idFIN          -6.55150   3.55594 -1.8424 0.0660639 .        
                idFRA           5.65313   1.88733  2.9953 0.0028911 **       
                idGBR           4.31851   1.82721  2.3634 0.0185246 *        
                idISR           3.66585   2.45951  1.4905 0.1367892          
                idITA           6.23598   2.15919  2.8881 0.0040600 **       
                idJPN           5.21221   2.25676  2.3096 0.0213562 *        
                idKOR          25.42860   3.47594  7.3156 1.163e-12 ***      
                idNLD           5.64592   1.87803  3.0063 0.0027904 **       
                idNOR          18.40481   2.83089  6.5014 2.092e-10 ***      
                idRUS          16.80069   3.85790  4.3549 1.646e-05 ***      
                idSWE           3.05124   1.77082  1.7231 0.0855551 .        
                idUSA           3.78788   1.65026  2.2953 0.0221680 *        
                time1995        0.32265   2.46942  0.1307 0.8961025          
                time1996        1.58890   2.46404  0.6448 0.5193582          
                time1997        6.59683   2.43441  2.7098 0.0069854 **       
                time1998        4.00036   2.49031  1.6064 0.1088848          
                time1999        4.70176   2.52993  1.8585 0.0637488 .        
                time2000        3.41728   2.51850  1.3569 0.1754933          
                time2001        0.58941   2.45754  0.2398 0.8105636          
                time2002       -2.02265   2.36627 -0.8548 0.3931176          
                time2003       -1.06450   2.41190 -0.4414 0.6591662          
                time2004        2.85436   2.42034  1.1793 0.2388854          
                time2005        3.96535   2.51850  1.5745 0.1160679          
                time2006        5.53773   2.57570  2.1500 0.0320813 *        
                time2007        4.72766   2.60349  1.8159 0.0700435 .        
                time2008        5.85082   2.41001  2.4277 0.0155803 *        
                time2009        4.96551   2.37409  2.0915 0.0370318 *        
                time2010        4.12275   2.32820  1.7708 0.0772647 .        
                time2011       -0.36972   2.40452 -0.1538 0.8778656          
                time2012       -7.09543   2.35221 -3.0165 0.0027002 **       
                time2013       -9.60128   2.36810 -4.0544 5.910e-05 ***      
                time2014      -11.40190   2.39659 -4.7575 2.634e-06 ***      
                time2015       -7.25409   2.42394 -2.9927 0.0029154 **       
                time2016       -6.78202   2.44507 -2.7737 0.0057688 **       
                time2017       -4.43501   2.43038 -1.8248 0.0686812 .        
                time2018       -7.97593   2.37718 -3.3552 0.0008593 ***      
                time2019       -5.69130   2.18937 -2.5995 0.0096383 **       
                fesisCHE.2008   6.59974   2.30510  2.8631 0.0043885 **       
                fesisCHN.1997 -17.55356   5.13067 -3.4213 0.0006793 ***      
                fesisCHN.2000  23.81359   3.98255  5.9795 4.524e-09 ***      
                fesisCHN.2006 -14.43068   2.73840 -5.2697 2.112e-07 ***      
                fesisDNK.2006  28.39894   3.63971  7.8025 4.179e-14 ***      
                fesisDNK.2009 -33.04792   3.64884 -9.0571 < 2.2e-16 ***      
                fesisESP.2004  22.13585   3.86028  5.7343 1.785e-08 ***      
                fesisESP.2007 -23.74181   3.89672 -6.0928 2.362e-09 ***      
                fesisFIN.1998  11.72240   3.47523  3.3731 0.0008066 ***      
                fesisISR.2005  21.17993   3.84050  5.5149 5.856e-08 ***      
                fesisISR.2008 -25.37593   3.60406 -7.0409 7.064e-12 ***      
                fesisKOR.1998 -18.08861   4.26698 -4.2392 2.717e-05 ***      
                fesisKOR.2002  25.28295   4.26260  5.9313 5.944e-09 ***      
                fesisKOR.2005 -22.92134   3.53287 -6.4880 2.270e-10 ***      
                fesisNOR.2000 -26.41080   4.67447 -5.6500 2.829e-08 ***      
                fesisNOR.2002  17.80011   4.40296  4.0428 6.201e-05 ***      
                fesisNOR.2010 -14.90345   3.03441 -4.9115 1.262e-06 ***      
                fesisNOR.2016  24.19380   3.61239  6.6974 6.259e-11 ***      
                fesisRUS.1999  24.51682   6.39421  3.8342 0.0001437 ***      
                fesisRUS.2000 -36.09994   5.72098 -6.3101 6.610e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   27.796  1 1.348e-07 ***      
                Ljung-Box ARCH(1) 28.702  1 8.442e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     5.42107      
                R-squared            0.78352      
                Log-lik.(n=523)  -1592.62853      
0.05

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 02:33:18 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                gdp_ma          0.31588   0.25128  1.2571 0.2093906          
                pop_ma          1.30553   1.03479  1.2616 0.2077521          
                idAUT          11.64929   3.63148  3.2079 0.0014358 **       
                idBEL          13.29872   3.61790  3.6758 0.0002666 ***      
                idCAN          17.29317   3.72497  4.6425 4.562e-06 ***      
                idCHE           5.11997   3.70696  1.3812 0.1679318          
                idCHN          34.74503   4.95923  7.0061 9.344e-12 ***      
                idDEU          12.20913   3.74535  3.2598 0.0012022 **       
                idDNK           9.92555   4.70640  2.1089 0.0355188 *        
                idESP          14.35228   3.74645  3.8309 0.0001464 ***      
                idFIN           1.20398   4.35361  0.2765 0.7822578          
                idFRA          12.80059   3.62441  3.5318 0.0004568 ***      
                idGBR          11.59812   3.60265  3.2193 0.0013809 **       
                idISR          13.19826   3.97432  3.3209 0.0009728 ***      
                idITA          12.92260   3.73447  3.4604 0.0005926 ***      
                idJPN          13.94468   3.88032  3.5937 0.0003632 ***      
                idKOR          34.11607   4.33232  7.8748 2.738e-14 ***      
                idNLD          12.85918   3.62035  3.5519 0.0004241 ***      
                idNOR          26.44631   3.98914  6.6296 9.972e-11 ***      
                idRUS          31.06288   6.49649  4.7815 2.384e-06 ***      
                idSWE           7.77925   3.72278  2.0896 0.0372297 *        
                idUSA          11.45215   3.54859  3.2272 0.0013442 **       
                time1995       -5.90448   3.72399 -1.5855 0.1135717          
                time1996       -3.48221   3.70696 -0.9394 0.3480613          
                time1997       -1.69769   3.87371 -0.4383 0.6614153          
                time1998       -3.21269   3.90863 -0.8219 0.4115555          
                time1999       -2.18361   3.93633 -0.5547 0.5793624          
                time2000       -3.75595   3.93443 -0.9546 0.3402896          
                time2001       -6.69054   3.90067 -1.7152 0.0870138 .        
                time2002       -8.23615   3.85466 -2.1367 0.0331808 *        
                time2003       -7.18524   3.87775 -1.8529 0.0645662 .        
                time2004       -2.91114   3.88547 -0.7492 0.4541186          
                time2005       -2.14789   3.94593 -0.5443 0.5864916          
                time2006        0.52290   3.98252  0.1313 0.8955987          
                time2007        0.79125   3.99276  0.1982 0.8430028          
                time2008        0.64210   3.88004  0.1655 0.8686366          
                time2009       -1.74848   3.84736 -0.4545 0.6497220          
                time2010       -2.65067   3.82581 -0.6928 0.4887788          
                time2011       -6.90364   3.86305 -1.7871 0.0746166 .        
                time2012      -14.16717   3.83728 -3.6920 0.0002507 ***      
                time2013      -16.67381   3.84425 -4.3373 1.793e-05 ***      
                time2014      -18.40902   3.85777 -4.7719 2.494e-06 ***      
                time2015      -13.78513   3.87630 -3.5563 0.0004174 ***      
                time2016      -13.24481   3.88742 -3.4071 0.0007175 ***      
                time2017      -10.57390   3.88248 -2.7235 0.0067190 **       
                time2018      -14.18813   3.85753 -3.6780 0.0002644 ***      
                time2019      -12.40705   3.77174 -3.2895 0.0010851 **       
                fesisAUS.1997  14.85267   3.85889  3.8489 0.0001364 ***      
                fesisAUS.2004 -12.73796   2.52559 -5.0436 6.716e-07 ***      
                fesisAUS.2012   8.60455   2.40350  3.5800 0.0003822 ***      
                fesisCAN.2004 -13.68981   2.70518 -5.0606 6.174e-07 ***      
                fesisCAN.2009   7.40917   2.62413  2.8235 0.0049682 **       
                fesisCHE.2008   7.18582   2.02921  3.5412 0.0004412 ***      
                fesisCHN.1997 -16.30418   4.43436 -3.6768 0.0002657 ***      
                fesisCHN.2000  22.79011   3.44357  6.6182 1.070e-10 ***      
                fesisCHN.2006 -14.93309   2.37074 -6.2989 7.332e-10 ***      
                fesisDNK.1997  20.09500   4.80207  4.1847 3.456e-05 ***      
                fesisDNK.1999 -13.49647   3.84833 -3.5071 0.0005000 ***      
                fesisDNK.2006  37.04301   5.11970  7.2354 2.106e-12 ***      
                fesisDNK.2007 -14.24757   5.85738 -2.4324 0.0154000 *        
                fesisDNK.2009 -26.20867   3.72102 -7.0434 7.352e-12 ***      
                fesisESP.2004  21.92664   3.35927  6.5272 1.865e-10 ***      
                fesisESP.2007 -24.77490   3.39580 -7.2957 1.414e-12 ***      
                fesisFIN.1998  11.00698   3.00760  3.6597 0.0002834 ***      
                fesisISR.2005  19.24240   3.32867  5.7808 1.418e-08 ***      
                fesisISR.2008 -22.23306   3.22228 -6.8998 1.842e-11 ***      
                fesisISR.2017  -6.97737   3.18909 -2.1879 0.0292081 *        
                fesisJPN.2005 -10.90533   2.86894 -3.8012 0.0001645 ***      
                fesisJPN.2009  10.00275   2.83928  3.5230 0.0004718 ***      
                fesisKOR.1998 -17.71232   3.67938 -4.8139 2.044e-06 ***      
                fesisKOR.2002  20.86400   3.41000  6.1185 2.105e-09 ***      
                fesisKOR.2006 -30.04506   4.15250 -7.2354 2.105e-12 ***      
                fesisKOR.2008  14.13267   3.85501  3.6661 0.0002767 ***      
                fesisKOR.2015  -8.71721   2.82040 -3.0908 0.0021243 **       
                fesisNOR.2000 -26.23101   4.02677 -6.5142 2.019e-10 ***      
                fesisNOR.2002  16.30949   3.79595  4.2965 2.141e-05 ***      
                fesisNOR.2010 -13.46940   2.63684 -5.1082 4.873e-07 ***      
                fesisNOR.2016  23.33080   3.11444  7.4912 3.829e-13 ***      
                fesisRUS.1996 -23.09794   6.86210 -3.3660 0.0008302 ***      
                fesisRUS.1997  28.73048   6.76892  4.2445 2.679e-05 ***      
                fesisRUS.1998 -21.04574   6.79789 -3.0959 0.0020885 **       
                fesisRUS.1999  33.03630   6.78415  4.8696 1.567e-06 ***      
                fesisRUS.2000 -29.16772   5.93252 -4.9166 1.249e-06 ***      
                fesisRUS.2002 -20.28564   4.78110 -4.2429 2.697e-05 ***      
                fesisRUS.2004  20.61630   4.37227  4.7152 3.254e-06 ***      
                fesisRUS.2007  -8.60171   3.24119 -2.6539 0.0082483 **       
                fesisSWE.2009   6.17744   2.06798  2.9872 0.0029745 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   12.348  1 0.0004414 ***      
                Ljung-Box ARCH(1) 17.059  1 3.624e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     4.65827      
                R-squared            0.84717      
                Log-lik.(n=523)  -1503.31619      

1

0.01

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 02:33:18 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1             0.37018   0.03666 10.0975 < 2.2e-16 ***      
                gdp_ma          0.55617   0.25620  2.1709 0.0304820 *        
                pop_ma          2.51704   1.04675  2.4046 0.0166069 *        
                idAUT           3.87695   1.87363  2.0692 0.0391176 *        
                idBEL           4.78325   1.84542  2.5920 0.0098649 **       
                idCAN           1.12044   3.97550  0.2818 0.7782029          
                idCHE           1.30586   1.67410  0.7800 0.4357949          
                idCHN          12.02321   2.34992  5.1164 4.684e-07 ***      
                idDEU           5.02703   2.15523  2.3325 0.0201317 *        
                idDNK           8.32012   2.34263  3.5516 0.0004248 ***      
                idESP           4.40966   2.26341  1.9482 0.0520307 .        
                idFIN           3.69845   1.93248  1.9138 0.0562988 .        
                idFRA           4.55940   1.86098  2.4500 0.0146797 *        
                idGBR           3.63084   1.79506  2.0227 0.0437191 *        
                idISR          -0.38985   2.84364 -0.1371 0.8910185          
                idITA           5.61234   2.12765  2.6378 0.0086440 **       
                idJPN           4.72095   2.22578  2.1210 0.0344856 *        
                idKOR           7.78562   2.58776  3.0086 0.0027770 **       
                idNLD           4.00838   1.85719  2.1583 0.0314517 *        
                idNOR           2.03805   5.59980  0.3640 0.7160721          
                idRUS          -4.30817   6.01471 -0.7163 0.4742078          
                idSWE           2.42619   1.73922  1.3950 0.1637327          
                idUSA           2.71249   1.63777  1.6562 0.0984032 .        
                time1996        0.96269   2.44049  0.3945 0.6934316          
                time1997        1.82061   2.39541  0.7600 0.4476442          
                time1998       -1.08406   2.41511 -0.4489 0.6537511          
                time1999        0.77336   2.44794  0.3159 0.7522142          
                time2000       -1.38067   2.42838 -0.5686 0.5699522          
                time2001       -3.03539   2.36190 -1.2851 0.1994256          
                time2002       -3.13561   2.28558 -1.3719 0.1708003          
                time2003       -2.80568   2.36660 -1.1855 0.2364548          
                time2004        2.08520   2.37619  0.8775 0.3806798          
                time2005        1.05149   2.44344  0.4303 0.6671660          
                time2006        1.03988   2.50047  0.4159 0.6777084          
                time2007        0.11233   2.52475  0.0445 0.9645320          
                time2008        2.19118   2.34340  0.9350 0.3502853          
                time2009        1.45860   2.29488  0.6356 0.5253794          
                time2010        0.87858   2.25739  0.3892 0.6973182          
                time2011       -3.09045   2.33557 -1.3232 0.1864634          
                time2012       -8.35775   2.28171 -3.6629 0.0002802 ***      
                time2013       -8.25783   2.31840 -3.5619 0.0004090 ***      
                time2014       -9.94483   2.38000 -4.1785 3.550e-05 ***      
                time2015       -5.20530   2.42108 -2.1500 0.0321078 *        
                time2016       -5.17662   2.39870 -2.1581 0.0314680 *        
                time2017       -3.45042   2.37680 -1.4517 0.1473045          
                time2018       -7.82929   2.31553 -3.3812 0.0007870 ***      
                time2019       -4.05743   2.13343 -1.9018 0.0578551 .        
                fesisCAN.1998  19.33285   6.58948  2.9339 0.0035248 **       
                fesisCAN.1999 -18.49196   5.50466 -3.3593 0.0008503 ***      
                fesisDNK.2006  36.24872   5.62619  6.4429 3.120e-10 ***      
                fesisDNK.2007 -23.93655   6.63807 -3.6060 0.0003471 ***      
                fesisDNK.2009 -17.15115   4.31592 -3.9739 8.278e-05 ***      
                fesisESP.2004  14.47653   3.81871  3.7909 0.0001713 ***      
                fesisESP.2007 -15.78290   3.79608 -4.1577 3.875e-05 ***      
                fesisISR.2003  20.78957   5.92590  3.5083 0.0004981 ***      
                fesisISR.2004 -22.32382   7.64715 -2.9192 0.0036916 **       
                fesisISR.2005  19.86664   6.19446  3.2072 0.0014397 **       
                fesisISR.2008 -20.97114   3.50685 -5.9800 4.665e-09 ***      
                fesisKOR.2002  15.16392   3.83355  3.9556 8.915e-05 ***      
                fesisKOR.2005 -17.16964   3.44387 -4.9856 8.947e-07 ***      
                fesisNOR.1997  27.74717   7.60634  3.6479 0.0002965 ***      
                fesisNOR.1998 -24.19477   5.63408 -4.2944 2.163e-05 ***      
                fesisNOR.2009 -12.15145   2.99168 -4.0617 5.780e-05 ***      
                fesisNOR.2014  16.83139   3.30050  5.0996 5.094e-07 ***      
                fesisRUS.1997  36.93803   7.63698  4.8367 1.836e-06 ***      
                fesisRUS.1998 -31.63122   7.68882 -4.1139 4.655e-05 ***      
                fesisRUS.1999  39.60394   7.64485  5.1805 3.396e-07 ***      
                fesisRUS.2000 -36.88168   5.50975 -6.6939 6.736e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value         
                Ljung-Box AR(1)   3.5574  1 0.059279 .       
                Ljung-Box ARCH(1) 8.4608  1 0.003629 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     5.22646      
                R-squared            0.80197      
                Log-lik.(n=502)  -1508.48202      
0.05

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 02:33:16 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.391965   0.034757 11.2773 < 2.2e-16 ***      
                gdp_ma          0.655518   0.247248  2.6513 0.0083197 **       
                pop_ma          2.420082   0.997242  2.4268 0.0156496 *        
                idAUT           3.882305   1.738285  2.2334 0.0260428 *        
                idBEL           4.744414   1.711989  2.7713 0.0058292 **       
                idCAN           0.949913   3.670606  0.2588 0.7959236          
                idCHE           1.387373   1.547370  0.8966 0.3704410          
                idCHN          17.258183   5.345949  3.2283 0.0013422 **       
                idDEU           5.028971   2.006010  2.5070 0.0125509 *        
                idDNK          -3.570412   5.140240 -0.6946 0.4876863          
                idESP           3.962495   2.094001  1.8923 0.0591309 .        
                idFIN           3.659620   1.797730  2.0357 0.0424027 *        
                idFRA           4.566307   1.725216  2.6468 0.0084282 **       
                idGBR           3.628770   1.663694  2.1812 0.0297209 *        
                idISR          -0.740409   2.640628 -0.2804 0.7793141          
                idITA           5.700247   1.974529  2.8869 0.0040897 **       
                idJPN           4.786734   2.069196  2.3133 0.0211821 *        
                idKOR           6.897472   2.409771  2.8623 0.0044143 **       
                idNLD           3.963675   1.724206  2.2988 0.0219995 *        
                idNOR           1.106650   5.185250  0.2134 0.8310999          
                idRUS          -4.564895   5.554758 -0.8218 0.4116532          
                idSWE           2.385532   1.613149  1.4788 0.1399350          
                idUSA           2.671342   1.514746  1.7636 0.0785265 .        
                time1996        0.924641   2.268731  0.4076 0.6838033          
                time1997        1.319295   2.224626  0.5930 0.5534698          
                time1998       -1.734673   2.251131 -0.7706 0.4413860          
                time1999        0.806871   2.284678  0.3532 0.7241393          
                time2000       -1.076564   2.291773 -0.4698 0.6387739          
                time2001       -3.113916   2.195651 -1.4182 0.1568612          
                time2002       -3.047359   2.130535 -1.4303 0.1533601          
                time2003       -2.759750   2.204308 -1.2520 0.2112673          
                time2004        1.676928   2.211713  0.7582 0.4487505          
                time2005        0.435006   2.276177  0.1911 0.8485290          
                time2006        0.286445   2.326565  0.1231 0.9020709          
                time2007       -0.620400   2.349488 -0.2641 0.7918638          
                time2008        2.082595   2.186506  0.9525 0.3413980          
                time2009        1.439374   2.140811  0.6723 0.5017272          
                time2010        0.877093   2.104182  0.4168 0.6770112          
                time2011       -3.830570   2.175290 -1.7609 0.0789683 .        
                time2012       -8.947714   2.127089 -4.2066 3.166e-05 ***      
                time2013       -8.674079   2.164715 -4.0070 7.262e-05 ***      
                time2014      -10.320409   2.222262 -4.6441 4.563e-06 ***      
                time2015       -5.572264   2.259819 -2.4658 0.0140657 *        
                time2016       -5.660718   2.236393 -2.5312 0.0117284 *        
                time2017       -3.501079   2.213726 -1.5815 0.1145020          
                time2018       -7.925022   2.156036 -3.6757 0.0002676 ***      
                time2019       -3.856413   1.998005 -1.9301 0.0542571 .        
                fesisCAN.1998  19.637353   6.082453  3.2285 0.0013410 **       
                fesisCAN.1999 -18.651094   5.084832 -3.6680 0.0002756 ***      
                fesisCHN.1997 -15.778640   5.762085 -2.7384 0.0064348 **       
                fesisCHN.2000  22.822553   5.731958  3.9816 8.053e-05 ***      
                fesisCHN.2001 -12.985530   5.160645 -2.5163 0.0122290 *        
                fesisDNK.1997  23.204944   6.085912  3.8129 0.0001577 ***      
                fesisDNK.1999 -13.296595   3.987025 -3.3350 0.0009281 ***      
                fesisDNK.2006  38.340711   5.286507  7.2526 1.957e-12 ***      
                fesisDNK.2007 -24.614818   6.124517 -4.0191 6.914e-05 ***      
                fesisDNK.2009 -16.514390   3.985151 -4.1440 4.122e-05 ***      
                fesisESP.2004  14.654246   3.525784  4.1563 3.915e-05 ***      
                fesisESP.2007 -15.357793   3.508354 -4.3775 1.514e-05 ***      
                fesisISR.2003  21.195133   5.469875  3.8749 0.0001236 ***      
                fesisISR.2004 -22.604726   7.055357 -3.2039 0.0014581 **       
                fesisISR.2005  19.872983   5.712698  3.4787 0.0005559 ***      
                fesisISR.2008 -28.285168   4.061588 -6.9641 1.266e-11 ***      
                fesisISR.2011  13.353623   3.504394  3.8105 0.0001592 ***      
                fesisISR.2017 -10.138189   3.494749 -2.9010 0.0039137 **       
                fesisKOR.2002  15.082013   3.547682  4.2512 2.617e-05 ***      
                fesisKOR.2005 -16.432292   3.184162 -5.1606 3.789e-07 ***      
                fesisNOR.1997  28.450422   7.031811  4.0460 6.193e-05 ***      
                fesisNOR.1998 -22.819958   6.102684 -3.7393 0.0002098 ***      
                fesisNOR.2000 -22.906725   6.069067 -3.7743 0.0001833 ***      
                fesisNOR.2001  23.830820   5.258796  4.5316 7.623e-06 ***      
                fesisNOR.2009 -13.860374   2.891374 -4.7937 2.270e-06 ***      
                fesisNOR.2014  16.548635   3.048654  5.4282 9.600e-08 ***      
                fesisRUS.1997  37.854590   7.061732  5.3605 1.366e-07 ***      
                fesisRUS.1998 -32.484303   7.107013 -4.5707 6.384e-06 ***      
                fesisRUS.1999  39.096549   7.053911  5.5425 5.248e-08 ***      
                fesisRUS.2000 -43.136966   5.623917 -7.6703 1.187e-13 ***      
                fesisRUS.2004   8.349141   2.890689  2.8883 0.0040719 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   1.3042  1  0.2535        
                Ljung-Box ARCH(1) 4.9759  1  0.0257 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     4.81935      
                R-squared            0.83550      
                Log-lik.(n=502)  -1462.77202      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 02:32:39 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.488747   0.105313  14.1365 < 2.2e-16 ***      
                lpop           -0.164404   0.269662  -0.6097 0.5423812          
                idAUT           1.975918   0.228121   8.6617 < 2.2e-16 ***      
                idBEL           1.143115   0.173970   6.5708 1.355e-10 ***      
                idCAN           0.354578   0.133695   2.6521 0.0082741 **       
                idCHE           1.430429   0.253280   5.6476 2.849e-08 ***      
                idCHN          -3.899709   1.046000  -3.7282 0.0002168 ***      
                idDEU           1.628010   0.358116   4.5460 6.994e-06 ***      
                idDNK          -1.327564   0.367415  -3.6133 0.0003356 ***      
                idESP          -0.276509   0.226752  -1.2194 0.2233038          
                idFIN           2.099568   0.334129   6.2837 7.664e-10 ***      
                idFRA           0.922807   0.299925   3.0768 0.0022169 **       
                idGBR           0.889757   0.297528   2.9905 0.0029343 **       
                idISR          -0.096762   0.272721  -0.3548 0.7229010          
                idITA           0.043468   0.285773   0.1521 0.8791706          
                idJPN          -5.231825   0.617795  -8.4685 3.351e-16 ***      
                idKOR          -8.809211   0.634086 -13.8928 < 2.2e-16 ***      
                idNLD           1.302966   0.088647  14.6983 < 2.2e-16 ***      
                idNOR          -2.552163   0.424944  -6.0059 3.863e-09 ***      
                idRUS          -6.103187   0.529156 -11.5338 < 2.2e-16 ***      
                idSWE          -1.204644   0.268125  -4.4929 8.896e-06 ***      
                idUSA          -0.123388   0.666472  -0.1851 0.8532031          
                time1995      -34.081553   4.243006  -8.0324 8.057e-15 ***      
                time1996      -33.955095   4.244719  -7.9994 1.020e-14 ***      
                time1997      -33.969599   4.244968  -8.0023 9.988e-15 ***      
                time1998      -33.851083   4.246715  -7.9711 1.247e-14 ***      
                time1999      -33.796742   4.248920  -7.9542 1.407e-14 ***      
                time2000      -33.744712   4.251391  -7.9373 1.586e-14 ***      
                time2001      -33.684926   4.252800  -7.9206 1.785e-14 ***      
                time2002      -33.702110   4.254633  -7.9213 1.777e-14 ***      
                time2003      -33.623779   4.256143  -7.9001 2.064e-14 ***      
                time2004      -33.609015   4.257648  -7.8938 2.158e-14 ***      
                time2005      -33.539416   4.259241  -7.8745 2.472e-14 ***      
                time2006      -33.459906   4.261592  -7.8515 2.907e-14 ***      
                time2007      -33.375975   4.265398  -7.8248 3.506e-14 ***      
                time2008      -33.296260   4.267431  -7.8024 4.103e-14 ***      
                time2009      -33.108047   4.266912  -7.7593 5.547e-14 ***      
                time2010      -33.038874   4.269180  -7.7389 6.390e-14 ***      
                time2011      -33.013906   4.271060  -7.7297 6.815e-14 ***      
                time2012      -33.021735   4.272736  -7.7285 6.872e-14 ***      
                time2013      -33.117748   4.272676  -7.7511 5.873e-14 ***      
                time2014      -33.157815   4.274664  -7.7568 5.641e-14 ***      
                time2015      -33.230081   4.276624  -7.7702 5.140e-14 ***      
                time2016      -33.244913   4.278044  -7.7711 5.108e-14 ***      
                time2017      -33.246549   4.280084  -7.7677 5.228e-14 ***      
                time2018      -33.252240   4.281925  -7.7657 5.302e-14 ***      
                time2019      -33.347986   4.283523  -7.7852 4.628e-14 ***      
                fesisAUS.2009  -0.668645   0.060752 -11.0061 < 2.2e-16 ***      
                fesisCHE.1999  -0.305132   0.093708  -3.2562 0.0012124 **       
                fesisCHE.2003  -0.282453   0.074232  -3.8050 0.0001609 ***      
                fesisCHN.2001   0.396403   0.096827   4.0939 5.008e-05 ***      
                fesisCHN.2004   0.485101   0.108534   4.4696 9.877e-06 ***      
                fesisCHN.2016   0.505611   0.093182   5.4261 9.324e-08 ***      
                fesisDNK.2007   0.772996   0.054170  14.2697 < 2.2e-16 ***      
                fesisESP.2005   0.588400   0.055966  10.5135 < 2.2e-16 ***      
                fesisISR.2013  -0.289693   0.071658  -4.0427 6.191e-05 ***      
                fesisITA.2007   0.318829   0.056765   5.6167 3.370e-08 ***      
                fesisKOR.1997   0.278092   0.106589   2.6090 0.0093758 **       
                fesisKOR.2004   0.733848   0.068442  10.7222 < 2.2e-16 ***      
                fesisRUS.2004  -0.275382   0.093937  -2.9316 0.0035403 **       
                fesisRUS.2007  -0.379618   0.087043  -4.3613 1.597e-05 ***      
                fesisSWE.2001  -0.485885   0.062982  -7.7147 7.562e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   67.162  1 2.220e-16 ***      
                Ljung-Box ARCH(1) 51.883  1 5.892e-13 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.12903      
                R-squared          0.99279      
                Log-lik.(n=523)  359.84148      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 02:32:39 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.539335   0.093849  16.4023 < 2.2e-16 ***      
                lpop           -0.185701   0.268118  -0.6926 0.4889083          
                idAUT           2.122044   0.224173   9.4661 < 2.2e-16 ***      
                idBEL           1.101017   0.167523   6.5723 1.362e-10 ***      
                idCAN           0.259119   0.137671   1.8822 0.0604533 .        
                idCHE           1.468333   0.252348   5.8187 1.122e-08 ***      
                idCHN          -4.002838   1.056241  -3.7897 0.0001712 ***      
                idDEU           1.527503   0.363805   4.1987 3.232e-05 ***      
                idDNK          -1.454193   0.359584  -4.0441 6.171e-05 ***      
                idESP          -0.318469   0.224296  -1.4199 0.1563343          
                idFIN           2.447589   0.336176   7.2807 1.476e-12 ***      
                idFRA           0.832841   0.304260   2.7373 0.0064385 **       
                idGBR           0.807869   0.300801   2.6857 0.0075025 **       
                idISR          -0.251968   0.280681  -0.8977 0.3698195          
                idITA          -0.029740   0.288561  -0.1031 0.9179580          
                idJPN          -5.587115   0.591024  -9.4533 < 2.2e-16 ***      
                idKOR          -9.161994   0.573226 -15.9832 < 2.2e-16 ***      
                idNLD           1.242876   0.081081  15.3288 < 2.2e-16 ***      
                idNOR          -2.638049   0.417810  -6.3140 6.483e-10 ***      
                idRUS          -6.283729   0.530102 -11.8538 < 2.2e-16 ***      
                idSWE          -1.330780   0.254802  -5.2228 2.690e-07 ***      
                idUSA          -0.284000   0.676578  -0.4198 0.6748599          
                time1995      -35.082670   4.236014  -8.2820 1.370e-15 ***      
                time1996      -34.957471   4.237602  -8.2494 1.738e-15 ***      
                time1997      -34.946725   4.238345  -8.2454 1.790e-15 ***      
                time1998      -34.811426   4.240022  -8.2102 2.310e-15 ***      
                time1999      -34.773503   4.241981  -8.1975 2.534e-15 ***      
                time2000      -34.723809   4.244193  -8.1815 2.844e-15 ***      
                time2001      -34.661110   4.245578  -8.1641 3.226e-15 ***      
                time2002      -34.666982   4.247490  -8.1618 3.280e-15 ***      
                time2003      -34.570632   4.249251  -8.1357 3.958e-15 ***      
                time2004      -34.566362   4.250409  -8.1325 4.051e-15 ***      
                time2005      -34.482952   4.251176  -8.1114 4.715e-15 ***      
                time2006      -34.405283   4.253336  -8.0890 5.537e-15 ***      
                time2007      -34.343578   4.255834  -8.0698 6.357e-15 ***      
                time2008      -34.264466   4.257849  -8.0474 7.462e-15 ***      
                time2009      -34.060318   4.257379  -8.0003 1.044e-14 ***      
                time2010      -33.992678   4.259499  -7.9804 1.202e-14 ***      
                time2011      -33.968847   4.261276  -7.9715 1.281e-14 ***      
                time2012      -33.977121   4.262946  -7.9703 1.292e-14 ***      
                time2013      -34.053094   4.263274  -7.9875 1.143e-14 ***      
                time2014      -34.094033   4.265204  -7.9935 1.095e-14 ***      
                time2015      -34.167171   4.267104  -8.0071 9.944e-15 ***      
                time2016      -34.181646   4.268603  -8.0077 9.903e-15 ***      
                time2017      -34.204496   4.270467  -8.0095 9.773e-15 ***      
                time2018      -34.211222   4.272219  -8.0078 9.893e-15 ***      
                time2019      -34.307811   4.273748  -8.0276 8.595e-15 ***      
                fesisAUS.2005  -0.287231   0.069930  -4.1074 4.746e-05 ***      
                fesisAUS.2009  -0.498470   0.070814  -7.0391 7.186e-12 ***      
                fesisAUT.2002  -0.257111   0.052329  -4.9134 1.252e-06 ***      
                fesisCHE.1998  -0.377676   0.084630  -4.4627 1.022e-05 ***      
                fesisCHE.2003  -0.332133   0.060033  -5.5325 5.341e-08 ***      
                fesisCHN.2001   0.358271   0.084922   4.2188 2.966e-05 ***      
                fesisCHN.2004   0.435944   0.095451   4.5672 6.375e-06 ***      
                fesisCHN.2016   0.477671   0.081838   5.8368 1.014e-08 ***      
                fesisDNK.2007   0.749142   0.047472  15.7808 < 2.2e-16 ***      
                fesisESP.2005   0.554943   0.049949  11.1101 < 2.2e-16 ***      
                fesisFIN.1997  -0.405470   0.086686  -4.6774 3.838e-06 ***      
                fesisISR.2007   0.486970   0.091940   5.2966 1.843e-07 ***      
                fesisISR.2009  -0.470329   0.100813  -4.6654 4.059e-06 ***      
                fesisISR.2013  -0.273779   0.074914  -3.6546 0.0002877 ***      
                fesisITA.2007   0.300534   0.049771   6.0383 3.242e-09 ***      
                fesisKOR.1997   0.234433   0.093348   2.5114 0.0123717 *        
                fesisKOR.2004   0.692329   0.060208  11.4990 < 2.2e-16 ***      
                fesisNOR.2013  -0.448486   0.065720  -6.8242 2.840e-11 ***      
                fesisNOR.2017   0.420095   0.088298   4.7577 2.635e-06 ***      
                fesisRUS.2003  -0.348364   0.076357  -4.5623 6.520e-06 ***      
                fesisRUS.2007  -0.396101   0.069445  -5.7038 2.115e-08 ***      
                fesisSWE.2001  -0.530452   0.055345  -9.5845 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   29.595  1 5.324e-08 ***      
                Ljung-Box ARCH(1) 13.262  1 0.0002708 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.11274      
                R-squared          0.99458      
                Log-lik.(n=523)  433.91546      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 02:33:13 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.685249  0.026811 25.5583 < 2.2e-16 ***      
                lgdp           0.615126  0.077620  7.9248 1.936e-14 ***      
                lpop          -0.378510  0.234994 -1.6107 0.1079655          
                idAUT          0.522120  0.200560  2.6033 0.0095484 **       
                idBEL          0.334302  0.147012  2.2740 0.0234535 *        
                idCAN          0.217174  0.125896  1.7250 0.0852325 .        
                idCHE          0.070887  0.213834  0.3315 0.7404232          
                idCHN         -0.182736  0.933900 -0.1957 0.8449598          
                idDEU          0.845372  0.336048  2.5156 0.0122413 *        
                idDNK         -1.201839  0.336674 -3.5697 0.0003971 ***      
                idESP          0.155181  0.189086  0.8207 0.4122714          
                idFIN          0.472782  0.295463  1.6001 0.1102933          
                idFRA          0.594045  0.276506  2.1484 0.0322336 *        
                idGBR          0.587431  0.271518  2.1635 0.0310459 *        
                idISR         -0.329515  0.260744 -1.2637 0.2069970          
                idITA          0.366005  0.254573  1.4377 0.1512310          
                idJPN         -1.943684  0.482251 -4.0304 6.572e-05 ***      
                idKOR         -3.201893  0.467168 -6.8538 2.471e-11 ***      
                idNLD          0.434581  0.075393  5.7642 1.557e-08 ***      
                idNOR         -1.412159  0.388103 -3.6386 0.0003070 ***      
                idRUS         -1.563412  0.493226 -3.1698 0.0016333 **       
                idSWE         -0.924735  0.220525 -4.1933 3.332e-05 ***      
                idUSA          0.467413  0.609950  0.7663 0.4439054          
                time1996      -9.135818  3.762810 -2.4279 0.0155902 *        
                time1997      -9.205528  3.763776 -2.4458 0.0148475 *        
                time1998      -9.157564  3.764461 -2.4326 0.0153916 *        
                time1999      -9.156495  3.765432 -2.4317 0.0154298 *        
                time2000      -9.127846  3.766945 -2.4231 0.0157941 *        
                time2001      -9.128088  3.767973 -2.4225 0.0158197 *        
                time2002      -9.186241  3.769198 -2.4372 0.0152019 *        
                time2003      -9.104454  3.769747 -2.4151 0.0161407 *        
                time2004      -9.112237  3.770954 -2.4164 0.0160844 *        
                time2005      -9.047161  3.770943 -2.3992 0.0168518 *        
                time2006      -9.028703  3.772150 -2.3935 0.0171106 *        
                time2007      -8.990533  3.774167 -2.3821 0.0176420 *        
                time2008      -8.998828  3.775545 -2.3835 0.0175794 *        
                time2009      -8.919185  3.775306 -2.3625 0.0185912 *        
                time2010      -8.896080  3.776745 -2.3555 0.0189414 *        
                time2011      -8.928522  3.777881 -2.3634 0.0185486 *        
                time2012      -8.966746  3.779161 -2.3727 0.0180934 *        
                time2013      -9.068625  3.780703 -2.3987 0.0168753 *        
                time2014      -9.027764  3.782698 -2.3866 0.0174318 *        
                time2015      -9.073337  3.784400 -2.3976 0.0169253 *        
                time2016      -9.013453  3.786273 -2.3806 0.0177160 *        
                time2017      -9.018676  3.787804 -2.3810 0.0176963 *        
                time2018      -9.028348  3.789196 -2.3827 0.0176169 *        
                time2019      -9.125315  3.790432 -2.4075 0.0164794 *        
                fesisAUS.2005 -0.214566  0.053017 -4.0471 6.137e-05 ***      
                fesisCHN.2001  0.208046  0.069741  2.9831 0.0030137 **       
                fesisDNK.1997  0.496687  0.132390  3.7517 0.0001994 ***      
                fesisDNK.1999 -0.241081  0.088838 -2.7137 0.0069173 **       
                fesisDNK.2005  0.421578  0.116686  3.6129 0.0003381 ***      
                fesisDNK.2006 -0.450081  0.152934 -2.9430 0.0034248 **       
                fesisDNK.2007  0.662607  0.152504  4.3448 1.737e-05 ***      
                fesisDNK.2008 -0.355426  0.113426 -3.1335 0.0018439 **       
                fesisESP.2003  0.225640  0.052630  4.2873 2.230e-05 ***      
                fesisISR.2003 -0.355453  0.118934 -2.9887 0.0029607 **       
                fesisISR.2004  0.735869  0.152802  4.8158 2.027e-06 ***      
                fesisISR.2005 -0.538494  0.153050 -3.5184 0.0004799 ***      
                fesisISR.2006  0.414005  0.124686  3.3204 0.0009747 ***      
                fesisISR.2009 -0.346697  0.073291 -4.7304 3.033e-06 ***      
                fesisNOR.1998  0.450018  0.132235  3.4032 0.0007278 ***      
                fesisNOR.1999 -0.443761  0.111046 -3.9962 7.559e-05 ***      
                fesisRUS.1997 -0.648322  0.153063 -4.2356 2.783e-05 ***      
                fesisRUS.1998  0.648002  0.124813  5.1918 3.204e-07 ***      
                fesisRUS.2001 -0.367988  0.078429 -4.6920 3.630e-06 ***      
                fesisRUS.2007 -0.205344  0.059802 -3.4338 0.0006523 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    1.9236  1    0.1655          
                Ljung-Box ARCH(1) 23.4022  1 1.314e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.10517      
                R-squared          0.99519      
                Log-lik.(n=502)  451.76661      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 02:33:12 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.708178   0.024870 28.4753 < 2.2e-16 ***      
                lgdp            0.598695   0.069509  8.6132 < 2.2e-16 ***      
                lpop           -0.196150   0.232786 -0.8426 0.3999291          
                idAUT           0.917608   0.210468  4.3598 1.644e-05 ***      
                idBEL           0.700262   0.162605  4.3065 2.073e-05 ***      
                idCAN           0.088099   0.170243  0.5175 0.6050892          
                idCHE           0.492218   0.224788  2.1897 0.0291038 *        
                idCHN          -0.521237   0.942603 -0.5530 0.5805780          
                idDEU           0.801472   0.348350  2.3008 0.0219009 *        
                idDNK          -0.691225   0.333592 -2.0721 0.0388774 *        
                idESP           0.299554   0.209029  1.4331 0.1525907          
                idFIN           0.999242   0.299277  3.3388 0.0009174 ***      
                idFRA           0.616896   0.292119  2.1118 0.0353027 *        
                idGBR           0.619612   0.287041  2.1586 0.0314538 *        
                idISR           0.149398   0.268459  0.5565 0.5781676          
                idITA           0.423367   0.272145  1.5557 0.1205506          
                idJPN          -2.001429   0.478017 -4.1869 3.456e-05 ***      
                idKOR          -3.037434   0.438529 -6.9264 1.657e-11 ***      
                idNLD           0.711368   0.108767  6.5403 1.813e-10 ***      
                idNOR          -0.675387   0.389844 -1.7325 0.0839376 .        
                idRUS          -1.597259   0.499434 -3.1981 0.0014895 **       
                idSWE          -0.334996   0.225725 -1.4841 0.1385464          
                idUSA           0.200935   0.619597  0.3243 0.7458749          
                time1996      -12.091584   3.734520 -3.2378 0.0013016 **       
                time1997      -12.194983   3.734882 -3.2652 0.0011850 **       
                time1998      -12.118914   3.735189 -3.2445 0.0012719 **       
                time1999      -12.128585   3.735902 -3.2465 0.0012634 **       
                time2000      -12.111620   3.737339 -3.2407 0.0012887 **       
                time2001      -12.108622   3.738748 -3.2387 0.0012976 **       
                time2002      -12.169572   3.739910 -3.2540 0.0012314 **       
                time2003      -12.086674   3.740352 -3.2314 0.0013302 **       
                time2004      -12.089498   3.740855 -3.2317 0.0013287 **       
                time2005      -12.023980   3.740682 -3.2144 0.0014096 **       
                time2006      -12.008559   3.741749 -3.2093 0.0014340 **       
                time2007      -11.964617   3.743365 -3.1962 0.0014992 **       
                time2008      -11.990829   3.744834 -3.2020 0.0014703 **       
                time2009      -11.910136   3.745375 -3.1800 0.0015837 **       
                time2010      -11.881851   3.746295 -3.1716 0.0016287 **       
                time2011      -11.932574   3.747010 -3.1846 0.0015594 **       
                time2012      -11.973203   3.748267 -3.1943 0.0015088 **       
                time2013      -12.053314   3.749627 -3.2145 0.0014089 **       
                time2014      -12.028927   3.751210 -3.2067 0.0014470 **       
                time2015      -12.066597   3.752833 -3.2153 0.0014051 **       
                time2016      -12.022811   3.754754 -3.2020 0.0014700 **       
                time2017      -12.029703   3.756209 -3.2026 0.0014670 **       
                time2018      -12.026251   3.757107 -3.2009 0.0014754 **       
                time2019      -12.124494   3.758293 -3.2261 0.0013547 **       
                fesisAUS.1997   0.298984   0.100510  2.9747 0.0031046 **       
                fesisAUS.2005  -0.268926   0.049279 -5.4572 8.347e-08 ***      
                fesisCAN.1997   0.568341   0.133348  4.2621 2.510e-05 ***      
                fesisCAN.1998  -0.460279   0.133060 -3.4592 0.0005980 ***      
                fesisCAN.1999   0.306684   0.103064  2.9757 0.0030950 **       
                fesisCAN.2004  -0.159547   0.049749 -3.2070 0.0014453 **       
                fesisCHN.1998  -0.389420   0.115268 -3.3784 0.0007982 ***      
                fesisCHN.1999   0.444904   0.101122  4.3997 1.381e-05 ***      
                fesisDNK.1997   0.514895   0.115432  4.4606 1.054e-05 ***      
                fesisDNK.1999  -0.253260   0.077448 -3.2701 0.0011652 **       
                fesisDNK.2005   0.416030   0.101278  4.1078 4.816e-05 ***      
                fesisDNK.2006  -0.459375   0.132708 -3.4615 0.0005930 ***      
                fesisDNK.2007   0.657088   0.132350  4.9648 1.007e-06 ***      
                fesisDNK.2008  -0.358098   0.098584 -3.6324 0.0003160 ***      
                fesisESP.2003   0.192124   0.046482  4.1333 4.331e-05 ***      
                fesisFIN.2000  -0.278345   0.104953 -2.6521 0.0083066 **       
                fesisFIN.2001   0.235357   0.096410  2.4412 0.0150563 *        
                fesisISR.2003  -0.367454   0.103324 -3.5563 0.0004195 ***      
                fesisISR.2004   0.734948   0.132640  5.5409 5.362e-08 ***      
                fesisISR.2005  -0.554237   0.132824 -4.1727 3.670e-05 ***      
                fesisISR.2006   0.407368   0.108195  3.7651 0.0001905 ***      
                fesisISR.2009  -0.456358   0.085767 -5.3209 1.695e-07 ***      
                fesisISR.2011   0.313669   0.094031  3.3358 0.0009273 ***      
                fesisISR.2013  -0.482298   0.114670 -4.2060 3.189e-05 ***      
                fesisISR.2014   0.369750   0.105042  3.5200 0.0004794 ***      
                fesisISR.2018  -0.307985   0.081492 -3.7793 0.0001803 ***      
                fesisNOR.1997  -0.315488   0.133155 -2.3693 0.0182786 *        
                fesisNOR.1998   0.594055   0.132912  4.4695 1.013e-05 ***      
                fesisNOR.1999  -0.416669   0.098565 -4.2274 2.912e-05 ***      
                fesisNOR.2010  -0.176525   0.051509 -3.4271 0.0006711 ***      
                fesisNOR.2015   0.203832   0.059624  3.4186 0.0006918 ***      
                fesisRUS.1997  -0.624917   0.133344 -4.6865 3.777e-06 ***      
                fesisRUS.1998   0.757201   0.133045  5.6913 2.390e-08 ***      
                fesisRUS.1999  -0.421871   0.132922 -3.1738 0.0016168 **       
                fesisRUS.2000   0.471494   0.132516  3.5580 0.0004169 ***      
                fesisRUS.2001  -0.537766   0.101875 -5.2787 2.105e-07 ***      
                fesisRUS.2007  -0.400522   0.101911 -3.9301 9.949e-05 ***      
                fesisRUS.2008   0.270131   0.100861  2.6782 0.0076957 **       
                fesisRUS.2015  -0.383554   0.100096 -3.8318 0.0001469 ***      
                fesisRUS.2016   0.339956   0.104812  3.2435 0.0012765 **       
                fesisSWE.1999  -0.201229   0.060469 -3.3278 0.0009535 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value      
                Ljung-Box AR(1)   1.2656  1  0.2606      
                Ljung-Box ARCH(1) 0.3628  1  0.5470      
                                                
                SE of regression   0.09123      
                R-squared          0.99656      
                Log-lik.(n=502)  533.66725      

Energy

with IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 03:02:50 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.7395e-12  8.6711e-14  31.5937 < 2.2e-16 ***      
                pop            1.0817e-05  6.8285e-07  15.8405 < 2.2e-16 ***      
                idAUT          1.4482e+02  2.5910e+01   5.5893 4.045e-08 ***      
                idBEL          8.3953e+01  2.5398e+01   3.3056 0.0010269 **       
                idCAN         -2.1973e+01  2.5677e+01  -0.8558 0.3926072          
                idCHE          1.6029e+02  2.6060e+01   6.1509 1.758e-09 ***      
                idCHN         -1.3404e+04  8.4615e+02 -15.8408 < 2.2e-16 ***      
                idDEU         -1.2925e+02  5.2659e+01  -2.4545 0.0145012 *        
                idDNK          2.5948e+02  2.6628e+01   9.7449 < 2.2e-16 ***      
                idESP         -2.2916e+02  2.8915e+01  -7.9255 1.953e-14 ***      
                idFIN          1.4350e+02  2.6677e+01   5.3792 1.229e-07 ***      
                idFRA         -2.0332e+02  3.7872e+01  -5.3687 1.298e-07 ***      
                idGBR         -2.5673e+02  3.6874e+01  -6.9623 1.251e-11 ***      
                idISR          1.3665e+02  2.6687e+01   5.1206 4.596e-07 ***      
                idITA         -3.5855e+02  3.5269e+01 -10.1661 < 2.2e-16 ***      
                idJPN         -4.3553e+02  1.0506e+02  -4.1455 4.083e-05 ***      
                idKOR         -2.2079e+03  8.1113e+01 -27.2195 < 2.2e-16 ***      
                idNLD          8.0477e+01  2.4586e+01   3.2733 0.0011483 **       
                idNOR          1.3481e+02  2.6826e+01   5.0253 7.375e-07 ***      
                idRUS         -1.5522e+03  8.7802e+01 -17.6787 < 2.2e-16 ***      
                idSWE          1.1888e+02  2.5692e+01   4.6270 4.912e-06 ***      
                idUSA         -2.1640e+03  1.7800e+02 -12.1578 < 2.2e-16 ***      
                time1995      -2.3512e+02  2.9635e+01  -7.9337 1.843e-14 ***      
                time1996      -2.4044e+02  2.9712e+01  -8.0922 5.999e-15 ***      
                time1997      -2.3740e+02  2.9420e+01  -8.0693 7.063e-15 ***      
                time1998      -2.1201e+02  2.8996e+01  -7.3118 1.288e-12 ***      
                time1999      -1.9903e+02  2.9267e+01  -6.8007 3.480e-11 ***      
                time2000      -2.2616e+02  2.9038e+01  -7.7883 5.090e-14 ***      
                time2001      -2.1525e+02  2.9255e+01  -7.3576 9.510e-13 ***      
                time2002      -2.0765e+02  2.8123e+01  -7.3835 8.002e-13 ***      
                time2003      -2.0289e+02  2.8293e+01  -7.1708 3.256e-12 ***      
                time2004      -1.8324e+02  2.8460e+01  -6.4388 3.211e-10 ***      
                time2005      -1.5531e+02  2.8634e+01  -5.4238 9.734e-08 ***      
                time2006      -1.3070e+02  2.8814e+01  -4.5358 7.444e-06 ***      
                time2007      -1.6185e+02  2.9190e+01  -5.5449 5.131e-08 ***      
                time2008      -1.2840e+02  2.9354e+01  -4.3743 1.529e-05 ***      
                time2009      -9.3564e+01  3.0177e+01  -3.1006 0.0020580 **       
                time2010      -6.4248e+01  3.0341e+01  -2.1175 0.0347875 *        
                time2011      -4.3644e+01  3.0497e+01  -1.4311 0.1531336          
                time2012      -6.3635e+01  3.0739e+01  -2.0702 0.0390310 *        
                time2013      -1.1786e+02  3.0980e+01  -3.8043 0.0001627 ***      
                time2014      -1.3785e+02  3.1217e+01  -4.4157 1.274e-05 ***      
                time2015      -1.5230e+02  3.1085e+01  -4.8995 1.361e-06 ***      
                time2016      -1.3055e+02  3.1313e+01  -4.1693 3.693e-05 ***      
                time2017      -1.4638e+02  3.0106e+01  -4.8621 1.629e-06 ***      
                time2018      -1.3289e+02  3.0313e+01  -4.3839 1.466e-05 ***      
                time2019      -1.6842e+02  3.0478e+01  -5.5258 5.679e-08 ***      
                iis126         5.8379e+02  1.0510e+02   5.5543 4.878e-08 ***      
                iis127         4.4744e+02  1.0256e+02   4.3626 1.609e-05 ***      
                iis128         3.1612e+02  1.0058e+02   3.1431 0.0017871 **       
                iis349        -1.0340e+03  1.0844e+02  -9.5354 < 2.2e-16 ***      
                iis350        -1.0001e+03  1.0843e+02  -9.2238 < 2.2e-16 ***      
                iis351        -9.4828e+02  1.0832e+02  -8.7546 < 2.2e-16 ***      
                iis352        -7.8752e+02  1.0820e+02  -7.2783 1.608e-12 ***      
                iis353        -3.8094e+02  1.0814e+02  -3.5225 0.0004730 ***      
                iis363         8.7033e+02  9.4669e+01   9.1933 < 2.2e-16 ***      
                iis364         2.1177e+03  9.4643e+01  22.3761 < 2.2e-16 ***      
                iis365         2.5377e+03  9.4652e+01  26.8103 < 2.2e-16 ***      
                iis366         2.0673e+03  9.4670e+01  21.8373 < 2.2e-16 ***      
                iis367         1.5785e+03  9.4690e+01  16.6703 < 2.2e-16 ***      
                iis368         1.6073e+03  9.4712e+01  16.9708 < 2.2e-16 ***      
                iis369         1.3612e+03  9.4601e+01  14.3892 < 2.2e-16 ***      
                iis370         1.4098e+03  9.4673e+01  14.8916 < 2.2e-16 ***      
                iis371         1.6006e+03  9.4516e+01  16.9343 < 2.2e-16 ***      
                iis372         1.5615e+03  9.4533e+01  16.5184 < 2.2e-16 ***      
                iis373         8.0984e+02  9.4545e+01   8.5656 < 2.2e-16 ***      
                iis388         4.1460e+02  9.2567e+01   4.4789 9.615e-06 ***      
                iis389         6.2610e+02  9.2534e+01   6.7661 4.319e-11 ***      
                iis390         6.2033e+02  9.2816e+01   6.6834 7.223e-11 ***      
                iis391         6.6334e+02  9.3114e+01   7.1240 4.417e-12 ***      
                iis392         8.8829e+02  9.3698e+01   9.4803 < 2.2e-16 ***      
                iis393         4.7371e+02  9.4498e+01   5.0129 7.838e-07 ***      
                iis395         3.5112e+02  9.6389e+01   3.6428 0.0003025 ***      
                iis511         3.1200e+02  9.9881e+01   3.1237 0.0019063 **       
                iis512         7.3529e+02  9.9657e+01   7.3783 8.284e-13 ***      
                iis513         1.0570e+03  9.9680e+01  10.6041 < 2.2e-16 ***      
                iis514         1.1969e+03  9.9528e+01  12.0261 < 2.2e-16 ***      
                iis515         1.0812e+03  9.9410e+01  10.8766 < 2.2e-16 ***      
                iis516         9.7181e+02  9.9283e+01   9.7883 < 2.2e-16 ***      
                iis517         1.0105e+03  9.9207e+01  10.1860 < 2.2e-16 ***      
                iis518         4.2886e+02  9.9135e+01   4.3260 1.888e-05 ***      
                iis519         3.5721e+02  9.8943e+01   3.6102 0.0003418 ***      
                fesisCHN.2002 -4.1708e+02  7.0992e+01  -5.8750 8.452e-09 ***      
                fesisCHN.2017  8.9800e+02  7.2622e+01  12.3655 < 2.2e-16 ***      
                fesisDEU.2007  1.0502e+03  4.7186e+01  22.2574 < 2.2e-16 ***      
                fesisDEU.2012 -1.9371e+02  5.0540e+01  -3.8328 0.0001455 ***      
                fesisJPN.2002  4.3258e+02  7.0975e+01   6.0948 2.430e-09 ***      
                fesisKOR.1999 -3.6481e+02  6.8942e+01  -5.2916 1.933e-07 ***      
                fesisKOR.2002 -2.7820e+02  7.1625e+01  -3.8842 0.0001188 ***      
                fesisUSA.2000  5.5224e+02  5.3291e+01  10.3628 < 2.2e-16 ***      
                fesisUSA.2007  6.5903e+02  5.9513e+01  11.0737 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   106.604  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1)  69.369  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    86.14446      
                R-squared            0.99244      
                Log-lik.(n=523)  -3027.10629      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 03:02:47 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            3.0392e-12  1.1899e-13  25.5419 < 2.2e-16 ***      
                pop            1.4234e-05  8.4937e-07  16.7583 < 2.2e-16 ***      
                idAUT          1.4460e+02  2.5833e+01   5.5977 3.983e-08 ***      
                idBEL          7.5495e+01  2.5067e+01   3.0118 0.0027580 **       
                idCAN         -1.0727e+02  2.5796e+01  -4.1585 3.904e-05 ***      
                idCHE          1.6217e+02  2.6058e+01   6.2235 1.203e-09 ***      
                idCHN         -1.8447e+04  1.1265e+03 -16.3757 < 2.2e-16 ***      
                idDEU         -3.7827e+02  6.0032e+01  -6.3012 7.631e-10 ***      
                idDNK          2.6843e+02  2.6902e+01   9.9781 < 2.2e-16 ***      
                idESP         -3.5160e+02  3.0763e+01 -11.4292 < 2.2e-16 ***      
                idFIN          1.5359e+02  2.6977e+01   5.6934 2.377e-08 ***      
                idFRA         -3.9326e+02  4.3416e+01  -9.0579 < 2.2e-16 ***      
                idGBR         -4.3999e+02  4.2053e+01 -10.4629 < 2.2e-16 ***      
                idISR          1.3914e+02  2.6608e+01   5.2292 2.719e-07 ***      
                idITA         -5.3090e+02  3.9838e+01 -13.3264 < 2.2e-16 ***      
                idJPN          2.5657e+02  1.1924e+02   2.1517 0.0320077 *        
                idKOR         -2.5502e+03  9.7760e+01 -26.0868 < 2.2e-16 ***      
                idNLD          5.2510e+01  2.3862e+01   2.2006 0.0283231 *        
                idNOR          1.8284e+02  2.9778e+01   6.1400 1.951e-09 ***      
                idRUS         -1.9738e+03  1.1088e+02 -17.8018 < 2.2e-16 ***      
                idSWE          1.1430e+02  2.5504e+01   4.4818 9.617e-06 ***      
                idUSA         -3.0630e+03  2.1830e+02 -14.0309 < 2.2e-16 ***      
                time1995      -2.6580e+02  2.9317e+01  -9.0665 < 2.2e-16 ***      
                time1996      -2.7293e+02  2.9435e+01  -9.2722 < 2.2e-16 ***      
                time1997      -2.7098e+02  2.9333e+01  -9.2380 < 2.2e-16 ***      
                time1998      -2.5414e+02  2.9452e+01  -8.6289 < 2.2e-16 ***      
                time1999      -2.4233e+02  2.9744e+01  -8.1472 4.548e-15 ***      
                time2000      -2.4976e+02  2.9269e+01  -8.5332 2.792e-16 ***      
                time2001      -2.3796e+02  2.9382e+01  -8.0987 6.415e-15 ***      
                time2002      -2.3204e+02  2.9450e+01  -7.8791 2.997e-14 ***      
                time2003      -2.3667e+02  2.9566e+01  -8.0050 1.243e-14 ***      
                time2004      -2.2147e+02  2.9692e+01  -7.4590 5.249e-13 ***      
                time2005      -1.9854e+02  2.9823e+01  -6.6575 8.963e-11 ***      
                time2006      -1.5542e+02  2.8966e+01  -5.3657 1.351e-07 ***      
                time2007      -1.8823e+02  2.9424e+01  -6.3974 4.318e-10 ***      
                time2008      -1.4772e+02  2.9767e+01  -4.9625 1.022e-06 ***      
                time2009      -1.0094e+02  3.0767e+01  -3.2810 0.0011230 **       
                time2010      -7.5330e+01  3.1065e+01  -2.4249 0.0157428 *        
                time2011      -8.4805e+01  3.1585e+01  -2.6850 0.0075472 **       
                time2012      -1.0992e+02  3.1923e+01  -3.4434 0.0006335 ***      
                time2013      -1.3777e+02  3.2037e+01  -4.3004 2.133e-05 ***      
                time2014      -1.6009e+02  3.2375e+01  -4.9450 1.112e-06 ***      
                time2015      -1.7897e+02  3.2441e+01  -5.5168 6.127e-08 ***      
                time2016      -1.6817e+02  3.3017e+01  -5.0933 5.377e-07 ***      
                time2017      -1.6599e+02  3.1518e+01  -5.2664 2.251e-07 ***      
                time2018      -1.5527e+02  3.1814e+01  -4.8805 1.518e-06 ***      
                time2019      -1.8282e+02  3.2032e+01  -5.7072 2.204e-08 ***      
                iis126         1.5367e+03  1.4058e+02  10.9315 < 2.2e-16 ***      
                iis127         1.3585e+03  1.3178e+02  10.3081 < 2.2e-16 ***      
                iis128         1.1851e+03  1.2332e+02   9.6097 < 2.2e-16 ***      
                iis129         9.9548e+02  1.1566e+02   8.6071 < 2.2e-16 ***      
                iis130         8.3214e+02  1.0904e+02   7.6316 1.642e-13 ***      
                iis131         7.0224e+02  1.0265e+02   6.8411 2.870e-11 ***      
                iis132         5.6780e+02  9.7629e+01   5.8158 1.216e-08 ***      
                iis133         4.5157e+02  9.3262e+01   4.8419 1.825e-06 ***      
                iis134         3.5216e+02  8.9518e+01   3.9339 9.812e-05 ***      
                iis135         2.8161e+02  8.6259e+01   3.2647 0.0011876 **       
                iis136         2.0463e+02  8.3358e+01   2.4548 0.0145115 *        
                iis167         5.1047e+02  8.0464e+01   6.3441 5.926e-10 ***      
                iis168         5.1838e+02  7.6909e+01   6.7402 5.381e-11 ***      
                iis349        -2.2615e+03  8.8368e+01 -25.5923 < 2.2e-16 ***      
                iis350        -2.2311e+03  8.8272e+01 -25.2755 < 2.2e-16 ***      
                iis351        -2.1806e+03  8.8163e+01 -24.7336 < 2.2e-16 ***      
                iis352        -2.0106e+03  8.8193e+01 -22.7981 < 2.2e-16 ***      
                iis353        -1.6032e+03  8.8266e+01 -18.1634 < 2.2e-16 ***      
                iis354        -1.2739e+03  8.8137e+01 -14.4538 < 2.2e-16 ***      
                iis355        -1.2217e+03  8.8142e+01 -13.8609 < 2.2e-16 ***      
                iis356        -1.1862e+03  8.8098e+01 -13.4650 < 2.2e-16 ***      
                iis357        -9.4793e+02  8.8072e+01 -10.7632 < 2.2e-16 ***      
                iis358        -8.4987e+02  8.8039e+01  -9.6533 < 2.2e-16 ***      
                iis359        -7.3055e+02  8.8018e+01  -8.3000 1.523e-15 ***      
                iis360        -7.9671e+02  8.7956e+01  -9.0581 < 2.2e-16 ***      
                iis361        -5.5346e+02  8.8000e+01  -6.2893 8.181e-10 ***      
                iis362        -6.6502e+02  8.7950e+01  -7.5613 2.641e-13 ***      
                iis364         1.2786e+03  8.7989e+01  14.5315 < 2.2e-16 ***      
                iis365         1.7294e+03  8.8071e+01  19.6362 < 2.2e-16 ***      
                iis366         1.2628e+03  8.8060e+01  14.3399 < 2.2e-16 ***      
                iis367         7.4509e+02  8.7975e+01   8.4694 4.454e-16 ***      
                iis368         7.7637e+02  8.7985e+01   8.8238 < 2.2e-16 ***      
                iis369         5.3267e+02  8.7927e+01   6.0581 3.120e-09 ***      
                iis370         5.9122e+02  8.8042e+01   6.7152 6.283e-11 ***      
                iis371         7.6158e+02  8.7848e+01   8.6694 < 2.2e-16 ***      
                iis372         7.2480e+02  8.7857e+01   8.2497 2.186e-15 ***      
                iis388         4.5656e+02  8.0180e+01   5.6942 2.366e-08 ***      
                iis389         6.4368e+02  7.8214e+01   8.2298 2.522e-15 ***      
                iis390         6.5093e+02  7.7780e+01   8.3689 9.254e-16 ***      
                iis391         6.8753e+02  7.7700e+01   8.8485 < 2.2e-16 ***      
                iis392         8.7095e+02  7.7847e+01  11.1879 < 2.2e-16 ***      
                iis393         4.4262e+02  7.8548e+01   5.6350 3.259e-08 ***      
                iis395         3.0558e+02  8.1046e+01   3.7704 0.0001869 ***      
                iis398        -2.3694e+02  8.7341e+01  -2.7129 0.0069516 **       
                iis511         4.7411e+02  8.5083e+01   5.5724 4.560e-08 ***      
                iis512         8.8056e+02  8.4659e+01  10.4012 < 2.2e-16 ***      
                iis513         1.1813e+03  8.4288e+01  14.0152 < 2.2e-16 ***      
                iis514         1.3161e+03  8.4048e+01  15.6586 < 2.2e-16 ***      
                iis515         1.2227e+03  8.3913e+01  14.5708 < 2.2e-16 ***      
                iis516         1.1104e+03  8.3731e+01  13.2617 < 2.2e-16 ***      
                iis517         1.1152e+03  8.3467e+01  13.3610 < 2.2e-16 ***      
                iis518         5.2781e+02  8.3323e+01   6.3345 6.272e-10 ***      
                iis519         4.5239e+02  8.3090e+01   5.4446 8.961e-08 ***      
                iis520         2.9712e+02  8.3101e+01   3.5755 0.0003913 ***      
                fesisAUS.2009 -1.0154e+02  2.9187e+01  -3.4790 0.0005573 ***      
                fesisCHN.2017  7.2569e+02  6.5160e+01  11.1371 < 2.2e-16 ***      
                fesisDEU.2007  9.3831e+02  4.1631e+01  22.5384 < 2.2e-16 ***      
                fesisDEU.2012 -1.5202e+02  4.5170e+01  -3.3656 0.0008357 ***      
                fesisKOR.1999 -2.5788e+02  8.1039e+01  -3.1821 0.0015734 **       
                fesisKOR.2000 -2.4439e+02  8.8744e+01  -2.7538 0.0061523 **       
                fesisKOR.2002 -2.1671e+02  6.4973e+01  -3.3354 0.0009292 ***      
                fesisKOR.2006 -1.8499e+02  6.8654e+01  -2.6946 0.0073374 **       
                fesisNOR.2008 -7.6945e+01  2.9058e+01  -2.6479 0.0084110 **       
                fesisRUS.2007 -1.2582e+02  2.9517e+01  -4.2627 2.509e-05 ***      
                fesisUSA.2000  4.8505e+02  4.4615e+01  10.8718 < 2.2e-16 ***      
                fesisUSA.2007  4.5509e+02  5.7315e+01   7.9402 1.958e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   99.164  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 53.020  1 3.301e-13 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    69.90615      
                R-squared            0.99528      
                Log-lik.(n=523)  -2906.86618      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 03:02:46 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.3865e-01  7.8737e-03 119.2130 < 2.2e-16 ***      
                gdp            3.3205e-13  4.7477e-14   6.9939 1.035e-11 ***      
                pop            1.2350e-06  1.9599e-07   6.3014 7.341e-10 ***      
                idAUT          1.8884e+01  1.2066e+01   1.5650 0.1183251          
                idBEL          9.6147e+00  1.1960e+01   0.8039 0.4219054          
                idCAN         -5.6989e+00  1.1985e+01  -0.4755 0.6346713          
                idCHE          1.7230e+01  1.2101e+01   1.4238 0.1552245          
                idCHN         -1.5282e+03  2.5182e+02  -6.0684 2.847e-09 ***      
                idDEU          7.3310e+00  1.8985e+01   0.3861 0.6995841          
                idDNK          3.1748e+01  1.2282e+01   2.5850 0.0100674 *        
                idESP         -2.7321e+01  1.2594e+01  -2.1694 0.0306048 *        
                idFIN          1.6301e+01  1.2183e+01   1.3380 0.1815915          
                idFRA         -2.4534e+01  1.4118e+01  -1.7377 0.0829752 .        
                idGBR         -3.0762e+01  1.3978e+01  -2.2007 0.0282888 *        
                idISR          1.4975e+01  1.2389e+01   1.2087 0.2274492          
                idITA         -4.1932e+01  1.3802e+01  -3.0382 0.0025261 **       
                idJPN         -1.2265e+02  3.9480e+01  -3.1068 0.0020173 **       
                idKOR         -2.7194e+02  5.1893e+01  -5.2405 2.520e-07 ***      
                idNLD          8.6015e+00  1.1840e+01   0.7265 0.4679582          
                idNOR          1.6496e+01  1.2200e+01   1.3521 0.1770507          
                idRUS         -1.7845e+02  2.7502e+01  -6.4888 2.397e-10 ***      
                idSWE          1.2449e+01  1.2022e+01   1.0356 0.3009930          
                idUSA         -1.6316e+02  5.1587e+01  -3.1628 0.0016738 **       
                time1996      -3.0343e+01  1.2711e+01  -2.3870 0.0174176 *        
                time1997      -2.7081e+01  1.2742e+01  -2.1253 0.0341331 *        
                time1998      -1.8337e+01  1.2617e+01  -1.4533 0.1468743          
                time1999      -1.9958e+01  1.2685e+01  -1.5734 0.1163627          
                time2000      -1.7426e+01  1.2686e+01  -1.3736 0.1702809          
                time2001      -1.8833e+01  1.2714e+01  -1.4813 0.1392584          
                time2002      -3.1840e+01  1.2726e+01  -2.5019 0.0127243 *        
                time2003      -2.7364e+01  1.2753e+01  -2.1458 0.0324547 *        
                time2004      -9.9195e+00  1.2777e+01  -0.7764 0.4379633          
                time2005      -2.3528e+00  1.2781e+01  -0.1841 0.8540324          
                time2006      -1.8038e+01  1.2912e+01  -1.3969 0.1631535          
                time2007       9.4033e+00  1.3011e+01   0.7227 0.4702334          
                time2008       4.2081e+00  1.3141e+01   0.3202 0.7489517          
                time2009       6.1604e+00  1.3304e+01   0.4630 0.6435655          
                time2010       9.2178e+00  1.3172e+01   0.6998 0.4844363          
                time2011      -1.0321e+01  1.3071e+01  -0.7896 0.4302227          
                time2012      -4.5556e+01  1.3120e+01  -3.4723 0.0005684 ***      
                time2013      -4.6196e+01  1.3460e+01  -3.4321 0.0006572 ***      
                time2014      -3.7706e+01  1.3180e+01  -2.8609 0.0044317 **       
                time2015      -4.8491e+01  1.3077e+01  -3.7081 0.0002363 ***      
                time2016      -2.2008e+01  1.3132e+01  -1.6759 0.0944827 .        
                time2017      -2.3236e+00  1.3038e+01  -0.1782 0.8586339          
                time2018      -1.1771e+01  1.3048e+01  -0.9021 0.3675217          
                time2019      -4.4186e+01  1.3368e+01  -3.3052 0.0010288 **       
                iis141         3.5586e+02  4.5172e+01   7.8780 2.774e-14 ***      
                iis142         3.3712e+02  4.5557e+01   7.4000 7.270e-13 ***      
                iis143         3.4023e+02  4.6098e+01   7.3805 8.282e-13 ***      
                iis162        -3.6659e+02  4.4993e+01  -8.1478 4.114e-15 ***      
                iis347        -2.0604e+02  4.3670e+01  -4.7181 3.229e-06 ***      
                iis348         5.4126e+02  4.3769e+01  12.3661 < 2.2e-16 ***      
                iis349         1.2486e+03  4.3670e+01  28.5911 < 2.2e-16 ***      
                iis350         4.5634e+02  4.5148e+01  10.1075 < 2.2e-16 ***      
                iis351        -3.9519e+02  4.6074e+01  -8.5771 < 2.2e-16 ***      
                iis352        -4.7013e+02  4.5211e+01 -10.3984 < 2.2e-16 ***      
                iis358        -7.8747e+02  4.4370e+01 -17.7478 < 2.2e-16 ***      
                iis372         3.9793e+02  4.4849e+01   8.8727 < 2.2e-16 ***      
                iis373         3.2230e+02  4.5930e+01   7.0174 8.901e-12 ***      
                iis376         1.9127e+02  4.8427e+01   3.9497 9.148e-05 ***      
                iis379         4.4855e+02  4.8603e+01   9.2289 < 2.2e-16 ***      
                iis489         3.0993e+02  4.3351e+01   7.1493 3.794e-12 ***      
                iis490         4.0104e+02  4.3449e+01   9.2301 < 2.2e-16 ***      
                iis491         4.1912e+02  4.3832e+01   9.5618 < 2.2e-16 ***      
                iis492         3.4051e+02  4.4442e+01   7.6620 1.236e-13 ***      
                iis497        -4.0733e+02  4.6334e+01  -8.7911 < 2.2e-16 ***      
                fesisDEU.2007  2.2431e+02  2.3505e+01   9.5431 < 2.2e-16 ***      
                fesisDEU.2012 -2.5427e+02  2.4586e+01 -10.3424 < 2.2e-16 ***      
                fesisJPN.1999  3.0562e+02  3.8385e+01   7.9619 1.540e-14 ***      
                fesisJPN.2001 -2.2157e+02  3.4227e+01  -6.4737 2.625e-10 ***      
                fesisKOR.2014 -4.0361e+02  4.0071e+01 -10.0724 < 2.2e-16 ***      
                fesisKOR.2016  1.5222e+02  3.9135e+01   3.8896 0.0001164 ***      
                fesisUSA.2014 -1.5736e+02  2.2929e+01  -6.8627 2.380e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value         
                Ljung-Box AR(1)   2.3070  1 0.128796         
                Ljung-Box ARCH(1) 8.3013  1 0.003962 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    40.8487      
                R-squared            0.9983      
                Log-lik.(n=502)  -2537.6642      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 03:02:45 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.0558e-01  1.1986e-02  75.5550 < 2.2e-16 ***      
                gdp            1.5254e-14  1.1351e-13   0.1344 0.8931626          
                pop            1.3424e-06  2.0993e-07   6.3947 4.272e-10 ***      
                idAUT          1.9890e+01  1.2008e+01   1.6563 0.0983977 .        
                idBEL          9.3462e+00  1.1891e+01   0.7860 0.4323120          
                idCAN         -3.3415e+00  1.1959e+01  -0.2794 0.7800588          
                idCHE          1.8781e+01  1.2049e+01   1.5588 0.1197988          
                idCHN         -1.6505e+03  2.6859e+02  -6.1453 1.849e-09 ***      
                idDEU          8.1644e+00  2.0355e+01   0.4011 0.6885517          
                idDNK          3.6464e+01  1.2276e+01   2.9702 0.0031459 **       
                idESP         -2.9356e+01  1.2624e+01  -2.3255 0.0205173 *        
                idFIN          1.6562e+01  1.2146e+01   1.3636 0.1734069          
                idFRA         -2.0560e+01  1.4549e+01  -1.4132 0.1583355          
                idGBR         -2.9123e+01  1.4301e+01  -2.0363 0.0423392 *        
                idISR          1.5679e+01  1.2338e+01   1.2709 0.2044749          
                idITA         -4.4354e+01  1.4004e+01  -3.1673 0.0016503 **       
                idJPN          4.9838e+01  6.0144e+01   0.8287 0.4077702          
                idKOR         -1.6753e+01  9.7764e+01  -0.1714 0.8640186          
                idNLD          9.7184e+00  1.1752e+01   0.8270 0.4087219          
                idNOR          1.7373e+01  1.2180e+01   1.4263 0.1545092          
                idRUS         -1.7104e+02  2.9002e+01  -5.8976 7.569e-09 ***      
                idSWE          1.4288e+01  1.1969e+01   1.1938 0.2332379          
                idUSA         -1.6364e+02  5.5835e+01  -2.9308 0.0035641 **       
                time1996      -3.4554e+01  1.2702e+01  -2.7202 0.0067928 **       
                time1997      -3.0262e+01  1.2721e+01  -2.3789 0.0178075 *        
                time1998      -2.1763e+01  1.2618e+01  -1.7247 0.0853087 .        
                time1999      -2.2060e+01  1.2665e+01  -1.7418 0.0822729 .        
                time2000      -1.7023e+01  1.2658e+01  -1.3448 0.1794084          
                time2001      -1.8930e+01  1.2690e+01  -1.4917 0.1365225          
                time2002      -3.0010e+01  1.2707e+01  -2.3617 0.0186427 *        
                time2003      -3.1593e+01  1.2815e+01  -2.4652 0.0140896 *        
                time2004      -1.2531e+01  1.2811e+01  -0.9782 0.3285523          
                time2005      -2.8712e+00  1.2805e+01  -0.2242 0.8226884          
                time2006      -2.6115e+01  1.2998e+01  -2.0093 0.0451455 *        
                time2007       7.6776e+00  1.3124e+01   0.5850 0.5588707          
                time2008       1.1908e+01  1.3166e+01   0.9044 0.3662878          
                time2009       1.3385e+01  1.3355e+01   1.0022 0.3168076          
                time2010       1.6799e+01  1.3256e+01   1.2673 0.2057523          
                time2011      -3.0354e+00  1.3247e+01  -0.2291 0.8188779          
                time2012      -4.9421e+01  1.3317e+01  -3.7112 0.0002339 ***      
                time2013      -4.2384e+01  1.3575e+01  -3.1222 0.0019189 **       
                time2014      -3.1302e+01  1.3371e+01  -2.3410 0.0196951 *        
                time2015      -4.2003e+01  1.3232e+01  -3.1743 0.0016118 **       
                time2016      -1.7815e+01  1.3193e+01  -1.3503 0.1776425          
                time2017      -1.0195e+01  1.3263e+01  -0.7687 0.4425052          
                time2018      -7.1380e+00  1.3117e+01  -0.5442 0.5866081          
                time2019      -4.5120e+01  1.3277e+01  -3.3984 0.0007422 ***      
                iis141         2.4394e+02  6.0977e+01   4.0005 7.463e-05 ***      
                iis142         2.5384e+02  5.9657e+01   4.2550 2.578e-05 ***      
                iis143         2.6073e+02  5.9018e+01   4.4178 1.269e-05 ***      
                iis156         1.3984e+02  4.5435e+01   3.0779 0.0022204 **       
                iis162        -3.6161e+02  4.5462e+01  -7.9542 1.673e-14 ***      
                iis347        -2.0181e+02  4.3453e+01  -4.6443 4.565e-06 ***      
                iis348         5.3361e+02  4.3632e+01  12.2298 < 2.2e-16 ***      
                iis349         1.2686e+03  4.3695e+01  29.0335 < 2.2e-16 ***      
                iis350         5.2078e+02  4.7867e+01  10.8798 < 2.2e-16 ***      
                iis351        -3.0285e+02  5.0082e+01  -6.0470 3.251e-09 ***      
                iis352        -3.9781e+02  4.7732e+01  -8.3342 1.110e-15 ***      
                iis356         2.2287e+02  4.5156e+01   4.9356 1.152e-06 ***      
                iis358        -7.1859e+02  4.5740e+01 -15.7103 < 2.2e-16 ***      
                iis372         2.8228e+02  5.4490e+01   5.1805 3.436e-07 ***      
                iis373         2.5390e+02  5.1651e+01   4.9157 1.269e-06 ***      
                iis376         1.9540e+02  5.1475e+01   3.7960 0.0001686 ***      
                iis379         3.9905e+02  4.9323e+01   8.0906 6.378e-15 ***      
                iis489         2.4604e+02  5.0393e+01   4.8824 1.489e-06 ***      
                iis490         3.4398e+02  4.8950e+01   7.0272 8.509e-12 ***      
                iis491         3.6894e+02  4.7518e+01   7.7642 6.278e-14 ***      
                iis492         3.0652e+02  4.6769e+01   6.5539 1.638e-10 ***      
                iis497        -3.8677e+02  4.6379e+01  -8.3394 1.068e-15 ***      
                fesisCHN.2016  1.3932e+02  5.0536e+01   2.7569 0.0060882 **       
                fesisDEU.2006  1.7757e+02  2.4234e+01   7.3274 1.203e-12 ***      
                fesisDEU.2013 -1.5975e+02  2.4143e+01  -6.6167 1.116e-10 ***      
                fesisJPN.1999  3.1854e+02  3.8273e+01   8.3228 1.205e-15 ***      
                fesisJPN.2001 -1.7073e+02  3.6578e+01  -4.6676 4.100e-06 ***      
                fesisKOR.2003  1.4900e+02  4.3753e+01   3.4055 0.0007236 ***      
                fesisKOR.2009  1.5824e+02  4.8372e+01   3.2714 0.0011580 **       
                fesisKOR.2014 -3.7392e+02  4.4227e+01  -8.4547 4.606e-16 ***      
                fesisKOR.2016  2.1345e+02  4.2720e+01   4.9965 8.567e-07 ***      
                fesisUSA.2006  9.8189e+01  3.6749e+01   2.6719 0.0078341 **       
                fesisUSA.2014 -1.9795e+02  2.9857e+01  -6.6302 1.028e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    7.7002  1  0.005521 **       
                Ljung-Box ARCH(1) 16.9603  1 3.817e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    40.51248      
                R-squared            0.99835      
                Log-lik.(n=502)  -2530.51541      

Count Ma

0

0.01

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 03:04:02 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                gdp_ma          1.19638   0.42663  2.8043 0.0052580 **       
                pop_ma          4.42850   1.80900  2.4480 0.0147384 *        
                idAUT           9.53275   3.26332  2.9212 0.0036598 **       
                idBEL          10.10187   3.25848  3.1002 0.0020536 **       
                idCAN           1.87798   2.78766  0.6737 0.5008565          
                idCHE           1.46153   2.95016  0.4954 0.6205508          
                idCHN          17.96739   3.92067  4.5827 5.930e-06 ***      
                idDEU           7.66581   3.70802  2.0674 0.0392625 *        
                idDNK          13.38047   3.40831  3.9258 9.975e-05 ***      
                idESP          11.07904   3.90752  2.8353 0.0047812 **       
                idFIN          -7.19090   4.78016 -1.5043 0.1331888          
                idFRA           6.64284   3.22912  2.0572 0.0402370 *        
                idGBR           4.72489   3.13620  1.5066 0.1326135          
                idISR          -3.55977   4.24765 -0.8381 0.4024369          
                idITA           9.12975   3.65516  2.4978 0.0128482 *        
                idJPN           7.81743   3.81254  2.0505 0.0408904 *        
                idKOR          15.77290   3.10725  5.0762 5.615e-07 ***      
                idNLD           7.60451   3.21710  2.3638 0.0185070 *        
                idNOR          48.00518   6.11187  7.8544 2.893e-14 ***      
                idRUS          27.53746   6.34461  4.3403 1.753e-05 ***      
                idSWE           1.18728   3.05058  0.3892 0.6973114          
                idUSA           2.13080   2.86046  0.7449 0.4567061          
                time1995       -1.61578   4.16021 -0.3884 0.6979080          
                time1996       -0.74308   4.23286 -0.1756 0.8607242          
                time1997        1.53331   4.18727  0.3662 0.7143978          
                time1998        5.71246   4.21391  1.3556 0.1758896          
                time1999        6.19293   4.27374  1.4491 0.1480051          
                time2000        6.08755   4.18852  1.4534 0.1468026          
                time2001       -0.65000   4.11216 -0.1581 0.8744728          
                time2002       -0.26985   3.97153 -0.0679 0.9458577          
                time2003        0.57549   4.04205  0.1424 0.8868454          
                time2004        5.08269   4.05312  1.2540 0.2104759          
                time2005        5.93604   4.20171  1.4128 0.1584047          
                time2006        8.92074   4.26500  2.0916 0.0370242 *        
                time2007       10.90787   4.31156  2.5299 0.0117441 *        
                time2008       12.89530   4.04777  3.1858 0.0015425 **       
                time2009        6.86351   4.01137  1.7110 0.0877568 .        
                time2010        1.65657   3.93281  0.4212 0.6737935          
                time2011       -7.56294   4.04995 -1.8674 0.0624839 .        
                time2012      -15.22958   3.96840 -3.8377 0.0001417 ***      
                time2013      -18.64094   3.99439 -4.6668 4.026e-06 ***      
                time2014      -20.35804   4.03886 -5.0405 6.702e-07 ***      
                time2015      -15.48267   4.10639 -3.7704 0.0001844 ***      
                time2016       -9.32009   4.11347 -2.2657 0.0239340 *        
                time2017       -6.31810   4.08976 -1.5449 0.1230727          
                time2018      -11.24745   4.00518 -2.8082 0.0051949 **       
                time2019       -6.88276   3.71392 -1.8532 0.0644932 .        
                iis52          66.75732   9.99253  6.6807 6.930e-11 ***      
                iis53          73.38919   9.97376  7.3582 8.718e-13 ***      
                iis54          89.92035   9.95511  9.0326 < 2.2e-16 ***      
                iis126         81.25130  10.01664  8.1116 4.644e-15 ***      
                iis127        118.06716  10.01846 11.7850 < 2.2e-16 ***      
                iis177        -29.08081  10.00174 -2.9076 0.0038197 **       
                iis178         82.60809   9.97743  8.2795 1.376e-15 ***      
                iis179         77.05900   9.95960  7.7372 6.567e-14 ***      
                iis180         88.55285   9.94687  8.9026 < 2.2e-16 ***      
                iis451         33.01933  10.89637  3.0303 0.0025817 **       
                fesisESP.2004  34.59911   6.73289  5.1388 4.104e-07 ***      
                fesisESP.2007 -39.90226   6.74596 -5.9150 6.510e-09 ***      
                fesisFIN.2001  17.63622   4.65112  3.7918 0.0001696 ***      
                fesisISR.2005  39.88140   6.68439  5.9663 4.868e-09 ***      
                fesisISR.2008 -42.82181   6.28298 -6.8155 2.978e-11 ***      
                fesisNOR.1998 -38.91558   6.37497 -6.1044 2.205e-09 ***      
                fesisNOR.2010 -16.69033   5.23454 -3.1885 0.0015284 **       
                fesisNOR.2015  29.50154   6.18495  4.7699 2.483e-06 ***      
                fesisRUS.2000 -21.48522   5.93990 -3.6171 0.0003311 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   57.854  1 2.820e-14 ***      
                Ljung-Box ARCH(1) 24.881  1 6.099e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     9.47399      
                R-squared            0.80624      
                Log-lik.(n=523)  -1885.09658      
0.05

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 03:04:01 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                gdp_ma          0.93150   0.42760  2.1784 0.0298967 *        
                pop_ma          4.20836   1.67457  2.5131 0.0123192 *        
                idAUT          -0.22889   5.12805 -0.0446 0.9644175          
                idBEL          -9.99135   9.13068 -1.0943 0.2744309          
                idCAN           1.58946   2.50870  0.6336 0.5266791          
                idCHE           0.98149   2.66955  0.3677 0.7132993          
                idCHN          19.51134   3.69554  5.2797 2.025e-07 ***      
                idDEU           6.89746   3.39135  2.0338 0.0425589 *        
                idDNK           9.50176   4.36390  2.1774 0.0299777 *        
                idESP          10.35287   3.51884  2.9421 0.0034295 **       
                idFIN          -8.22988   4.31908 -1.9055 0.0573614 .        
                idFRA           2.22977   3.29847  0.6760 0.4993912          
                idGBR           4.21219   2.84483  1.4806 0.1394064          
                idISR          -4.86988   2.80153 -1.7383 0.0828491 .        
                idITA           8.17931   3.35652  2.4368 0.0152061 *        
                idJPN           6.89299   3.49900  1.9700 0.0494580 *        
                idKOR          18.23636   3.75668  4.8544 1.673e-06 ***      
                idNLD           7.09223   2.92038  2.4285 0.0155544 *        
                idNOR          46.07503   5.50569  8.3686 7.571e-16 ***      
                idRUS          12.20905   7.79494  1.5663 0.1179928          
                idSWE           0.84158   2.75785  0.3052 0.7603881          
                idUSA           1.82433   2.57768  0.7077 0.4794761          
                time1995        2.33808   3.92455  0.5958 0.5516400          
                time1996        2.23430   3.94619  0.5662 0.5715484          
                time1997        4.42704   3.81534  1.1603 0.2465373          
                time1998        6.87622   3.88059  1.7720 0.0770850 .        
                time1999        6.88485   3.93002  1.7519 0.0804847 .        
                time2000        8.62241   3.87452  2.2254 0.0265526 *        
                time2001        0.71734   3.77674  0.1899 0.8494450          
                time2002        0.84887   3.63215  0.2337 0.8153178          
                time2003        0.52796   3.74216  0.1411 0.8878678          
                time2004        5.06855   3.75922  1.3483 0.1782466          
                time2005        7.84338   3.92074  2.0005 0.0460535 *        
                time2006        9.42078   3.99688  2.3570 0.0188528 *        
                time2007       11.22571   4.05177  2.7706 0.0058296 **       
                time2008       12.86195   3.74202  3.4372 0.0006429 ***      
                time2009        8.50611   3.68522  2.3082 0.0214464 *        
                time2010        2.23183   3.60488  0.6191 0.5361568          
                time2011       -6.64113   3.74964 -1.7711 0.0772202 .        
                time2012      -14.48082   3.65492 -3.9620 8.651e-05 ***      
                time2013      -17.92779   3.67458 -4.8789 1.488e-06 ***      
                time2014      -19.56727   3.72347 -5.2551 2.298e-07 ***      
                time2015      -14.61089   3.79404 -3.8510 0.0001348 ***      
                time2016       -8.39501   3.80710 -2.2051 0.0279570 *        
                time2017       -5.37490   3.78818 -1.4189 0.1566383          
                time2018      -10.34688   3.70666 -2.7914 0.0054729 **       
                time2019       -6.58687   3.38221 -1.9475 0.0521015 .        
                iis52          63.96633   8.98346  7.1205 4.334e-12 ***      
                iis53          70.64481   8.95007  7.8932 2.304e-14 ***      
                iis54          89.10454   8.94313  9.9635 < 2.2e-16 ***      
                iis126         78.98867   9.01249  8.7644 < 2.2e-16 ***      
                iis127        116.43757   8.99926 12.9386 < 2.2e-16 ***      
                iis177        -27.25767   9.46603 -2.8795 0.0041744 **       
                iis178         84.43178   9.43456  8.9492 < 2.2e-16 ***      
                iis179         80.59956   9.42423  8.5524 < 2.2e-16 ***      
                iis180         92.60217   9.40960  9.8412 < 2.2e-16 ***      
                iis181        -20.35411   9.40413 -2.1644 0.0309652 *        
                iis309         37.49005   8.93593  4.1954 3.288e-05 ***      
                iis310         32.71183   8.94169  3.6583 0.0002842 ***      
                iis311         55.81004   8.95367  6.2332 1.060e-09 ***      
                fesisAUT.1999  10.92914   4.81575  2.2695 0.0237172 *        
                fesisBEL.1996  20.61653   8.97115  2.2981 0.0220185 *        
                fesisDNK.2006  35.12961   6.18386  5.6809 2.422e-08 ***      
                fesisDNK.2009 -36.44830   5.71322 -6.3796 4.449e-10 ***      
                fesisESP.2004  35.85304   6.05148  5.9247 6.263e-09 ***      
                fesisESP.2007 -40.92789   6.08966 -6.7209 5.534e-11 ***      
                fesisFIN.2001  18.36598   4.21919  4.3530 1.667e-05 ***      
                fesisFRA.2008   7.89045   3.53673  2.2310 0.0261777 *        
                fesisKOR.2003  27.03968   6.94282  3.8946 0.0001134 ***      
                fesisKOR.2005 -34.47728   6.57057 -5.2472 2.392e-07 ***      
                fesisNOR.1998 -37.19738   5.74024 -6.4801 2.430e-10 ***      
                fesisNOR.2010 -16.60063   4.70743 -3.5265 0.0004647 ***      
                fesisNOR.2015  29.36987   5.54672  5.2950 1.872e-07 ***      
                fesisRUS.1997  31.97936   8.26460  3.8694 0.0001254 ***      
                fesisRUS.2000 -36.30060   6.66408 -5.4472 8.474e-08 ***      
                fesisRUS.2007 -21.03472   6.09602 -3.4506 0.0006127 ***      
                fesisRUS.2010  23.84964   5.82384  4.0952 5.010e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   33.5778  1 6.847e-09 ***      
                Ljung-Box ARCH(1)  2.1203  1    0.1454          
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.49211      
                R-squared            0.84807      
                Log-lik.(n=523)  -1822.37364      

1

0.01

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 03:04:00 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                              coef std.error  t-stat   p-value          
                ar1        0.43034   0.03688 11.6688 < 2.2e-16 ***      
                gdp_ma     0.26795   0.38005  0.7051 0.4811502          
                pop_ma     2.70732   1.58645  1.7065 0.0886191 .        
                idAUT      3.64833   3.04942  1.1964 0.2321877          
                idBEL      7.36712   3.06769  2.4015 0.0167429 *        
                idCAN      0.74300   2.62337  0.2832 0.7771405          
                idCHE      0.83056   2.74833  0.3022 0.7626385          
                idCHN     12.38505   3.70306  3.3445 0.0008951 ***      
                idDEU      4.10909   3.41165  1.2044 0.2290742          
                idDNK      6.41461   3.27179  1.9606 0.0505610 .        
                idESP      5.19996   2.90731  1.7886 0.0743728 .        
                idFIN      3.96670   3.11237  1.2745 0.2031631          
                idFRA      3.46021   2.99466  1.1555 0.2485318          
                idGBR      2.60881   2.90832  0.8970 0.3702034          
                idISR     -2.93250   2.83986 -1.0326 0.3023509          
                idITA      4.44051   3.36355  1.3202 0.1874631          
                idJPN      3.44976   3.50675  0.9838 0.3257814          
                idKOR      8.72879   2.96585  2.9431 0.0034222 **       
                idNLD      2.88053   2.99802  0.9608 0.3371778          
                idNOR      5.52347   2.76873  1.9949 0.0466682 *        
                idRUS      4.66755   3.56353  1.3098 0.1909462          
                idSWE      0.38384   2.83502  0.1354 0.8923638          
                idUSA      1.32453   2.69135  0.4921 0.6228652          
                time1996   2.49175   3.80103  0.6555 0.5124601          
                time1997   4.12663   3.84176  1.0742 0.2833465          
                time1998   5.42915   3.78734  1.4335 0.1524292          
                time1999   7.13062   3.87527  1.8400 0.0664402 .        
                time2000   3.72190   3.88370  0.9583 0.3384211          
                time2001  -1.69433   3.73642 -0.4535 0.6504403          
                time2002   0.64443   3.60945  0.1785 0.8583822          
                time2003   2.21916   3.67114  0.6045 0.5458324          
                time2004   6.07964   3.68490  1.6499 0.0996844 .        
                time2005   6.88957   3.86809  1.7811 0.0755843 .        
                time2006   8.28041   3.92679  2.1087 0.0355378 *        
                time2007   6.45180   3.90648  1.6516 0.0993401 .        
                time2008   6.55004   3.66425  1.7876 0.0745398 .        
                time2009   1.41006   3.62264  0.3892 0.6972908          
                time2010  -1.66443   3.55929 -0.4676 0.6402826          
                time2011  -7.16288   3.66157 -1.9562 0.0510731 .        
                time2012 -12.08831   3.60510 -3.3531 0.0008685 ***      
                time2013 -11.96060   3.66940 -3.2595 0.0012029 **       
                time2014 -11.91441   3.73460 -3.1903 0.0015235 **       
                time2015  -4.79197   3.78411 -1.2663 0.2060638          
                time2016  -1.31714   3.74405 -0.3518 0.7251600          
                time2017  -1.00909   3.69342 -0.2732 0.7848185          
                time2018  -7.42371   3.61137 -2.0556 0.0404087 *        
                time2019  -2.94839   3.36838 -0.8753 0.3818835          
                iis29     32.15972   9.18762  3.5003 0.0005123 ***      
                iis49     70.88590   9.27742  7.6407 1.374e-13 ***      
                iis50     41.63992   9.55512  4.3579 1.638e-05 ***      
                iis51     57.99093   9.56680  6.0617 2.909e-09 ***      
                iis52    -63.84197   9.80628 -6.5103 2.058e-10 ***      
                iis121    81.64691   9.69956  8.4176 5.518e-16 ***      
                iis122   -46.06576  10.20324 -4.5148 8.156e-06 ***      
                iis169   -27.44821   9.27366 -2.9598 0.0032454 **       
                iis170    94.88955   9.35544 10.1427 < 2.2e-16 ***      
                iis171    43.29165   9.68682  4.4691 1.001e-05 ***      
                iis172    54.39936   9.66385  5.6292 3.239e-08 ***      
                iis173   -58.90627   9.80046 -6.0106 3.897e-09 ***      
                iis179    41.29813   9.22748  4.4756 9.729e-06 ***      
                iis201    42.35389   9.36857  4.5209 7.937e-06 ***      
                iis296    36.20090   9.21002  3.9306 9.845e-05 ***      
                iis298    43.24822   9.26172  4.6696 4.020e-06 ***      
                iis432    47.86392   9.59051  4.9908 8.694e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                     Chi-sq df  p-value          
                Ljung-Box AR(1)    0.090229  1   0.7639          
                Ljung-Box ARCH(1) 26.518640  1 2.61e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.76086      
                R-squared            0.82807      
                Log-lik.(n=502)  -1769.79468      
0.05

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 03:04:01 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.434290   0.035683 12.1709 < 2.2e-16 ***      
                gdp_ma          0.450167   0.368022  1.2232 0.2219202          
                pop_ma          1.172820   1.528371  0.7674 0.4432838          
                idAUT           2.458006   2.831209  0.8682 0.3857775          
                idBEL           7.572500   2.872451  2.6363 0.0086854 **       
                idCAN           0.284801   2.406388  0.1184 0.9058439          
                idCHE           0.144217   2.532961  0.0569 0.9546224          
                idCHN           9.800675   3.523506  2.7815 0.0056480 **       
                idDEU           2.346880   3.193140  0.7350 0.4627541          
                idDNK           4.874238   3.039946  1.6034 0.1095797          
                idESP          13.366661   3.288266  4.0650 5.711e-05 ***      
                idFIN           2.444263   2.896290  0.8439 0.3991773          
                idFRA           2.345996   2.778532  0.8443 0.3989537          
                idGBR           1.545687   2.692656  0.5740 0.5662416          
                idISR           0.167851   3.745532  0.0448 0.9642767          
                idITA           3.051223   3.144835  0.9702 0.3324744          
                idJPN           1.746964   3.287089  0.5315 0.5953723          
                idKOR           7.150083   2.760976  2.5897 0.0099314 **       
                idNLD           1.626927   2.781760  0.5849 0.5589511          
                idNOR          24.541415   6.399217  3.8351 0.0001443 ***      
                idRUS           4.951753   3.362114  1.4728 0.1415324          
                idSWE          -0.700100   2.619568 -0.2673 0.7893986          
                idUSA           0.624422   2.474975  0.2523 0.8009338          
                time1996        1.923122   3.556429  0.5407 0.5889626          
                time1997        3.501231   3.591203  0.9749 0.3301337          
                time1998        7.563365   3.574101  2.1162 0.0349041 *        
                time1999        7.601678   3.641023  2.0878 0.0374037 *        
                time2000        6.039418   3.652588  1.6535 0.0989649 .        
                time2001        0.911600   3.525701  0.2586 0.7960993          
                time2002        1.551548   3.368104  0.4607 0.6452754          
                time2003        3.046991   3.430641  0.8882 0.3749450          
                time2004        8.674250   3.490733  2.4849 0.0133359 *        
                time2005        7.859768   3.616031  2.1736 0.0302797 *        
                time2006        7.436077   3.709007  2.0049 0.0456018 *        
                time2007        9.947939   3.705206  2.6849 0.0075360 **       
                time2008        8.729231   3.469445  2.5160 0.0122308 *        
                time2009        3.614499   3.426151  1.0550 0.2920284          
                time2010        0.405069   3.362266  0.1205 0.9041630          
                time2011       -5.364764   3.463388 -1.5490 0.1221174          
                time2012      -10.132604   3.401058 -2.9793 0.0030529 **       
                time2013       -9.884717   3.459827 -2.8570 0.0044837 **       
                time2014       -9.862990   3.521562 -2.8007 0.0053279 **       
                time2015       -2.776704   3.568833 -0.7780 0.4369708          
                time2016        0.603618   3.533501  0.1708 0.8644398          
                time2017        0.821645   3.488352  0.2355 0.8139019          
                time2018       -5.672671   3.409485 -1.6638 0.0968811 .        
                time2019       -0.865722   3.165229 -0.2735 0.7845923          
                iis29          30.862453   8.409115  3.6701 0.0002728 ***      
                iis49          71.142589   8.492318  8.3773 7.705e-16 ***      
                iis50          41.647583   8.807099  4.7289 3.064e-06 ***      
                iis51          55.086877   8.830091  6.2385 1.056e-09 ***      
                iis52         -65.163308   9.034359 -7.2128 2.482e-12 ***      
                iis57         -29.874352   8.428761 -3.5443 0.0004367 ***      
                iis121         84.137326   8.954088  9.3965 < 2.2e-16 ***      
                iis122        -43.537477   9.461150 -4.6017 5.519e-06 ***      
                iis169        -25.180050   8.484633 -2.9677 0.0031673 **       
                iis170         97.277432   8.555446 11.3702 < 2.2e-16 ***      
                iis171         42.348847   8.944487  4.7346 2.982e-06 ***      
                iis172         55.055154   8.880094  6.1998 1.324e-09 ***      
                iis173        -60.062223   9.048407 -6.6379 9.589e-11 ***      
                iis179         43.684990   8.435610  5.1786 3.437e-07 ***      
                iis198        -40.202589   8.656834 -4.6440 4.544e-06 ***      
                iis201         33.557325   8.750830  3.8348 0.0001444 ***      
                iis409        -30.287462   8.577719 -3.5309 0.0004587 ***      
                iis432         48.401070   8.783417  5.5105 6.168e-08 ***      
                iis435        -35.370732   8.578885 -4.1230 4.488e-05 ***      
                iis442        -28.754464   8.514187 -3.3772 0.0007986 ***      
                fesisESP.2007 -13.017641   3.765893 -3.4567 0.0006011 ***      
                fesisISR.2005  29.014650   5.810973  4.9931 8.645e-07 ***      
                fesisISR.2008 -34.278802   5.343882 -6.4146 3.720e-10 ***      
                fesisNOR.1998 -20.143785   6.335657 -3.1794 0.0015821 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value        
                Ljung-Box AR(1)   0.64836  1 0.42070        
                Ljung-Box ARCH(1) 4.62517  1 0.03151 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.00540      
                R-squared            0.85874      
                Log-lik.(n=502)  -1721.02544      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 03:02:50 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.712273   0.117380  14.5874 < 2.2e-16 ***      
                lpop           -1.613487   0.317762  -5.0777 5.596e-07 ***      
                idAUT           0.928493   0.263899   3.5184 0.0004782 ***      
                idBEL           0.438703   0.200706   2.1858 0.0293429 *        
                idCAN           1.354907   0.156700   8.6465 < 2.2e-16 ***      
                idCHE           0.292939   0.293442   0.9983 0.3186763          
                idCHN           1.879315   1.227985   1.5304 0.1266159          
                idDEU           3.593361   0.421582   8.5235 2.336e-16 ***      
                idDNK          -2.635042   0.435057  -6.0568 2.925e-09 ***      
                idESP           1.072767   0.269868   3.9752 8.186e-05 ***      
                idFIN           0.643807   0.388711   1.6563 0.0983630 .        
                idFRA           2.483534   0.353916   7.0173 8.319e-12 ***      
                idGBR           2.507038   0.351407   7.1343 3.892e-12 ***      
                idISR          -1.331510   0.309707  -4.2993 2.101e-05 ***      
                idITA           1.421493   0.338540   4.1989 3.232e-05 ***      
                idJPN          -3.575871   0.686695  -5.2074 2.915e-07 ***      
                idKOR          -8.546525   0.701468 -12.1838 < 2.2e-16 ***      
                idNLD           1.144292   0.104225  10.9791 < 2.2e-16 ***      
                idNOR          -4.441183   0.501027  -8.8642 < 2.2e-16 ***      
                idRUS          -3.708498   0.603114  -6.1489 1.717e-09 ***      
                idSWE          -3.271614   0.319556 -10.2380 < 2.2e-16 ***      
                idUSA           3.320851   0.778778   4.2642 2.444e-05 ***      
                time1995      -17.416814   4.867799  -3.5780 0.0003837 ***      
                time1996      -17.216500   4.869390  -3.5357 0.0004487 ***      
                time1997      -17.186291   4.869086  -3.5297 0.0004587 ***      
                time1998      -17.101126   4.870967  -3.5108 0.0004916 ***      
                time1999      -16.940256   4.873477  -3.4760 0.0005581 ***      
                time2000      -16.857667   4.876460  -3.4569 0.0005980 ***      
                time2001      -16.743234   4.878534  -3.4320 0.0006542 ***      
                time2002      -16.733934   4.879491  -3.4294 0.0006603 ***      
                time2003      -16.667484   4.881253  -3.4146 0.0006964 ***      
                time2004      -16.598064   4.883345  -3.3989 0.0007365 ***      
                time2005      -16.506840   4.885017  -3.3791 0.0007903 ***      
                time2006      -16.378362   4.888122  -3.3506 0.0008738 ***      
                time2007      -16.157623   4.891466  -3.3032 0.0010317 **       
                time2008      -15.981085   4.893779  -3.2656 0.0011754 **       
                time2009      -15.746692   4.893562  -3.2178 0.0013845 **       
                time2010      -15.685243   4.895991  -3.2037 0.0014527 **       
                time2011      -15.679091   4.898028  -3.2011 0.0014655 **       
                time2012      -15.755249   4.899945  -3.2154 0.0013961 **       
                time2013      -15.912046   4.901978  -3.2460 0.0012572 **       
                time2014      -15.998753   4.904191  -3.2623 0.0011890 **       
                time2015      -16.129794   4.906371  -3.2875 0.0010896 **       
                time2016      -16.129086   4.908101  -3.2862 0.0010945 **       
                time2017      -16.052855   4.910317  -3.2692 0.0011608 **       
                time2018      -16.093537   4.912325  -3.2762 0.0011333 **       
                time2019      -16.227749   4.914079  -3.3023 0.0010350 **       
                iis52          -0.879105   0.183681  -4.7860 2.308e-06 ***      
                iis177         -0.553019   0.188502  -2.9338 0.0035193 **       
                iis178         -0.988143   0.187970  -5.2569 2.264e-07 ***      
                iis208         -0.526845   0.188770  -2.7909 0.0054781 **       
                iis226          0.774044   0.200629   3.8581 0.0001309 ***      
                iis452          0.665783   0.188931   3.5239 0.0004685 ***      
                iis474          1.235226   0.184956   6.6785 7.106e-11 ***      
                iis475          1.380323   0.185355   7.4469 4.881e-13 ***      
                iis476          1.325715   0.184795   7.1740 3.002e-12 ***      
                iis477          1.001056   0.184697   5.4200 9.716e-08 ***      
                iis478          0.874730   0.184356   4.7448 2.804e-06 ***      
                iis479          0.671405   0.184221   3.6446 0.0002990 ***      
                iis480          0.582384   0.184242   3.1610 0.0016781 **       
                fesisAUS.2009  -0.378315   0.079408  -4.7642 2.559e-06 ***      
                fesisCAN.2007  -0.325784   0.074016  -4.4015 1.343e-05 ***      
                fesisCHE.2003  -0.484035   0.078285  -6.1830 1.408e-09 ***      
                fesisCHN.2002   0.475262   0.121424   3.9141 0.0001047 ***      
                fesisCHN.2016   0.554247   0.122871   4.5108 8.243e-06 ***      
                fesisDNK.2007   0.767157   0.076742   9.9966 < 2.2e-16 ***      
                fesisESP.2005   0.861512   0.077817  11.0711 < 2.2e-16 ***      
                fesisFIN.2000  -0.307657   0.099663  -3.0870 0.0021463 **       
                fesisITA.2006   0.377182   0.076285   4.9444 1.079e-06 ***      
                fesisKOR.2004   0.853335   0.083492  10.2206 < 2.2e-16 ***      
                fesisRUS.2007  -0.881849   0.087796 -10.0442 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   53.457  1 2.643e-13 ***      
                Ljung-Box ARCH(1) 31.142  1 2.398e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.17457      
                R-squared          0.98855      
                Log-lik.(n=523)  206.26510      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 03:02:54 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.643099   0.116652  14.0854 < 2.2e-16 ***      
                lpop           -0.693598   0.371469  -1.8672 0.0625700 .        
                idAUT           1.635677   0.308313   5.3052 1.821e-07 ***      
                idBEL           0.545772   0.276879   1.9712 0.0493588 *        
                idCAN           0.935150   0.178176   5.2485 2.435e-07 ***      
                idCHE           1.135162   0.345907   3.2817 0.0011176 **       
                idCHN          -1.718550   1.463237  -1.1745 0.2408632          
                idDEU           2.345422   0.500677   4.6845 3.791e-06 ***      
                idDNK          -1.879006   0.508770  -3.6932 0.0002505 ***      
                idESP           0.353769   0.305327   1.1587 0.2472522          
                idFIN           1.712095   0.456807   3.7480 0.0002031 ***      
                idFRA           1.354812   0.417734   3.2432 0.0012757 **       
                idGBR           1.487030   0.412839   3.6020 0.0003534 ***      
                idISR          -0.343831   0.385591  -0.8917 0.3730629          
                idITA           0.442250   0.396316   1.1159 0.2650983          
                idJPN          -4.866577   0.761888  -6.3875 4.459e-10 ***      
                idKOR          -8.887739   0.711080 -12.4989 < 2.2e-16 ***      
                idNLD           1.274676   0.106257  11.9961 < 2.2e-16 ***      
                idNOR          -2.981897   0.577428  -5.1641 3.731e-07 ***      
                idRUS          -6.092315   0.691003  -8.8166 < 2.2e-16 ***      
                idSWE          -2.494025   0.351098  -7.1035 5.206e-12 ***      
                idUSA           1.001347   0.932972   1.0733 0.2837552          
                time1995      -30.830177   5.779372  -5.3345 1.566e-07 ***      
                time1996      -30.701164   5.781619  -5.3101 1.776e-07 ***      
                time1997      -30.675337   5.781773  -5.3055 1.818e-07 ***      
                time1998      -30.606492   5.784327  -5.2913 1.956e-07 ***      
                time1999      -30.467282   5.786875  -5.2649 2.239e-07 ***      
                time2000      -30.379516   5.790118  -5.2468 2.455e-07 ***      
                time2001      -30.257817   5.792598  -5.2235 2.763e-07 ***      
                time2002      -30.263117   5.793992  -5.2232 2.768e-07 ***      
                time2003      -30.221976   5.795690  -5.2146 2.892e-07 ***      
                time2004      -30.096706   5.798317  -5.1906 3.265e-07 ***      
                time2005      -30.029294   5.800000  -5.1775 3.488e-07 ***      
                time2006      -29.896785   5.803313  -5.1517 3.971e-07 ***      
                time2007      -29.676948   5.805971  -5.1115 4.856e-07 ***      
                time2008      -29.543563   5.807707  -5.0870 5.485e-07 ***      
                time2009      -29.282645   5.808660  -5.0412 6.879e-07 ***      
                time2010      -29.230974   5.811365  -5.0300 7.270e-07 ***      
                time2011      -29.213687   5.810826  -5.0275 7.360e-07 ***      
                time2012      -29.297720   5.813188  -5.0399 6.924e-07 ***      
                time2013      -29.460423   5.814599  -5.0666 6.067e-07 ***      
                time2014      -29.555310   5.817171  -5.0807 5.658e-07 ***      
                time2015      -29.694073   5.819662  -5.1024 5.081e-07 ***      
                time2016      -29.712060   5.821706  -5.1037 5.048e-07 ***      
                time2017      -29.630457   5.824171  -5.0875 5.471e-07 ***      
                time2018      -29.686023   5.826437  -5.0951 5.269e-07 ***      
                time2019      -29.818926   5.828444  -5.1161 4.745e-07 ***      
                iis52          -0.516953   0.231713  -2.2310 0.0262051 *        
                iis127         -0.505287   0.177201  -2.8515 0.0045652 **       
                iis178         -0.550644   0.200181  -2.7507 0.0062022 **       
                iis188          0.597510   0.171747   3.4790 0.0005556 ***      
                iis189          0.819721   0.172017   4.7653 2.598e-06 ***      
                iis190          0.728533   0.171917   4.2377 2.775e-05 ***      
                iis191          0.853472   0.172005   4.9619 1.014e-06 ***      
                iis192          0.815039   0.172066   4.7368 2.971e-06 ***      
                iis193          0.582773   0.172212   3.3840 0.0007811 ***      
                iis194          0.543692   0.172318   3.1552 0.0017189 **       
                iis195          0.610668   0.172347   3.5433 0.0004394 ***      
                iis196          0.670419   0.172324   3.8904 0.0001162 ***      
                iis197          0.909597   0.172185   5.2827 2.044e-07 ***      
                iis198          0.712121   0.172180   4.1359 4.268e-05 ***      
                iis199          0.944335   0.172196   5.4841 7.173e-08 ***      
                iis200          0.843041   0.172221   4.8951 1.401e-06 ***      
                iis208         -0.506455   0.171893  -2.9463 0.0033937 **       
                iis226          0.684449   0.183364   3.7327 0.0002154 ***      
                iis312          0.555800   0.170496   3.2599 0.0012048 **       
                iis374         -0.495521   0.175621  -2.8215 0.0050052 **       
                iis449          0.560869   0.182381   3.0753 0.0022399 **       
                iis450          0.869500   0.183483   4.7388 2.942e-06 ***      
                iis451          0.544002   0.183234   2.9689 0.0031591 **       
                iis452          1.420936   0.185229   7.6712 1.190e-13 ***      
                iis453          1.139898   0.183231   6.2211 1.190e-09 ***      
                iis454          0.966743   0.179987   5.3712 1.295e-07 ***      
                iis455          0.740699   0.178039   4.1603 3.853e-05 ***      
                iis456          0.970607   0.175071   5.5441 5.218e-08 ***      
                iis457          0.798269   0.172769   4.6204 5.094e-06 ***      
                iis458          0.415330   0.171527   2.4214 0.0158826 *        
                iis459          0.888932   0.170628   5.2098 2.963e-07 ***      
                iis460          0.726816   0.169799   4.2804 2.311e-05 ***      
                iis474          1.135812   0.169389   6.7053 6.467e-11 ***      
                iis475          1.351830   0.169163   7.9913 1.288e-14 ***      
                iis476          1.303170   0.168451   7.7362 7.617e-14 ***      
                iis477          0.997241   0.168055   5.9340 6.169e-09 ***      
                iis478          0.894736   0.167989   5.3262 1.635e-07 ***      
                iis479          0.687976   0.167846   4.0989 4.981e-05 ***      
                iis480          0.590216   0.167882   3.5157 0.0004862 ***      
                fesisAUS.2009  -0.476393   0.078552  -6.0647 2.939e-09 ***      
                fesisBEL.1997   0.395182   0.167950   2.3530 0.0190820 *        
                fesisCAN.2007  -0.372683   0.069481  -5.3639 1.345e-07 ***      
                fesisCHE.2003  -0.510340   0.072105  -7.0778 6.148e-12 ***      
                fesisCHN.2002   0.451839   0.118208   3.8224 0.0001521 ***      
                fesisCHN.2016   0.605322   0.115417   5.2446 2.482e-07 ***      
                fesisDNK.1998   0.489528   0.128315   3.8150 0.0001565 ***      
                fesisESP.2005   0.817286   0.072508  11.2716 < 2.2e-16 ***      
                fesisFIN.2000  -0.279491   0.091126  -3.0671 0.0023006 **       
                fesisFRA.2012   0.288025   0.071006   4.0564 5.938e-05 ***      
                fesisISR.2011  -0.271718   0.091329  -2.9751 0.0030968 **       
                fesisITA.2006   0.389585   0.069963   5.5685 4.582e-08 ***      
                fesisKOR.2003   0.664357   0.085659   7.7558 6.654e-14 ***      
                fesisKOR.2013   0.383407   0.082822   4.6293 4.891e-06 ***      
                fesisNOR.2013  -0.331253   0.076453  -4.3328 1.842e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   32.115  1 1.453e-08 ***      
                Ljung-Box ARCH(1)  8.687  1  0.003205 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.15870      
                R-squared          0.99116      
                Log-lik.(n=523)  271.08915      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 03:03:53 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.603629  0.029842 20.2274 < 2.2e-16 ***      
                lgdp           0.881811  0.091625  9.6242 < 2.2e-16 ***      
                lpop          -1.541877  0.312613 -4.9322 1.155e-06 ***      
                idAUT         -0.062501  0.278669 -0.2243 0.8226394          
                idBEL         -0.051066  0.208697 -0.2447 0.8068124          
                idCAN          0.901218  0.151283  5.9572 5.268e-09 ***      
                idCHE         -0.700162  0.299949 -2.3343 0.0200317 *        
                idCHN          4.195929  1.221062  3.4363 0.0006459 ***      
                idDEU          2.583963  0.432286  5.9774 4.696e-09 ***      
                idDNK         -2.751777  0.447422 -6.1503 1.741e-09 ***      
                idESP          1.197572  0.237408  5.0444 6.672e-07 ***      
                idFIN         -0.637074  0.406722 -1.5664 0.1179837          
                idFRA          1.987675  0.350932  5.6640 2.678e-08 ***      
                idGBR          1.993938  0.344761  5.7835 1.391e-08 ***      
                idISR         -1.433836  0.351892 -4.0746 5.470e-05 ***      
                idITA          1.611699  0.320242  5.0328 7.066e-07 ***      
                idJPN         -0.927599  0.589395 -1.5738 0.1162503          
                idKOR         -3.637678  0.535731 -6.7901 3.651e-11 ***      
                idNLD          0.459203  0.102941  4.4608 1.039e-05 ***      
                idNOR         -3.138992  0.501041 -6.2649 8.908e-10 ***      
                idRUS         -0.393732  0.586240 -0.6716 0.5021774          
                idSWE         -1.553230  0.305605 -5.0825 5.524e-07 ***      
                idUSA          3.291867  0.796102  4.1350 4.254e-05 ***      
                time1996       2.768914  4.922078  0.5625 0.5740286          
                time1997       2.663502  4.923006  0.5410 0.5887602          
                time1998       2.755642  4.923018  0.5597 0.5759379          
                time1999       2.860247  4.925686  0.5807 0.5617542          
                time2000       2.848434  4.927669  0.5780 0.5635275          
                time2001       2.897307  4.929489  0.5878 0.5570023          
                time2002       2.832897  4.931215  0.5745 0.5659355          
                time2003       2.903064  4.932622  0.5885 0.5564701          
                time2004       2.955520  4.934551  0.5989 0.5495192          
                time2005       2.995929  4.936813  0.6069 0.5442610          
                time2006       3.043915  4.937939  0.6164 0.5379275          
                time2007       3.176164  4.941261  0.6428 0.5206997          
                time2008       3.210655  4.943478  0.6495 0.5163724          
                time2009       3.306989  4.943939  0.6689 0.5039123          
                time2010       3.302461  4.946064  0.6677 0.5046792          
                time2011       3.264057  4.947894  0.6597 0.5098011          
                time2012       3.173215  4.949808  0.6411 0.5218063          
                time2013       3.067893  4.951837  0.6195 0.5358778          
                time2014       3.084323  4.953992  0.6226 0.5338750          
                time2015       3.007752  4.956091  0.6069 0.5442444          
                time2016       3.117723  4.958269  0.6288 0.5298118          
                time2017       3.183076  4.960280  0.6417 0.5213945          
                time2018       3.093744  4.962102  0.6235 0.5332965          
                time2019       3.008458  4.963824  0.6061 0.5447771          
                iis27         -0.503691  0.168039 -2.9975 0.0028768 **       
                iis49         -0.741396  0.169099 -4.3844 1.457e-05 ***      
                iis50          0.793645  0.170645  4.6509 4.381e-06 ***      
                iis56         -0.628565  0.168566 -3.7289 0.0002175 ***      
                iis72         -0.567855  0.168238 -3.3753 0.0008029 ***      
                iis121        -0.547736  0.175237 -3.1257 0.0018917 **       
                iis171         0.998136  0.180556  5.5281 5.563e-08 ***      
                iis199        -0.498368  0.177132 -2.8135 0.0051200 **       
                iis433         0.774197  0.173020  4.4746 9.766e-06 ***      
                fesisDNK.1998  0.415566  0.135280  3.0719 0.0022593 **       
                fesisDNK.2005  0.411449  0.081690  5.0367 6.929e-07 ***      
                fesisESP.2003  0.386967  0.084179  4.5969 5.614e-06 ***      
                fesisISR.2006  0.504454  0.113119  4.4595 1.045e-05 ***      
                fesisISR.2009 -0.410012  0.110087 -3.7244 0.0002213 ***      
                fesisRUS.2007 -0.485306  0.083069 -5.8422 1.005e-08 ***      
                fesisSWE.1998 -0.573802  0.126221 -4.5460 7.079e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value         
                Ljung-Box AR(1)   2.9549  1 0.08562 .       
                Ljung-Box ARCH(1) 6.9418  1 0.00842 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.15993      
                R-squared          0.98999      
                Log-lik.(n=502)  239.36505      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 03:03:51 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.637187  0.029026 21.9521 < 2.2e-16 ***      
                lgdp           0.852468  0.086961  9.8029 < 2.2e-16 ***      
                lpop          -1.302878  0.290148 -4.4904 9.187e-06 ***      
                idAUT          0.136958  0.254675  0.5378 0.5910167          
                idBEL         -0.085134  0.204600 -0.4161 0.6775477          
                idCAN          0.769001  0.140838  5.4602 8.135e-08 ***      
                idCHE         -0.469122  0.275129 -1.7051 0.0889114 .        
                idCHN          3.699395  1.131094  3.2706 0.0011611 **       
                idDEU          2.190428  0.402920  5.4364 9.218e-08 ***      
                idDNK         -2.051628  0.402020 -5.1033 5.057e-07 ***      
                idESP          1.114296  0.221816  5.0235 7.504e-07 ***      
                idFIN         -0.327060  0.372741 -0.8774 0.3807440          
                idFRA          1.686735  0.326542  5.1654 3.706e-07 ***      
                idGBR          1.702842  0.321065  5.3037 1.835e-07 ***      
                idISR         -1.127666  0.327397 -3.4443 0.0006297 ***      
                idITA          1.359652  0.297174  4.5753 6.262e-06 ***      
                idJPN         -1.308868  0.539293 -2.4270 0.0156417 *        
                idKOR         -3.716016  0.499115 -7.4452 5.494e-13 ***      
                idNLD          0.486343  0.094048  5.1712 3.600e-07 ***      
                idNOR         -2.769286  0.467334 -5.9257 6.464e-09 ***      
                idRUS         -0.856011  0.535238 -1.5993 0.1105005          
                idSWE         -1.331889  0.283516 -4.6978 3.564e-06 ***      
                idUSA          2.618281  0.735710  3.5588 0.0004148 ***      
                time1996      -0.598444  4.498349 -0.1330 0.8942281          
                time1997      -0.637652  4.499896 -0.1417 0.8873816          
                time1998      -0.556044  4.499328 -0.1236 0.9017037          
                time1999      -0.449418  4.501833 -0.0998 0.9205266          
                time2000      -0.465916  4.503708 -0.1035 0.9176538          
                time2001      -0.435082  4.505558 -0.0966 0.9231172          
                time2002      -0.487276  4.507271 -0.1081 0.9139607          
                time2003      -0.407616  4.509056 -0.0904 0.9280126          
                time2004      -0.371688  4.510315 -0.0824 0.9343611          
                time2005      -0.312997  4.512244 -0.0694 0.9447310          
                time2006      -0.293850  4.513484 -0.0651 0.9481214          
                time2007      -0.177668  4.516652 -0.0393 0.9686410          
                time2008      -0.153158  4.518868 -0.0339 0.9729785          
                time2009      -0.064939  4.519494 -0.0144 0.9885426          
                time2010      -0.075255  4.521522 -0.0166 0.9867286          
                time2011      -0.117925  4.523254 -0.0261 0.9792132          
                time2012      -0.211315  4.525032 -0.0467 0.9627751          
                time2013      -0.295382  4.526575 -0.0653 0.9480017          
                time2014      -0.295412  4.528675 -0.0652 0.9480205          
                time2015      -0.351412  4.530665 -0.0776 0.9382124          
                time2016      -0.258327  4.532423 -0.0570 0.9545759          
                time2017      -0.195525  4.534279 -0.0431 0.9656250          
                time2018      -0.289331  4.536009 -0.0638 0.9491714          
                time2019      -0.371598  4.537537 -0.0819 0.9347697          
                iis27         -0.521385  0.151621 -3.4387 0.0006425 ***      
                iis31         -0.430711  0.151501 -2.8430 0.0046868 **       
                iis49         -0.484245  0.172094 -2.8138 0.0051243 **       
                iis50          0.997447  0.174136  5.7280 1.934e-08 ***      
                iis56         -0.722891  0.153282 -4.7161 3.273e-06 ***      
                iis58         -0.565802  0.152526 -3.7095 0.0002354 ***      
                iis72         -0.638253  0.152418 -4.1875 3.435e-05 ***      
                iis104        -0.517730  0.151769 -3.4113 0.0007089 ***      
                iis121        -0.874587  0.210378 -4.1572 3.903e-05 ***      
                iis170        -0.481819  0.159726 -3.0165 0.0027115 **       
                iis171         1.071256  0.161024  6.6528 8.945e-11 ***      
                iis194        -0.364945  0.162838 -2.2411 0.0255357 *        
                iis199        -0.584474  0.162216 -3.6031 0.0003520 ***      
                iis221        -0.412646  0.151493 -2.7239 0.0067201 **       
                iis407         0.453731  0.153372  2.9584 0.0032667 **       
                iis411         0.383885  0.151879  2.5276 0.0118496 *        
                iis414         0.339635  0.151971  2.2349 0.0259493 *        
                iis424        -0.424667  0.151389 -2.8051 0.0052621 **       
                iis431         0.388018  0.159438  2.4337 0.0153610 *        
                iis433         0.893875  0.158915  5.6248 3.385e-08 ***      
                iis437         0.351360  0.158463  2.2173 0.0271348 *        
                iis440         0.385610  0.160083  2.4088 0.0164317 *        
                iis450        -0.409134  0.153754 -2.6610 0.0080891 **       
                fesisBEL.2001  0.240989  0.093516  2.5770 0.0103052 *        
                fesisCHN.1998 -0.458507  0.159535 -2.8740 0.0042576 **       
                fesisDNK.2005  0.431604  0.070613  6.1123 2.237e-09 ***      
                fesisESP.2003  0.273551  0.081356  3.3624 0.0008432 ***      
                fesisISR.2005 -0.349014  0.159186 -2.1925 0.0288892 *        
                fesisISR.2006  0.798048  0.170853  4.6710 4.036e-06 ***      
                fesisISR.2009 -0.429356  0.099222 -4.3272 1.887e-05 ***      
                fesisRUS.2007 -0.302590  0.084949 -3.5620 0.0004100 ***      
                fesisSWE.1998 -0.403555  0.129082 -3.1263 0.0018924 **       
                fesisSWE.2002 -0.207174  0.086519 -2.3946 0.0170758 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   0.28279  1  0.5949      
                Ljung-Box ARCH(1) 0.80757  1  0.3688      
                                                
                SE of regression   0.14401      
                R-squared          0.99220      
                Log-lik.(n=502)  300.51330      

without IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 03:04:51 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            4.0939e-12  1.7521e-13  23.3659 < 2.2e-16 ***      
                pop            1.0196e-05  8.3889e-07  12.1546 < 2.2e-16 ***      
                idAUT          1.3841e+02  3.2213e+01   4.2967 2.118e-05 ***      
                idBEL          7.8961e+01  3.1592e+01   2.4994 0.0127897 *        
                idCAN         -1.4911e+01  3.1933e+01  -0.4670 0.6407460          
                idCHE          1.5313e+02  3.2397e+01   4.7267 3.039e-06 ***      
                idCHN         -1.2227e+04  1.0070e+03 -12.1416 < 2.2e-16 ***      
                idDEU         -9.3616e+01  6.4970e+01  -1.4409 0.1502909          
                idDNK          2.4919e+02  3.3088e+01   7.5312 2.691e-13 ***      
                idESP         -2.1435e+02  3.5869e+01  -5.9759 4.597e-09 ***      
                idFIN          1.3538e+02  3.3144e+01   4.0847 5.208e-05 ***      
                idFRA         -1.7768e+02  4.6788e+01  -3.7977 0.0001657 ***      
                idGBR         -2.3187e+02  4.5571e+01  -5.0880 5.284e-07 ***      
                idISR          1.2906e+02  3.3181e+01   3.8897 0.0001152 ***      
                idITA         -3.3563e+02  4.3611e+01  -7.6960 8.672e-14 ***      
                idJPN         -1.9488e+03  1.3214e+02 -14.7475 < 2.2e-16 ***      
                idKOR         -3.1904e+03  1.4275e+02 -22.3496 < 2.2e-16 ***      
                idNLD          7.8658e+01  3.0609e+01   2.5698 0.0104907 *        
                idNOR          1.2290e+02  3.3332e+01   3.6871 0.0002540 ***      
                idRUS         -1.5669e+03  1.0803e+02 -14.5042 < 2.2e-16 ***      
                idSWE          1.0862e+02  3.1956e+01   3.3992 0.0007348 ***      
                idUSA         -2.0225e+03  2.1879e+02  -9.2440 < 2.2e-16 ***      
                time1995      -2.1650e+02  3.5962e+01  -6.0203 3.568e-09 ***      
                time1996      -2.3103e+02  3.6274e+01  -6.3691 4.625e-10 ***      
                time1997      -2.3463e+02  3.6189e+01  -6.4836 2.318e-10 ***      
                time1998      -1.9249e+02  3.5727e+01  -5.3877 1.143e-07 ***      
                time1999      -1.9366e+02  3.6094e+01  -5.3655 1.283e-07 ***      
                time2000      -2.0863e+02  3.5990e+01  -5.7970 1.257e-08 ***      
                time2001      -2.0054e+02  3.6250e+01  -5.5320 5.326e-08 ***      
                time2002      -1.8943e+02  3.4996e+01  -5.4128 1.002e-07 ***      
                time2003      -1.8726e+02  3.5185e+01  -5.3222 1.607e-07 ***      
                time2004      -1.7196e+02  3.5363e+01  -4.8626 1.594e-06 ***      
                time2005      -1.4781e+02  3.5559e+01  -4.1566 3.854e-05 ***      
                time2006      -1.2785e+02  3.5765e+01  -3.5746 0.0003880 ***      
                time2007      -1.9335e+02  3.5778e+01  -5.4041 1.049e-07 ***      
                time2008      -1.4193e+02  3.6025e+01  -3.9397 9.427e-05 ***      
                time2009      -7.0279e+01  3.6630e+01  -1.9186 0.0556555 .        
                time2010      -3.5900e+01  3.6645e+01  -0.9797 0.3277553          
                time2011      -4.7252e+00  3.6874e+01  -0.1281 0.8980886          
                time2012      -5.2996e+01  3.7193e+01  -1.4249 0.1548654          
                time2013      -8.1309e+01  3.7481e+01  -2.1693 0.0305724 *        
                time2014      -9.2875e+01  3.7651e+01  -2.4667 0.0139990 *        
                time2015      -1.4833e+02  3.7935e+01  -3.9100 0.0001062 ***      
                time2016      -1.2794e+02  3.8229e+01  -3.3467 0.0008850 ***      
                time2017      -1.3282e+02  3.7149e+01  -3.5753 0.0003870 ***      
                time2018      -1.2497e+02  3.7365e+01  -3.3445 0.0008918 ***      
                time2019      -1.9903e+02  3.7539e+01  -5.3019 1.785e-07 ***      
                fesisCHN.1998 -4.3401e+02  9.0393e+01  -4.8014 2.136e-06 ***      
                fesisCHN.2002 -4.0662e+02  8.7788e+01  -4.6318 4.727e-06 ***      
                fesisCHN.2017  9.0366e+02  8.9864e+01  10.0559 < 2.2e-16 ***      
                fesisDEU.2007  1.0524e+03  5.8728e+01  17.9192 < 2.2e-16 ***      
                fesisDEU.2012 -1.9606e+02  6.2856e+01  -3.1193 0.0019270 **       
                fesisJPN.1999  8.0387e+02  8.4204e+01   9.5466 < 2.2e-16 ***      
                fesisJPN.2002  5.3148e+02  7.6277e+01   6.9678 1.124e-11 ***      
                fesisJPN.2009  8.7253e+02  1.1766e+02   7.4155 5.895e-13 ***      
                fesisJPN.2010  1.3373e+03  1.2697e+02  10.5325 < 2.2e-16 ***      
                fesisJPN.2013 -8.4793e+02  7.6287e+01 -11.1150 < 2.2e-16 ***      
                fesisKOR.1999 -5.7526e+02  8.8490e+01  -6.5008 2.087e-10 ***      
                fesisKOR.2002 -5.5850e+02  9.9246e+01  -5.6275 3.186e-08 ***      
                fesisKOR.2014 -4.4753e+02  9.5866e+01  -4.6683 3.992e-06 ***      
                fesisKOR.2017 -4.8371e+02  9.3541e+01  -5.1710 3.483e-07 ***      
                fesisUSA.2000  5.5824e+02  6.6289e+01   8.4213 4.805e-16 ***      
                fesisUSA.2007  1.5767e+03  6.0467e+01  26.0751 < 2.2e-16 ***      
                fesisUSA.2014 -7.6593e+02  6.2262e+01 -12.3017 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   37.500  1 9.144e-10 ***      
                Ljung-Box ARCH(1) 81.112  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression   107.27448      
                R-squared            0.98755      
                Log-lik.(n=523)  -3155.33421      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 03:04:50 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            5.0864e-12  2.7321e-13  18.6173 < 2.2e-16 ***      
                pop            1.2284e-05  1.2164e-06  10.0983 < 2.2e-16 ***      
                idAUT          1.1670e+02  3.5919e+01   3.2490 0.0012445 **       
                idBEL          5.2171e+01  3.4800e+01   1.4992 0.1345293          
                idCAN         -8.9725e+01  3.5978e+01  -2.4939 0.0129918 *        
                idCHE          1.3248e+02  3.6249e+01   3.6548 0.0002876 ***      
                idCHN         -1.4777e+04  1.4591e+03 -10.1273 < 2.2e-16 ***      
                idDEU         -2.6123e+02  8.5279e+01  -3.0633 0.0023205 **       
                idDNK          2.3180e+02  3.7489e+01   6.1833 1.408e-09 ***      
                idESP         -3.1127e+02  4.3297e+01  -7.1891 2.726e-12 ***      
                idFIN          1.2006e+02  3.7589e+01   3.1941 0.0015009 **       
                idFRA         -3.1666e+02  6.1684e+01  -5.1336 4.235e-07 ***      
                idGBR         -3.6651e+02  5.9713e+01  -6.1378 1.835e-09 ***      
                idISR          1.0814e+02  3.7034e+01   2.9201 0.0036749 **       
                idITA         -4.6359e+02  5.6504e+01  -8.2045 2.442e-15 ***      
                idJPN         -2.6724e+03  1.8370e+02 -14.5473 < 2.2e-16 ***      
                idKOR         -4.0119e+03  2.0853e+02 -19.2392 < 2.2e-16 ***      
                idNLD          3.9740e+01  3.3048e+01   1.2025 0.2298012          
                idNOR          1.5036e+02  4.1521e+01   3.6214 0.0003263 ***      
                idRUS         -1.8347e+03  1.5812e+02 -11.6034 < 2.2e-16 ***      
                idSWE          8.1590e+01  3.5454e+01   2.3013 0.0218313 *        
                idUSA         -2.5949e+03  3.1231e+02  -8.3085 1.146e-15 ***      
                time1995      -2.1593e+02  4.0108e+01  -5.3836 1.177e-07 ***      
                time1996      -2.3572e+02  4.0674e+01  -5.7955 1.281e-08 ***      
                time1997      -2.4297e+02  4.0987e+01  -5.9280 6.101e-09 ***      
                time1998      -2.0218e+02  4.0626e+01  -4.9766 9.225e-07 ***      
                time1999      -2.1538e+02  4.1372e+01  -5.2058 2.940e-07 ***      
                time2000      -1.9792e+02  4.0233e+01  -4.9194 1.219e-06 ***      
                time2001      -1.9360e+02  4.0683e+01  -4.7589 2.625e-06 ***      
                time2002      -2.0698e+02  4.1053e+01  -5.0418 6.692e-07 ***      
                time2003      -1.9400e+02  4.0529e+01  -4.7867 2.302e-06 ***      
                time2004      -1.8342e+02  4.0931e+01  -4.4813 9.416e-06 ***      
                time2005      -1.6360e+02  4.1359e+01  -3.9556 8.864e-05 ***      
                time2006      -1.2849e+02  4.1878e+01  -3.0681 0.0022838 **       
                time2007      -1.7566e+02  4.0305e+01  -4.3582 1.625e-05 ***      
                time2008      -1.2304e+02  4.0838e+01  -3.0129 0.0027331 **       
                time2009      -4.5663e+01  4.2341e+01  -1.0785 0.2814071          
                time2010      -1.7571e+01  4.2562e+01  -0.4128 0.6799261          
                time2011       9.6381e+00  4.2922e+01   0.2246 0.8224301          
                time2012      -4.2782e+01  4.3511e+01  -0.9832 0.3260142          
                time2013      -7.9349e+01  4.4081e+01  -1.8001 0.0725164 .        
                time2014      -8.2602e+01  4.4329e+01  -1.8634 0.0630611 .        
                time2015      -1.4210e+02  4.4798e+01  -3.1721 0.0016167 **       
                time2016      -1.2582e+02  4.5284e+01  -2.7786 0.0056880 **       
                time2017      -1.2225e+02  4.4023e+01  -2.7770 0.0057143 **       
                time2018      -1.1848e+02  4.4389e+01  -2.6692 0.0078783 **       
                time2019      -1.6130e+02  4.4934e+01  -3.5897 0.0003674 ***      
                fesisAUS.2009 -1.1323e+02  4.0414e+01  -2.8018 0.0052999 **       
                fesisCHN.1998 -3.9488e+02  9.7353e+01  -4.0562 5.877e-05 ***      
                fesisCHN.2000 -3.0057e+02  9.5499e+01  -3.1473 0.0017568 **       
                fesisCHN.2003 -3.0016e+02  8.2759e+01  -3.6269 0.0003196 ***      
                fesisCHN.2007 -2.1020e+02  8.4830e+01  -2.4779 0.0135808 *        
                fesisCHN.2017  7.8993e+02  8.8920e+01   8.8836 < 2.2e-16 ***      
                fesisDEU.2007  1.0279e+03  5.3147e+01  19.3415 < 2.2e-16 ***      
                fesisDEU.2012 -1.8862e+02  5.6820e+01  -3.3196 0.0009744 ***      
                fesisJPN.1999  7.8870e+02  7.6022e+01  10.3746 < 2.2e-16 ***      
                fesisJPN.2002  5.0133e+02  6.9126e+01   7.2525 1.795e-12 ***      
                fesisJPN.2009  8.6264e+02  1.0629e+02   8.1161 4.622e-15 ***      
                fesisJPN.2010  1.3257e+03  1.1464e+02  11.5635 < 2.2e-16 ***      
                fesisJPN.2013 -7.6897e+02  7.0826e+01 -10.8572 < 2.2e-16 ***      
                fesisJPN.2019 -7.1961e+02  1.0725e+02  -6.7100 5.855e-11 ***      
                fesisKOR.1999 -4.2831e+02  1.1383e+02  -3.7628 0.0001902 ***      
                fesisKOR.2000 -4.6297e+02  1.2441e+02  -3.7213 0.0002232 ***      
                fesisKOR.2002 -5.2676e+02  9.6347e+01  -5.4673 7.578e-08 ***      
                fesisKOR.2006 -4.2213e+02  1.0395e+02  -4.0609 5.764e-05 ***      
                fesisKOR.2014 -6.7904e+02  9.8877e+01  -6.8676 2.174e-11 ***      
                fesisKOR.2017 -6.4514e+02  9.0698e+01  -7.1131 4.483e-12 ***      
                fesisNOR.2008 -9.2188e+01  4.0212e+01  -2.2925 0.0223338 *        
                fesisRUS.2007 -2.0535e+02  4.1386e+01  -4.9618 9.916e-07 ***      
                fesisUSA.2000  5.1513e+02  6.1874e+01   8.3254 1.013e-15 ***      
                fesisUSA.2007  1.5156e+03  5.7678e+01  26.2764 < 2.2e-16 ***      
                fesisUSA.2014 -7.9601e+02  5.7332e+01 -13.8843 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    36.289  1 1.702e-09 ***      
                Ljung-Box ARCH(1) 118.875  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    96.81087      
                R-squared            0.99004      
                Log-lik.(n=523)  -3097.65797      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 03:04:48 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.3857e-01  1.7526e-02  47.8484 < 2.2e-16 ***      
                gdp           -7.3054e-15  1.2015e-13  -0.0608 0.9515428          
                pop            1.7376e-06  2.4761e-07   7.0172 8.729e-12 ***      
                idAUT          2.4984e+01  1.3615e+01   1.8350 0.0671829 .        
                idBEL          1.1392e+01  1.3455e+01   0.8467 0.3976184          
                idCAN         -8.1176e-01  1.3525e+01  -0.0600 0.9521687          
                idCHE          2.4924e+01  1.3674e+01   1.8227 0.0690296 .        
                idCHN         -2.1393e+03  3.1635e+02  -6.7624 4.388e-11 ***      
                idDEU          2.9671e+01  2.2530e+01   1.3170 0.1885369          
                idDNK          4.8591e+01  1.4045e+01   3.4596 0.0005943 ***      
                idESP         -3.7222e+01  1.4344e+01  -2.5949 0.0097804 **       
                idFIN          2.0754e+01  1.3760e+01   1.5083 0.1321933          
                idFRA         -2.0373e+01  1.6419e+01  -1.2408 0.2153547          
                idGBR         -3.3126e+01  1.6173e+01  -2.0483 0.0411342 *        
                idISR          2.0051e+01  1.3979e+01   1.4343 0.1521923          
                idITA         -5.5984e+01  1.5973e+01  -3.5050 0.0005040 ***      
                idJPN          8.6784e+01  6.4573e+01   1.3440 0.1796547          
                idKOR          7.0530e-01  1.0387e+02   0.0068 0.9945855          
                idNLD          1.3396e+01  1.3309e+01   1.0066 0.3147035          
                idNOR          2.1297e+01  1.3790e+01   1.5443 0.1232330          
                idRUS         -2.2026e+02  3.4421e+01  -6.3988 4.054e-10 ***      
                idSWE          1.8832e+01  1.3557e+01   1.3891 0.1655113          
                idUSA         -2.0677e+02  6.3605e+01  -3.2508 0.0012403 **       
                time1996      -4.5472e+01  1.4443e+01  -3.1483 0.0017552 **       
                time1997      -4.0893e+01  1.4471e+01  -2.8259 0.0049318 **       
                time1998      -3.1673e+01  1.4334e+01  -2.2096 0.0276522 *        
                time1999      -3.2154e+01  1.4409e+01  -2.2315 0.0261580 *        
                time2000      -2.4975e+01  1.4379e+01  -1.7369 0.0831096 .        
                time2001      -2.6224e+01  1.4393e+01  -1.8220 0.0691412 .        
                time2002      -3.5816e+01  1.4402e+01  -2.4869 0.0132617 *        
                time2003      -3.8461e+01  1.4496e+01  -2.6531 0.0082670 **       
                time2004      -1.8389e+01  1.4494e+01  -1.2687 0.2052314          
                time2005      -6.5007e+00  1.4480e+01  -0.4489 0.6536941          
                time2006      -2.5644e+01  1.4517e+01  -1.7665 0.0780210 .        
                time2007       7.5326e+00  1.4621e+01   0.5152 0.6066834          
                time2008       2.0699e+00  1.4587e+01   0.1419 0.8872267          
                time2009       1.4075e+01  1.4854e+01   0.9475 0.3438932          
                time2010       1.8595e+01  1.4843e+01   1.2528 0.2109601          
                time2011      -9.5982e+00  1.4941e+01  -0.6424 0.5209475          
                time2012      -3.7298e+01  1.4956e+01  -2.4938 0.0130072 *        
                time2013      -5.3246e+01  1.4929e+01  -3.5667 0.0004016 ***      
                time2014      -3.0095e+01  1.5085e+01  -1.9950 0.0466647 *        
                time2015      -4.1845e+01  1.4951e+01  -2.7988 0.0053578 **       
                time2016      -1.9269e+01  1.4803e+01  -1.3017 0.1936961          
                time2017       7.8483e-01  1.4721e+01   0.0533 0.9575069          
                time2018      -4.2110e+00  1.4735e+01  -0.2858 0.7751860          
                time2019      -5.1359e+01  1.4903e+01  -3.4462 0.0006239 ***      
                fesisCHN.2016  3.8307e+02  3.6205e+01  10.5805 < 2.2e-16 ***      
                fesisDEU.2007  3.0585e+02  2.9308e+01  10.4356 < 2.2e-16 ***      
                fesisDEU.2012 -2.8808e+02  2.6918e+01 -10.7021 < 2.2e-16 ***      
                fesisJPN.1999  3.4722e+02  4.3561e+01   7.9710 1.398e-14 ***      
                fesisJPN.2001 -1.3640e+02  4.0453e+01  -3.3718 0.0008135 ***      
                fesisJPN.2009  5.8426e+02  5.0247e+01  11.6278 < 2.2e-16 ***      
                fesisJPN.2010  7.7825e+02  6.7243e+01  11.5737 < 2.2e-16 ***      
                fesisJPN.2011 -6.5012e+02  7.0066e+01  -9.2786 < 2.2e-16 ***      
                fesisJPN.2012 -8.6440e+02  5.7616e+01 -15.0029 < 2.2e-16 ***      
                fesisJPN.2014  3.4464e+02  4.1590e+01   8.2866 1.459e-15 ***      
                fesisJPN.2019 -7.5322e+02  5.1469e+01 -14.6344 < 2.2e-16 ***      
                fesisKOR.2003  1.8447e+02  4.6677e+01   3.9521 9.037e-05 ***      
                fesisKOR.2009  3.9512e+02  4.3439e+01   9.0959 < 2.2e-16 ***      
                fesisKOR.2014 -4.7346e+02  4.4344e+01 -10.6771 < 2.2e-16 ***      
                fesisKOR.2016  5.8949e+02  5.8722e+01  10.0386 < 2.2e-16 ***      
                fesisKOR.2017 -3.7707e+02  5.5448e+01  -6.8004 3.459e-11 ***      
                fesisUSA.2006  4.9280e+02  3.5036e+01  14.0655 < 2.2e-16 ***      
                fesisUSA.2010 -2.4192e+02  3.7790e+01  -6.4017 3.986e-10 ***      
                fesisUSA.2014 -5.9266e+02  5.2577e+01 -11.2722 < 2.2e-16 ***      
                fesisUSA.2015  3.3277e+02  5.3196e+01   6.2555 9.486e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)    3.045  1   0.08099 .        
                Ljung-Box ARCH(1) 18.394  1 1.796e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    45.82208      
                R-squared            0.99783      
                Log-lik.(n=502)  -2598.83975      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 03:04:47 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.5555e-01  1.6959e-02  50.4475 < 2.2e-16 ***      
                gdp           -3.8417e-14  1.1632e-13  -0.3303 0.7413614          
                pop            1.6347e-06  2.3977e-07   6.8180 3.112e-11 ***      
                idAUT          2.3614e+01  1.3180e+01   1.7917 0.0738849 .        
                idBEL          1.0804e+01  1.3025e+01   0.8295 0.4073004          
                idCAN         -1.4133e+00  1.3093e+01  -0.1079 0.9140917          
                idCHE          2.3297e+01  1.3237e+01   1.7600 0.0791219 .        
                idCHN         -2.0111e+03  3.0632e+02  -6.5655 1.487e-10 ***      
                idDEU          1.5568e+01  2.2224e+01   0.7005 0.4839886          
                idDNK          4.5490e+01  1.3597e+01   3.3456 0.0008925 ***      
                idESP         -3.5187e+01  1.3886e+01  -2.5339 0.0116310 *        
                idFIN          1.9601e+01  1.3320e+01   1.4715 0.1418769          
                idFRA         -2.0288e+01  1.5895e+01  -1.2764 0.2024888          
                idGBR         -3.1996e+01  1.5657e+01  -2.0436 0.0415938 *        
                idISR          1.8903e+01  1.3533e+01   1.3969 0.1631729          
                idITA         -5.2931e+01  1.5463e+01  -3.4230 0.0006783 ***      
                idJPN          9.4906e+01  6.2532e+01   1.5177 0.1298141          
                idKOR          2.7512e+01  1.0058e+02   0.2735 0.7845757          
                idNLD          1.2419e+01  1.2883e+01   0.9639 0.3356192          
                idNOR          2.0306e+01  1.3350e+01   1.5211 0.1289769          
                idRUS         -2.0494e+02  3.3329e+01  -6.1490 1.774e-09 ***      
                idSWE          1.7727e+01  1.3124e+01   1.3507 0.1774812          
                idUSA         -1.9468e+02  6.1593e+01  -3.1607 0.0016843 **       
                time1996      -4.2447e+01  1.3980e+01  -3.0362 0.0025402 **       
                time1997      -3.7841e+01  1.4007e+01  -2.7016 0.0071708 **       
                time1998      -2.8896e+01  1.3875e+01  -2.0826 0.0378727 *        
                time1999      -2.9167e+01  1.3947e+01  -2.0912 0.0370886 *        
                time2000      -2.2362e+01  1.3918e+01  -1.6067 0.1088575          
                time2001      -2.4439e+01  1.3928e+01  -1.7547 0.0800186 .        
                time2002      -3.4269e+01  1.3938e+01  -2.4588 0.0143316 *        
                time2003      -3.7161e+01  1.4030e+01  -2.6486 0.0083769 **       
                time2004      -1.7215e+01  1.4029e+01  -1.2271 0.2204375          
                time2005      -5.7768e+00  1.4016e+01  -0.4121 0.6804389          
                time2006      -3.5875e+01  1.4163e+01  -2.5330 0.0116604 *        
                time2007       1.1360e+01  1.4144e+01   0.8031 0.4223367          
                time2008       1.2844e+01  1.4279e+01   0.8995 0.3688698          
                time2009       1.7715e+01  1.4369e+01   1.2329 0.2182984          
                time2010       2.1910e+01  1.4359e+01   1.5259 0.1277571          
                time2011      -7.2677e+00  1.4453e+01  -0.5028 0.6153283          
                time2012      -4.9289e+01  1.4489e+01  -3.4019 0.0007313 ***      
                time2013      -3.9699e+01  1.4600e+01  -2.7192 0.0068076 **       
                time2014      -3.2672e+01  1.4612e+01  -2.2359 0.0258676 *        
                time2015      -4.4025e+01  1.4479e+01  -3.0406 0.0025044 **       
                time2016      -2.0567e+01  1.4327e+01  -1.4355 0.1518582          
                time2017      -8.9612e-01  1.4252e+01  -0.0629 0.9498928          
                time2018      -6.3446e+00  1.4269e+01  -0.4446 0.6568094          
                time2019      -5.3771e+01  1.4435e+01  -3.7252 0.0002210 ***      
                fesisCHN.2016  3.7326e+02  3.4989e+01  10.6679 < 2.2e-16 ***      
                fesisDEU.2006  2.3951e+02  2.6768e+01   8.9474 < 2.2e-16 ***      
                fesisDEU.2013 -5.1824e+02  4.9288e+01 -10.5144 < 2.2e-16 ***      
                fesisDEU.2014  3.3758e+02  4.9919e+01   6.7625 4.406e-11 ***      
                fesisJPN.1999  3.3982e+02  4.2168e+01   8.0588 7.575e-15 ***      
                fesisJPN.2001 -1.2934e+02  3.9271e+01  -3.2934 0.0010712 **       
                fesisJPN.2008 -1.7306e+02  4.9307e+01  -3.5099 0.0004952 ***      
                fesisJPN.2009  7.2595e+02  6.4329e+01  11.2850 < 2.2e-16 ***      
                fesisJPN.2010  7.6807e+02  6.5092e+01  11.7999 < 2.2e-16 ***      
                fesisJPN.2011 -6.7178e+02  6.7824e+01  -9.9047 < 2.2e-16 ***      
                fesisJPN.2012 -8.6592e+02  5.5778e+01 -15.5245 < 2.2e-16 ***      
                fesisJPN.2014  3.6182e+02  4.0374e+01   8.9617 < 2.2e-16 ***      
                fesisJPN.2019 -7.5417e+02  4.9824e+01 -15.1368 < 2.2e-16 ***      
                fesisKOR.2003  1.8806e+02  4.5177e+01   4.1626 3.797e-05 ***      
                fesisKOR.2009  3.8038e+02  4.2038e+01   9.0486 < 2.2e-16 ***      
                fesisKOR.2014 -4.7476e+02  4.2925e+01 -11.0602 < 2.2e-16 ***      
                fesisKOR.2016  5.9742e+02  5.6846e+01  10.5094 < 2.2e-16 ***      
                fesisKOR.2017 -3.7914e+02  5.3677e+01  -7.0633 6.524e-12 ***      
                fesisUSA.2006  4.7177e+02  3.4094e+01  13.8373 < 2.2e-16 ***      
                fesisUSA.2010 -2.6087e+02  3.6493e+01  -7.1486 3.752e-12 ***      
                fesisUSA.2014 -5.8675e+02  5.0914e+01 -11.5244 < 2.2e-16 ***      
                fesisUSA.2015  3.4587e+02  5.1497e+01   6.7163 5.876e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    3.5534  1 0.0594253 .        
                Ljung-Box ARCH(1) 14.5011  1 0.0001401 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    44.35736      
                R-squared            0.99797      
                Log-lik.(n=502)  -2581.53100      

Count Ma

0

0.01

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 03:05:30 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                gdp_ma          1.239610   0.433224   2.8614 0.0044101 **       
                pop_ma          4.528919   1.832207   2.4718 0.0138021 *        
                idAUT           9.689699   3.301455   2.9350 0.0035023 **       
                idBEL          -7.028436  10.255218  -0.6854 0.4934662          
                idCAN           1.949335   2.816621   0.6921 0.4892337          
                idCHE           1.578274   2.982743   0.5291 0.5969665          
                idCHN         117.337519   7.808075  15.0277 < 2.2e-16 ***      
                idDEU           7.877373   3.754109   2.0983 0.0364193 *        
                idDNK          -3.511726   7.393818  -0.4750 0.6350445          
                idESP          11.192105   3.950341   2.8332 0.0048105 **       
                idFIN          -7.249506   4.832953  -1.5000 0.1342948          
                idFRA           6.803401   3.267074   2.0824 0.0378555 *        
                idGBR           4.862803   3.171929   1.5331 0.1259435          
                idISR          -3.528910   4.290192  -0.8226 0.4111875          
                idITA           9.362790   3.702169   2.5290 0.0117712 *        
                idJPN           8.056754   3.861574   2.0864 0.0374922 *        
                idKOR          15.799343   3.138618   5.0339 6.906e-07 ***      
                idNLD           7.748417   3.254021   2.3812 0.0176623 *        
                idNOR          47.653718   6.177835   7.7137 7.617e-14 ***      
                idRUS          34.290262   6.076275   5.6433 2.917e-08 ***      
                idSWE           1.294330   3.083898   0.4197 0.6748959          
                idUSA           2.214325   2.890694   0.7660 0.4440574          
                time1995       -1.413175   4.259381  -0.3318 0.7402066          
                time1996       -1.506256   4.224979  -0.3565 0.7216202          
                time1997        2.386160   4.176739   0.5713 0.5680765          
                time1998        5.464688   4.238816   1.2892 0.1979745          
                time1999        5.791792   4.313312   1.3428 0.1800068          
                time2000        5.381030   4.259875   1.2632 0.2071595          
                time2001       -1.344441   4.180631  -0.3216 0.7479105          
                time2002       -0.924430   4.034600  -0.2291 0.8188729          
                time2003       -0.098944   4.107806  -0.0241 0.9807937          
                time2004        4.379317   4.120616   1.0628 0.2884371          
                time2005        5.190105   4.273540   1.2145 0.2251884          
                time2006        8.166194   4.338202   1.8824 0.0604124 .        
                time2007       10.187650   4.383008   2.3244 0.0205403 *        
                time2008       12.298956   4.105931   2.9954 0.0028884 **       
                time2009        6.841633   4.056272   1.6867 0.0923414 .        
                time2010        1.653794   3.976834   0.4159 0.6777082          
                time2011       -7.620119   4.097830  -1.8595 0.0635861 .        
                time2012      -15.258824   4.014016  -3.8014 0.0001632 ***      
                time2013      -18.666762   4.040114  -4.6204 4.978e-06 ***      
                time2014      -20.397114   4.085700  -4.9923 8.475e-07 ***      
                time2015      -15.536610   4.154682  -3.7395 0.0002076 ***      
                time2016       -9.381511   4.162234  -2.2540 0.0246675 *        
                time2017       -6.380475   4.138327  -1.5418 0.1238082          
                time2018      -11.299140   4.052302  -2.7883 0.0055172 **       
                time2019       -6.831729   3.753615  -1.8200 0.0694013 .        
                fesisBEL.1996  93.735134  11.341697   8.2646 1.504e-15 ***      
                fesisBEL.1999 -75.599626   6.096241 -12.4010 < 2.2e-16 ***      
                fesisCHN.1997 -99.538750   7.351283 -13.5403 < 2.2e-16 ***      
                fesisDNK.1997  99.401718   8.987685  11.0598 < 2.2e-16 ***      
                fesisDNK.2000 -75.525951   6.564079 -11.5059 < 2.2e-16 ***      
                fesisDNK.2009 -11.838241   4.450213  -2.6602 0.0080828 **       
                fesisESP.2004  34.891883   6.802123   5.1296 4.286e-07 ***      
                fesisESP.2007 -40.248221   6.814445  -5.9063 6.799e-09 ***      
                fesisFIN.2001  17.909657   4.702547   3.8085 0.0001587 ***      
                fesisISR.2005  40.194787   6.750264   5.9546 5.175e-09 ***      
                fesisISR.2008 -43.443469   6.350669  -6.8408 2.515e-11 ***      
                fesisNOR.1998 -38.153825   6.444965  -5.9199 6.296e-09 ***      
                fesisNOR.2010 -17.252109   5.292950  -3.2595 0.0011989 **       
                fesisNOR.2015  29.549405   6.246578   4.7305 2.982e-06 ***      
                fesisRUS.2000 -28.054412   5.635625  -4.9780 9.090e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   40.249  1 2.236e-10 ***      
                Ljung-Box ARCH(1) 19.680  1 9.156e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     9.56790      
                R-squared            0.80065      
                Log-lik.(n=523)  -1892.25524      
0.05

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 03:05:29 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error   t-stat   p-value          
                gdp_ma          0.96632   0.44482   2.1724 0.0303455 *        
                pop_ma          3.87563   1.74234   2.2244 0.0266145 *        
                idAUT          -0.42564   5.24331  -0.0812 0.9353362          
                idBEL         -10.04351   9.33085  -1.0764 0.2823315          
                idCAN           1.49131   2.56524   0.5814 0.5612924          
                idCHE           0.82925   2.73085   0.3037 0.7615262          
                idCHN         117.17599   7.23151  16.2035 < 2.2e-16 ***      
                idDEU           6.51521   3.48043   1.8720 0.0618570 .        
                idDNK          -6.04172   6.73247  -0.8974 0.3699820          
                idESP          10.28732   3.59715   2.8599 0.0044342 **       
                idFIN          -8.37719   4.42256  -1.8942 0.0588361 .        
                idFRA           2.10566   3.37246   0.6244 0.5326989          
                idGBR           3.97541   2.91397   1.3643 0.1731639          
                idISR          -2.98383   3.93541  -0.7582 0.4487252          
                idITA           7.86724   3.43837   2.2881 0.0225930 *        
                idJPN           6.51842   3.58816   1.8166 0.0699318 .        
                idKOR          18.13839   3.84745   4.7144 3.232e-06 ***      
                idNLD           6.82141   2.99344   2.2788 0.0231445 *        
                idNOR          46.09089   5.63155   8.1844 2.798e-15 ***      
                idRUS          12.30098   7.96377   1.5446 0.1231367          
                idSWE           0.60305   2.82666   0.2133 0.8311536          
                idUSA           1.67670   2.63745   0.6357 0.5252749          
                time1995        2.38894   4.00068   0.5971 0.5507164          
                time1996        2.25340   3.97207   0.5673 0.5707828          
                time1997        4.36030   3.87348   1.1257 0.2608963          
                time1998        7.49641   3.94005   1.9026 0.0577244 .        
                time1999        7.38004   4.00293   1.8437 0.0658856 .        
                time2000        7.96694   3.95034   2.0168 0.0443084 *        
                time2001        1.07296   3.86839   0.2774 0.7816255          
                time2002        1.24119   3.72016   0.3336 0.7388069          
                time2003        0.91884   3.83310   0.2397 0.8106618          
                time2004        5.42844   3.85101   1.4096 0.1593391          
                time2005        8.05950   4.00355   2.0131 0.0446964 *        
                time2006        9.29860   4.07896   2.2796 0.0230926 *        
                time2007       12.29370   4.13173   2.9754 0.0030822 **       
                time2008       13.42502   3.85662   3.4810 0.0005479 ***      
                time2009        9.07020   3.80113   2.3862 0.0174338 *        
                time2010        2.74233   3.71321   0.7385 0.4605730          
                time2011       -6.18826   3.84987  -1.6074 0.1086649          
                time2012      -14.00351   3.75777  -3.7265 0.0002187 ***      
                time2013      -17.43241   3.78023  -4.6115 5.209e-06 ***      
                time2014      -19.07879   3.82819  -4.9838 8.892e-07 ***      
                time2015      -14.12387   3.89890  -3.6225 0.0003247 ***      
                time2016       -7.92180   3.91026  -2.0259 0.0433607 *        
                time2017       -4.91534   3.88954  -1.2637 0.2069763          
                time2018       -9.90258   3.80552  -2.6022 0.0095673 **       
                time2019       -6.08568   3.49084  -1.7433 0.0819545 .        
                fesisAUT.1999  10.83967   4.92366   2.2015 0.0282007 *        
                fesisBEL.1996  95.03073  10.29448   9.2312 < 2.2e-16 ***      
                fesisBEL.1999 -74.63269   5.54523 -13.4589 < 2.2e-16 ***      
                fesisCHN.1997 -98.15333   6.69985 -14.6501 < 2.2e-16 ***      
                fesisDNK.1997 101.10127   8.16448  12.3831 < 2.2e-16 ***      
                fesisDNK.2000 -88.44561   6.31964 -13.9954 < 2.2e-16 ***      
                fesisDNK.2006  37.63478   6.30895   5.9653 4.925e-09 ***      
                fesisDNK.2009 -36.42239   5.84029  -6.2364 1.027e-09 ***      
                fesisESP.2004  36.22375   6.18910   5.8528 9.282e-09 ***      
                fesisESP.2007 -41.63819   6.23992  -6.6729 7.341e-11 ***      
                fesisFIN.2001  18.12581   4.31588   4.1998 3.218e-05 ***      
                fesisFRA.2008   7.63739   3.62680   2.1058 0.0357694 *        
                fesisISR.2005  40.15006   6.14888   6.5297 1.772e-10 ***      
                fesisISR.2008 -43.00023   5.76757  -7.4555 4.590e-13 ***      
                fesisKOR.2003  26.74116   7.09833   3.7672 0.0001868 ***      
                fesisKOR.2005 -34.50907   6.71827  -5.1366 4.164e-07 ***      
                fesisNOR.1998 -37.38431   5.87323  -6.3652 4.786e-10 ***      
                fesisNOR.2010 -16.54907   4.81228  -3.4389 0.0006380 ***      
                fesisNOR.2015  29.23925   5.67079   5.1561 3.775e-07 ***      
                fesisRUS.1997  31.44060   8.44386   3.7235 0.0002213 ***      
                fesisRUS.2000 -36.35734   6.84279  -5.3132 1.693e-07 ***      
                fesisRUS.2007 -21.40349   6.22847  -3.4364 0.0006439 ***      
                fesisRUS.2010  24.22741   5.95502   4.0684 5.584e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   24.5385  1 7.284e-07 ***      
                Ljung-Box ARCH(1)  2.9481  1   0.08598 .        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.68006      
                R-squared            0.83878      
                Log-lik.(n=523)  -1837.32246      

1

0.01

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 03:05:28 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1              0.370496    0.038255   9.6849 < 2.2e-16 ***      
                gdp_ma          -0.355523    0.400388  -0.8879 0.3750513          
                pop_ma           0.371323    1.828182   0.2031 0.8391421          
                idAUT            2.086936    3.287467   0.6348 0.5258762          
                idBEL           62.746380    6.426279   9.7640 < 2.2e-16 ***      
                idCAN           -0.659138    2.797408  -0.2356 0.8138328          
                idCHE           -1.492811    2.950658  -0.5059 0.6131610          
                idCHN          103.038773   10.797568   9.5428 < 2.2e-16 ***      
                idDEU           -0.179683    3.752079  -0.0479 0.9618264          
                idDNK          -23.808087    9.859968  -2.4146 0.0161558 *        
                idESP            4.229002    4.274423   0.9894 0.3230204          
                idFIN            0.867347    3.394702   0.2555 0.7984553          
                idFRA            0.379200    3.245015   0.1169 0.9070270          
                idGBR           -0.147303    3.145720  -0.0468 0.9626727          
                idISR            0.788012    4.359076   0.1808 0.8566269          
                idITA            0.036080    3.675853   0.0098 0.9921730          
                idJPN           -1.309162    3.857428  -0.3394 0.7344788          
                idKOR            8.312847    3.183223   2.6115 0.0093217 **       
                idNLD            0.087085    3.250640   0.0268 0.9786393          
                idNOR            4.005089    2.957661   1.3541 0.1763817          
                idRUS            3.258051    3.906067   0.8341 0.4046741          
                idSWE           -2.055235    3.064735  -0.6706 0.5028200          
                idUSA           -0.442584    2.882719  -0.1535 0.8780503          
                time1996         9.156249    4.133824   2.2150 0.0272709 *        
                time1997        11.921566    4.080845   2.9213 0.0036633 **       
                time1998        11.693432    4.134450   2.8283 0.0048920 **       
                time1999        14.076272    4.234945   3.3238 0.0009616 ***      
                time2000        12.046519    4.228092   2.8492 0.0045877 **       
                time2001         4.501700    4.114612   1.0941 0.2745160          
                time2002         5.883308    3.973484   1.4806 0.1394127          
                time2003         6.548766    3.981834   1.6447 0.1007492          
                time2004        12.723283    4.034279   3.1538 0.0017213 **       
                time2005        12.565141    4.180863   3.0054 0.0028030 **       
                time2006        14.567520    4.254717   3.4239 0.0006748 ***      
                time2007        14.255160    4.339309   3.2851 0.0011003 **       
                time2008        12.615921    4.114431   3.0663 0.0023002 **       
                time2009         7.152205    4.064273   1.7598 0.0791362 .        
                time2010         3.749745    3.977285   0.9428 0.3463021          
                time2011        -1.346645    4.068323  -0.3310 0.7407954          
                time2012        -7.135830    3.996738  -1.7854 0.0748782 .        
                time2013        -7.529289    4.053454  -1.8575 0.0639035 .        
                time2014        -7.490022    4.115661  -1.8199 0.0694515 .        
                time2015        -0.260778    4.165324  -0.0626 0.9501077          
                time2016         3.702637    4.134219   0.8956 0.3709489          
                time2017         4.376063    4.088360   1.0704 0.2850350          
                time2018        -2.065640    3.998099  -0.5167 0.6056545          
                time2019         0.554374    3.722164   0.1489 0.8816698          
                fesisBEL.1999 -117.105687   11.189660 -10.4655 < 2.2e-16 ***      
                fesisBEL.2000   59.293766   10.358476   5.7242 1.918e-08 ***      
                fesisCHN.1997 -127.433517   13.562275  -9.3962 < 2.2e-16 ***      
                fesisCHN.1998   39.916037   10.762720   3.7087 0.0002348 ***      
                fesisDNK.1997  119.476454   13.545491   8.8204 < 2.2e-16 ***      
                fesisDNK.1998  -38.272715   12.426520  -3.0799 0.0021994 **       
                fesisDNK.2000 -109.076229   11.675393  -9.3424 < 2.2e-16 ***      
                fesisDNK.2001   57.572572   10.340190   5.5678 4.478e-08 ***      
                fesisESP.2003   24.239251    6.377680   3.8006 0.0001645 ***      
                fesisESP.2007  -30.065539    6.140344  -4.8964 1.370e-06 ***      
                fesisISR.2005   30.960523    6.717347   4.6090 5.298e-06 ***      
                fesisISR.2008  -34.932367    6.194447  -5.6393 3.047e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df  p-value         
                Ljung-Box AR(1)   0.075881  1 0.782959         
                Ljung-Box ARCH(1) 7.745556  1 0.005384 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     9.29252      
                R-squared            0.80437      
                Log-lik.(n=502)  -1801.87032      
0.05

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 03:05:28 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1              0.348411    0.037251   9.3530 < 2.2e-16 ***      
                gdp_ma           0.161915    0.404512   0.4003 0.6891534          
                pop_ma           0.618730    1.686828   0.3668 0.7139464          
                idAUT           -3.035670    5.153407  -0.5891 0.5561269          
                idBEL           65.396827    5.980951  10.9342 < 2.2e-16 ***      
                idCAN           -0.169139    2.558462  -0.0661 0.9473210          
                idCHE           -0.756393    2.704896  -0.2796 0.7798880          
                idCHN          102.742280   10.027241  10.2463 < 2.2e-16 ***      
                idDEU            1.066721    3.454415   0.3088 0.7576223          
                idDNK          -22.621200    9.043289  -2.5014 0.0127364 *        
                idESP            4.934369    3.926575   1.2567 0.2095529          
                idFIN            1.668669    3.115627   0.5356 0.5925229          
                idFRA            1.447615    2.983599   0.4852 0.6277857          
                idGBR            0.695754    2.886484   0.2410 0.8096392          
                idISR            0.863980    3.985508   0.2168 0.8284813          
                idITA            1.712717    3.399406   0.5038 0.6146376          
                idJPN            0.259596    3.561177   0.0729 0.9419225          
                idKOR            8.247859    2.930609   2.8144 0.0051094 **       
                idNLD            0.988447    2.984718   0.3312 0.7406765          
                idNOR           26.298787    6.785976   3.8755 0.0001229 ***      
                idRUS           -4.319886    9.636749  -0.4483 0.6541805          
                idSWE           -1.592896    2.805178  -0.5678 0.5704364          
                idUSA            0.062114    2.637453   0.0236 0.9812216          
                time1996         6.558275    3.970658   1.6517 0.0993221 .        
                time1997         7.697233    3.870304   1.9888 0.0473516 *        
                time1998         9.912956    3.943270   2.5139 0.0123016 *        
                time1999        10.816372    4.022827   2.6887 0.0074482 **       
                time2000         9.927268    3.984552   2.4914 0.0130952 *        
                time2001         2.757729    3.827824   0.7204 0.4716402          
                time2002         4.482358    3.676000   1.2194 0.2233709          
                time2003         4.868930    3.693322   1.3183 0.1880963          
                time2004        10.891846    3.750002   2.9045 0.0038664 **       
                time2005        10.540586    3.897602   2.7044 0.0071123 **       
                time2006        10.476685    3.985013   2.6290 0.0088671 **       
                time2007        12.616153    4.016932   3.1407 0.0018004 **       
                time2008        12.208117    3.772788   3.2358 0.0013057 **       
                time2009         6.800924    3.724115   1.8262 0.0685093 .        
                time2010         3.104304    3.645764   0.8515 0.3949710          
                time2011        -2.805398    3.750201  -0.7481 0.4548254          
                time2012        -8.427261    3.675662  -2.2927 0.0223417 *        
                time2013        -8.930623    3.731196  -2.3935 0.0171123 *        
                time2014        -9.117416    3.796053  -2.4018 0.0167334 *        
                time2015        -2.062591    3.847882  -0.5360 0.5922104          
                time2016         1.939896    3.817323   0.5082 0.6115837          
                time2017         2.712212    3.772829   0.7189 0.4726016          
                time2018        -3.591002    3.686333  -0.9741 0.3305300          
                time2019         0.081366    3.407600   0.0239 0.9809610          
                fesisAUT.2000   35.388672    9.766745   3.6234 0.0003252 ***      
                fesisAUT.2001  -29.464119    8.951870  -3.2914 0.0010783 **       
                fesisBEL.1999 -115.703886   10.228330 -11.3121 < 2.2e-16 ***      
                fesisBEL.2000   56.106228    9.550380   5.8748 8.439e-09 ***      
                fesisCHN.1997 -124.465149   12.400536 -10.0371 < 2.2e-16 ***      
                fesisCHN.1998   34.814741    9.992854   3.4840 0.0005442 ***      
                fesisDNK.1997  120.724401   12.378912   9.7524 < 2.2e-16 ***      
                fesisDNK.1998  -37.518334   11.425102  -3.2839 0.0011069 **       
                fesisDNK.2000 -109.027392   10.683715 -10.2050 < 2.2e-16 ***      
                fesisDNK.2001   53.402456   10.219584   5.2255 2.703e-07 ***      
                fesisDNK.2006   43.614212    9.528315   4.5773 6.158e-06 ***      
                fesisDNK.2007  -44.019102    9.032355  -4.8735 1.540e-06 ***      
                fesisESP.2003   24.794123    5.840023   4.2456 2.669e-05 ***      
                fesisESP.2007  -30.337068    5.618785  -5.3992 1.104e-07 ***      
                fesisISR.2005   31.291365    6.145858   5.0915 5.306e-07 ***      
                fesisISR.2008  -36.407026    5.662477  -6.4295 3.380e-10 ***      
                fesisNOR.1998  -48.014884   10.689932  -4.4916 9.074e-06 ***      
                fesisNOR.1999   25.888872    9.065298   2.8558 0.0044986 **       
                fesisRUS.1997   32.622786   10.147416   3.2149 0.0014024 **       
                fesisRUS.2000  -56.343290   10.410301  -5.4123 1.032e-07 ***      
                fesisRUS.2001   30.072053    9.085492   3.3099 0.0010112 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   3.4538  1 0.06311 .      
                Ljung-Box ARCH(1) 4.0358  1 0.04454 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.48142      
                R-squared            0.84034      
                Log-lik.(n=502)  -1751.52162      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 03:04:51 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.622133   0.120112  13.5051 < 2.2e-16 ***      
                lpop           -1.453733   0.325563  -4.4653 1.007e-05 ***      
                idAUT           0.938264   0.272164   3.4474 0.0006180 ***      
                idBEL          -0.227134   0.239785  -0.9472 0.3440132          
                idCAN           1.296779   0.160943   8.0574 6.766e-15 ***      
                idCHE           0.366900   0.301829   1.2156 0.2247647          
                idCHN           1.431379   1.261258   1.1349 0.2570159          
                idDEU           3.433885   0.432829   7.9336 1.635e-14 ***      
                idDNK          -3.032260   0.453464  -6.6869 6.626e-11 ***      
                idESP           0.867180   0.275234   3.1507 0.0017350 **       
                idFIN           1.346863   0.432872   3.1115 0.0019775 **       
                idFRA           2.336153   0.363121   6.4335 3.132e-10 ***      
                idGBR           2.349037   0.360341   6.5189 1.866e-10 ***      
                idISR          -1.199492   0.317884  -3.7734 0.0001821 ***      
                idITA           1.274379   0.347306   3.6693 0.0002717 ***      
                idJPN          -3.334858   0.708600  -4.7063 3.343e-06 ***      
                idKOR          -8.425650   0.721619 -11.6760 < 2.2e-16 ***      
                idNLD           1.108836   0.107455  10.3191 < 2.2e-16 ***      
                idNOR          -4.146588   0.512600  -8.0893 5.381e-15 ***      
                idRUS          -3.638261   0.622251  -5.8469 9.503e-09 ***      
                idSWE          -2.068486   0.323429  -6.3955 3.940e-10 ***      
                idUSA           3.110703   0.800933   3.8838 0.0001179 ***      
                time1995      -17.501488   5.020146  -3.4863 0.0005368 ***      
                time1996      -17.368533   5.021944  -3.4585 0.0005937 ***      
                time1997      -17.370253   5.021455  -3.4592 0.0005922 ***      
                time1998      -17.252405   5.023507  -3.4343 0.0006478 ***      
                time1999      -17.126547   5.025842  -3.4077 0.0007127 ***      
                time2000      -17.051416   5.028864  -3.3907 0.0007572 ***      
                time2001      -16.940122   5.030959  -3.3672 0.0008232 ***      
                time2002      -16.940019   5.032150  -3.3664 0.0008255 ***      
                time2003      -16.847854   5.033901  -3.3469 0.0008843 ***      
                time2004      -16.773487   5.036149  -3.3306 0.0009363 ***      
                time2005      -16.682973   5.037902  -3.3115 0.0010011 **       
                time2006      -16.551724   5.041131  -3.2833 0.0011041 **       
                time2007      -16.326235   5.044604  -3.2364 0.0012980 **       
                time2008      -16.149569   5.046992  -3.1998 0.0014701 **       
                time2009      -15.919065   5.046738  -3.1543 0.0017141 **       
                time2010      -15.855694   5.049260  -3.1402 0.0017971 **       
                time2011      -15.848226   5.051372  -3.1374 0.0018139 **       
                time2012      -15.924389   5.053350  -3.1513 0.0017318 **       
                time2013      -16.081017   5.055449  -3.1809 0.0015673 **       
                time2014      -16.167015   5.057738  -3.1965 0.0014869 **       
                time2015      -16.297332   5.059992  -3.2208 0.0013688 **       
                time2016      -16.298154   5.061764  -3.2199 0.0013733 **       
                time2017      -16.220546   5.064061  -3.2031 0.0014541 **       
                time2018      -16.260101   5.066142  -3.2096 0.0014223 **       
                time2019      -16.393448   5.067958  -3.2347 0.0013053 **       
                fesisAUS.2009  -0.377374   0.081831  -4.6116 5.185e-06 ***      
                fesisBEL.1997   0.668511   0.136968   4.8808 1.459e-06 ***      
                fesisCAN.2007  -0.324793   0.076277  -4.2581 2.501e-05 ***      
                fesisCHE.2003  -0.477646   0.080704  -5.9185 6.356e-09 ***      
                fesisCHN.2002   0.562423   0.124579   4.5146 8.070e-06 ***      
                fesisCHN.2016   0.604985   0.126341   4.7885 2.269e-06 ***      
                fesisDNK.1998   0.674880   0.123405   5.4688 7.449e-08 ***      
                fesisDNK.2007   0.728945   0.081348   8.9608 < 2.2e-16 ***      
                fesisESP.2005   0.915665   0.077807  11.7684 < 2.2e-16 ***      
                fesisFIN.1996  -0.680753   0.206591  -3.2952 0.0010596 **       
                fesisFIN.2000  -0.281571   0.102515  -2.7466 0.0062574 **       
                fesisITA.2006   0.371762   0.078627   4.7282 3.017e-06 ***      
                fesisKOR.1997   0.420798   0.148794   2.8281 0.0048875 **       
                fesisKOR.2004   0.797627   0.091063   8.7591 < 2.2e-16 ***      
                fesisRUS.2007  -0.894124   0.089993  -9.9355 < 2.2e-16 ***      
                fesisSWE.2002  -0.984029   0.083609 -11.7695 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   48.835  1 2.784e-12 ***      
                Ljung-Box ARCH(1) 31.140  1 2.401e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.17988      
                R-squared          0.98762      
                Log-lik.(n=523)  186.58340      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 03:04:50 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 523       
                Sample: 1 to 523       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                lgdp            1.5644546   0.1162416  13.4587 < 2.2e-16 ***      
                lpop           -0.3807135   0.3693835  -1.0307 0.3032419          
                idAUT           1.7940403   0.3182801   5.6367 3.046e-08 ***      
                idBEL           0.3812360   0.2632059   1.4484 0.1481849          
                idCAN           0.8054034   0.1799721   4.4752 9.661e-06 ***      
                idCHE           1.3741594   0.3517293   3.9069 0.0001077 ***      
                idCHN          -2.9000976   1.4735731  -1.9681 0.0496666 *        
                idDEU           1.9589209   0.5035267   3.8904 0.0001150 ***      
                idDNK          -1.6221143   0.5007269  -3.2395 0.0012850 **       
                idESP           0.0428503   0.3012819   0.1422 0.8869640          
                idFIN           2.6476049   0.4944029   5.3552 1.359e-07 ***      
                idFRA           1.0240455   0.4188708   2.4448 0.0148726 *        
                idGBR           1.1511702   0.4125730   2.7902 0.0054885 **       
                idISR          -0.0093892   0.3859703  -0.0243 0.9806030          
                idITA           0.1280252   0.3969491   0.3225 0.7472047          
                idJPN          -4.9798487   0.7962811  -6.2539 9.237e-10 ***      
                idKOR          -8.9723989   0.7305957 -12.2809 < 2.2e-16 ***      
                idNLD           1.2756110   0.1112368  11.4675 < 2.2e-16 ***      
                idNOR          -2.4737192   0.5698358  -4.3411 1.749e-05 ***      
                idRUS          -5.5911262   0.7341228  -7.6161 1.527e-13 ***      
                idSWE          -0.9117014   0.3477437  -2.6218 0.0090408 **       
                idUSA           0.3459096   0.9466875   0.3654 0.7149905          
                time1995      -33.8970266   5.9602475  -5.6872 2.313e-08 ***      
                time1996      -33.7671709   5.9623518  -5.6634 2.634e-08 ***      
                time1997      -33.7644663   5.9626421  -5.6627 2.644e-08 ***      
                time1998      -33.6266142   5.9651871  -5.6371 3.038e-08 ***      
                time1999      -33.5042375   5.9678089  -5.6142 3.440e-08 ***      
                time2000      -33.4335632   5.9711057  -5.5992 3.729e-08 ***      
                time2001      -33.3273605   5.9735303  -5.5792 4.155e-08 ***      
                time2002      -33.3438584   5.9747784  -5.5808 4.119e-08 ***      
                time2003      -33.2863572   5.9764083  -5.5696 4.374e-08 ***      
                time2004      -33.1783612   5.9791510  -5.5490 4.885e-08 ***      
                time2005      -33.0893127   5.9809551  -5.5324 5.338e-08 ***      
                time2006      -32.9629394   5.9844511  -5.5081 6.078e-08 ***      
                time2007      -32.7448264   5.9879927  -5.4684 7.503e-08 ***      
                time2008      -32.5756320   5.9908160  -5.4376 8.829e-08 ***      
                time2009      -32.3489354   5.9905181  -5.4000 1.076e-07 ***      
                time2010      -32.2907919   5.9934025  -5.3877 1.147e-07 ***      
                time2011      -32.2718378   5.9931299  -5.3848 1.165e-07 ***      
                time2012      -32.3678916   5.9955282  -5.3987 1.083e-07 ***      
                time2013      -32.5330944   5.9969888  -5.4249 9.439e-08 ***      
                time2014      -32.6253788   5.9996630  -5.4379 8.816e-08 ***      
                time2015      -32.7618465   6.0022953  -5.4582 7.919e-08 ***      
                time2016      -32.7706360   6.0043443  -5.4578 7.935e-08 ***      
                time2017      -32.6983420   6.0069915  -5.4434 8.564e-08 ***      
                time2018      -32.7428875   6.0093957  -5.4486 8.331e-08 ***      
                time2019      -32.8807686   6.0115008  -5.4696 7.454e-08 ***      
                fesisAUS.2009  -0.5025819   0.0822545  -6.1101 2.141e-09 ***      
                fesisBEL.1997   0.6516701   0.1277447   5.1013 4.961e-07 ***      
                fesisCAN.2007  -0.3918647   0.0730550  -5.3640 1.298e-07 ***      
                fesisCHE.2003  -0.5203263   0.0760546  -6.8415 2.539e-11 ***      
                fesisCHN.2002   0.5876249   0.1185577   4.9564 1.015e-06 ***      
                fesisCHN.2016   0.6421941   0.1194678   5.3755 1.223e-07 ***      
                fesisDNK.1998   0.6624250   0.1151240   5.7540 1.603e-08 ***      
                fesisDNK.2007   0.7382371   0.0759870   9.7153 < 2.2e-16 ***      
                fesisESP.2005   0.8488312   0.0741521  11.4472 < 2.2e-16 ***      
                fesisFIN.1996  -0.6911793   0.1924894  -3.5907 0.0003656 ***      
                fesisFIN.2000  -0.2577414   0.0956181  -2.6955 0.0072881 **       
                fesisFRA.2012   0.2842728   0.0748628   3.7973 0.0001661 ***      
                fesisISR.2011  -0.3422740   0.0935239  -3.6597 0.0002821 ***      
                fesisITA.2006   0.3793846   0.0737426   5.1447 3.991e-07 ***      
                fesisKOR.1997   0.3476390   0.1411302   2.4633 0.0141375 *        
                fesisKOR.2003   0.6599313   0.0930198   7.0945 5.002e-12 ***      
                fesisKOR.2013   0.3944422   0.0871560   4.5257 7.694e-06 ***      
                fesisNOR.2013  -0.3505172   0.0802925  -4.3655 1.571e-05 ***      
                fesisRUS.2007  -0.7942177   0.0853287  -9.3077 < 2.2e-16 ***      
                fesisSWE.1998  -0.4911097   0.1316970  -3.7291 0.0002164 ***      
                fesisSWE.2002  -0.7728588   0.0959924  -8.0512 7.226e-15 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   18.950  1 1.342e-05 ***      
                Ljung-Box ARCH(1) 11.367  1 0.0007476 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.16756      
                R-squared          0.98938      
                Log-lik.(n=523)  226.19512      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 03:05:25 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.606741  0.030197 20.0925 < 2.2e-16 ***      
                lgdp           0.870558  0.092869  9.3741 < 2.2e-16 ***      
                lpop          -1.552735  0.318725 -4.8717 1.549e-06 ***      
                idAUT         -0.110927  0.282848 -0.3922 0.6951165          
                idBEL         -0.817700  0.264426 -3.0924 0.0021126 **       
                idCAN          0.904903  0.154034  5.8747 8.392e-09 ***      
                idCHE         -0.722301  0.305330 -2.3656 0.0184337 *        
                idCHN          3.716101  1.253420  2.9648 0.0031945 **       
                idDEU          2.597372  0.440382  5.8980 7.364e-09 ***      
                idDNK         -2.767383  0.455165 -6.0800 2.619e-09 ***      
                idESP          1.133950  0.240981  4.7056 3.400e-06 ***      
                idFIN         -0.672861  0.413604 -1.6268 0.1044939          
                idFRA          1.998720  0.357589  5.5894 4.012e-08 ***      
                idGBR          2.003409  0.351352  5.7020 2.180e-08 ***      
                idISR         -1.448804  0.358641 -4.0397 6.320e-05 ***      
                idITA          1.622917  0.326397  4.9722 9.519e-07 ***      
                idJPN         -0.854013  0.597211 -1.4300 0.1534291          
                idKOR         -3.560050  0.541733 -6.5716 1.417e-10 ***      
                idNLD          0.446004  0.104189  4.2807 2.290e-05 ***      
                idNOR         -3.145577  0.510853 -6.1575 1.673e-09 ***      
                idRUS         -0.331947  0.615233 -0.5395 0.5897838          
                idSWE         -1.560952  0.310591 -5.0258 7.321e-07 ***      
                idUSA          3.337081  0.810677  4.1164 4.600e-05 ***      
                time1996       3.260509  5.002058  0.6518 0.5148505          
                time1997       3.154554  5.003058  0.6305 0.5286799          
                time1998       3.228462  5.003968  0.6452 0.5191480          
                time1999       3.358243  5.006517  0.6708 0.5027179          
                time2000       3.346471  5.008522  0.6682 0.5043863          
                time2001       3.374758  5.010488  0.6735 0.5009598          
                time2002       3.286484  5.012363  0.6557 0.5123771          
                time2003       3.389681  5.013658  0.6761 0.4993407          
                time2004       3.442085  5.015619  0.6863 0.4929039          
                time2005       3.482698  5.017908  0.6941 0.4880164          
                time2006       3.530797  5.019041  0.7035 0.4821301          
                time2007       3.662892  5.022298  0.7293 0.4661921          
                time2008       3.696844  5.024576  0.7358 0.4622751          
                time2009       3.792207  5.025093  0.7547 0.4508620          
                time2010       3.787645  5.027251  0.7534 0.4516008          
                time2011       3.749250  5.029110  0.7455 0.4563636          
                time2012       3.658486  5.031059  0.7272 0.4675041          
                time2013       3.553603  5.033113  0.7060 0.4805357          
                time2014       3.570783  5.035281  0.7092 0.4786071          
                time2015       3.494709  5.037402  0.6938 0.4882053          
                time2016       3.605340  5.039596  0.7154 0.4747414          
                time2017       3.670895  5.041634  0.7281 0.4669316          
                time2018       3.581538  5.043486  0.7101 0.4780006          
                time2019       3.496798  5.045208  0.6931 0.4886187          
                fesisBEL.1997  1.537174  0.235368  6.5309 1.815e-10 ***      
                fesisBEL.1998 -0.968902  0.194140 -4.9907 8.695e-07 ***      
                fesisBEL.2001  0.430425  0.151437  2.8423 0.0046885 **       
                fesisBEL.2003 -0.883756  0.203706 -4.3384 1.784e-05 ***      
                fesisBEL.2004  0.633358  0.171822  3.6861 0.0002563 ***      
                fesisBEL.2019 -0.572960  0.171410 -3.3426 0.0009011 ***      
                fesisCHN.1997  0.557243  0.177429  3.1407 0.0017999 **       
                fesisDNK.1998  1.433904  0.204487  7.0122 8.936e-12 ***      
                fesisDNK.1999 -1.012320  0.182327 -5.5522 4.897e-08 ***      
                fesisDNK.2005  0.405357  0.082689  4.9022 1.337e-06 ***      
                fesisESP.2003  0.452896  0.081111  5.5836 4.139e-08 ***      
                fesisISR.2006  0.501221  0.114469  4.3787 1.495e-05 ***      
                fesisISR.2009 -0.407247  0.111352 -3.6573 0.0002859 ***      
                fesisRUS.1998  0.789452  0.203774  3.8742 0.0001233 ***      
                fesisRUS.1999 -0.786495  0.177010 -4.4432 1.124e-05 ***      
                fesisRUS.2007 -0.484465  0.086691 -5.5884 4.034e-08 ***      
                fesisSWE.1998 -0.564375  0.127897 -4.4127 1.287e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   2.5652  1 0.10924        
                Ljung-Box ARCH(1) 5.8053  1 0.01598 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.16170      
                R-squared          0.98979      
                Log-lik.(n=502)  234.32803      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 03:05:23 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 502       
                Sample: 1 to 502       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.605780  0.030986 19.5500 < 2.2e-16 ***      
                lgdp           0.910786  0.091569  9.9464 < 2.2e-16 ***      
                lpop          -1.443709  0.307217 -4.6993 3.531e-06 ***      
                idAUT          0.315186  0.306618  1.0279 0.3045608          
                idBEL         -0.628958  0.251878 -2.4971 0.0128997 *        
                idCAN          0.851364  0.148556  5.7309 1.895e-08 ***      
                idCHE         -0.465883  0.302282 -1.5412 0.1240071          
                idCHN          3.231855  1.202435  2.6878 0.0074759 **       
                idDEU          2.427663  0.425234  5.7090 2.136e-08 ***      
                idDNK         -2.606111  0.439265 -5.9329 6.178e-09 ***      
                idESP          1.091592  0.231981  4.7055 3.431e-06 ***      
                idFIN         -0.441342  0.395877 -1.1148 0.2655459          
                idFRA          1.867736  0.344953  5.4145 1.030e-07 ***      
                idGBR          1.882482  0.339141  5.5507 5.017e-08 ***      
                idISR         -1.252821  0.347518 -3.6051 0.0003491 ***      
                idITA          1.507567  0.314445  4.7944 2.261e-06 ***      
                idJPN         -1.280551  0.572294 -2.2376 0.0257662 *        
                idKOR         -3.919238  0.527666 -7.4275 6.116e-13 ***      
                idNLD          0.508405  0.100119  5.0780 5.718e-07 ***      
                idNOR         -2.615761  0.531151 -4.9247 1.212e-06 ***      
                idRUS         -0.430431  0.599807 -0.7176 0.4733887          
                idSWE         -1.475549  0.299742 -4.9227 1.223e-06 ***      
                idUSA          2.956217  0.778854  3.7956 0.0001687 ***      
                time1996       0.252860  4.788613  0.0528 0.9579126          
                time1997       0.209286  4.790086  0.0437 0.9651709          
                time1998       0.282821  4.790466  0.0590 0.9529493          
                time1999       0.393985  4.793100  0.0822 0.9345277          
                time2000       0.357751  4.794975  0.0746 0.9405604          
                time2001       0.403914  4.796450  0.0842 0.9329282          
                time2002       0.326214  4.798185  0.0680 0.9458280          
                time2003       0.459821  4.799353  0.0958 0.9237174          
                time2004       0.479894  4.800842  0.1000 0.9204229          
                time2005       0.567969  4.802208  0.1183 0.9059076          
                time2006       0.573186  4.803830  0.1193 0.9050793          
                time2007       0.703331  4.806886  0.1463 0.8837403          
                time2008       0.736068  4.809026  0.1531 0.8784238          
                time2009       0.832777  4.809497  0.1732 0.8626139          
                time2010       0.826306  4.811538  0.1717 0.8637283          
                time2011       0.786376  4.813300  0.1634 0.8703003          
                time2012       0.694473  4.815159  0.1442 0.8853901          
                time2013       0.588226  4.817135  0.1221 0.9028687          
                time2014       0.603699  4.819231  0.1253 0.9003700          
                time2015       0.526013  4.821269  0.1091 0.9131727          
                time2016       0.634889  4.823384  0.1316 0.8953414          
                time2017       0.698730  4.825325  0.1448 0.8849337          
                time2018       0.607916  4.827079  0.1259 0.8998401          
                time2019       0.523097  4.828739  0.1083 0.9137850          
                fesisAUT.1997 -0.577164  0.191880 -3.0079 0.0027866 **       
                fesisAUT.1999  0.333282  0.116341  2.8647 0.0043811 **       
                fesisBEL.1997  1.472678  0.221881  6.6372 9.768e-11 ***      
                fesisBEL.1998 -0.949464  0.183301 -5.1798 3.437e-07 ***      
                fesisBEL.2001  0.426833  0.142226  3.0011 0.0028486 **       
                fesisBEL.2003 -0.920374  0.191363 -4.8096 2.103e-06 ***      
                fesisBEL.2004  0.790746  0.221370  3.5721 0.0003947 ***      
                fesisBEL.2005 -0.655190  0.220296 -2.9741 0.0031056 **       
                fesisBEL.2006  0.547225  0.161563  3.3871 0.0007722 ***      
                fesisBEL.2019 -0.599485  0.161565 -3.7105 0.0002343 ***      
                fesisCHE.2003 -0.603125  0.166675 -3.6186 0.0003319 ***      
                fesisCHE.2004  0.479271  0.161698  2.9640 0.0032077 **       
                fesisCHN.1997  0.870852  0.221637  3.9292 9.946e-05 ***      
                fesisCHN.1998 -0.428241  0.168119 -2.5473 0.0112087 *        
                fesisDNK.1998  1.400562  0.192064  7.2921 1.503e-12 ***      
                fesisDNK.1999 -0.998045  0.171512 -5.8191 1.166e-08 ***      
                fesisDNK.2005  0.396673  0.077754  5.1016 5.085e-07 ***      
                fesisESP.2003  0.422514  0.076879  5.4958 6.716e-08 ***      
                fesisISR.2005 -0.369850  0.167648 -2.2061 0.0279106 *        
                fesisISR.2006  0.810645  0.179792  4.5088 8.443e-06 ***      
                fesisISR.2009 -0.424163  0.104588 -4.0556 5.950e-05 ***      
                fesisNOR.1997 -0.481451  0.181811 -2.6481 0.0083963 **       
                fesisNOR.2000  0.463286  0.179804  2.5766 0.0103139 *        
                fesisNOR.2001 -0.402054  0.160168 -2.5102 0.0124366 *        
                fesisRUS.1997 -0.474788  0.221488 -2.1436 0.0326300 *        
                fesisRUS.1998  0.998126  0.220861  4.5192 8.055e-06 ***      
                fesisRUS.1999 -0.785088  0.166309 -4.7207 3.197e-06 ***      
                fesisRUS.2007 -0.488742  0.082903 -5.8954 7.626e-09 ***      
                fesisSWE.1998 -0.393014  0.136251 -2.8845 0.0041198 **       
                fesisSWE.2002 -0.250940  0.091587 -2.7399 0.0064044 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   0.92396  1  0.3364      
                Ljung-Box ARCH(1) 2.16710  1  0.1410      
                                                
                SE of regression   0.15169      
                R-squared          0.99128      
                Log-lik.(n=502)  272.91938      

Solar

with IIS

Count

AR 0

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 03:11:00 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 513       
                Sample: 1 to 513       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.2016e-13  4.0603e-14   5.4221 9.809e-08 ***      
                pop            7.8381e-06  3.3845e-07  23.1587 < 2.2e-16 ***      
                idAUT          8.6618e+01  1.1267e+01   7.6881 1.013e-13 ***      
                idBEL          6.3272e+01  1.0976e+01   5.7644 1.559e-08 ***      
                idCAN         -9.4015e+01  1.1135e+01  -8.4429 4.711e-16 ***      
                idCHE          1.0730e+02  1.1352e+01   9.4521 < 2.2e-16 ***      
                idCHN         -1.0018e+04  4.3319e+02 -23.1261 < 2.2e-16 ***      
                idDEU         -3.7713e+02  2.4718e+01 -15.2573 < 2.2e-16 ***      
                idDNK          9.0624e+01  1.2495e+01   7.2529 1.895e-12 ***      
                idESP         -1.7845e+02  1.2939e+01 -13.7914 < 2.2e-16 ***      
                idFIN          9.5941e+01  1.1698e+01   8.2014 2.730e-15 ***      
                idFRA         -2.8288e+02  1.7730e+01 -15.9545 < 2.2e-16 ***      
                idGBR         -2.9828e+02  1.7206e+01 -17.3353 < 2.2e-16 ***      
                idISR          1.0611e+02  1.1640e+01   9.1157 < 2.2e-16 ***      
                idITA         -2.7875e+02  1.6359e+01 -17.0397 < 2.2e-16 ***      
                idJPN         -6.4695e+02  4.2313e+01 -15.2894 < 2.2e-16 ***      
                idKOR         -3.7618e+02  4.2416e+01  -8.8687 < 2.2e-16 ***      
                idNLD          3.5351e+01  1.0513e+01   3.3627 0.0008406 ***      
                idNOR          9.8355e+01  1.1783e+01   8.3476 9.466e-16 ***      
                idRUS         -1.0119e+03  4.2909e+01 -23.5832 < 2.2e-16 ***      
                idSWE          6.9137e+01  1.1144e+01   6.2039 1.289e-09 ***      
                idUSA         -1.9234e+03  8.9474e+01 -21.4971 < 2.2e-16 ***      
                time1995      -1.5151e+02  1.3068e+01 -11.5946 < 2.2e-16 ***      
                time1996      -1.5324e+02  1.3106e+01 -11.6924 < 2.2e-16 ***      
                time1997      -1.5460e+02  1.2895e+01 -11.9885 < 2.2e-16 ***      
                time1998      -1.5184e+02  1.2948e+01 -11.7271 < 2.2e-16 ***      
                time1999      -1.4772e+02  1.2980e+01 -11.3802 < 2.2e-16 ***      
                time2000      -1.4526e+02  1.3016e+01 -11.1602 < 2.2e-16 ***      
                time2001      -1.4431e+02  1.2936e+01 -11.1555 < 2.2e-16 ***      
                time2002      -1.4784e+02  1.2978e+01 -11.3911 < 2.2e-16 ***      
                time2003      -1.4036e+02  1.2831e+01 -10.9391 < 2.2e-16 ***      
                time2004      -1.3754e+02  1.2942e+01 -10.6274 < 2.2e-16 ***      
                time2005      -1.2773e+02  1.3056e+01  -9.7836 < 2.2e-16 ***      
                time2006      -1.2534e+02  1.3149e+01  -9.5329 < 2.2e-16 ***      
                time2007      -1.1393e+02  1.2699e+01  -8.9721 < 2.2e-16 ***      
                time2008      -9.3474e+01  1.2841e+01  -7.2792 1.593e-12 ***      
                time2009      -9.3633e+01  1.3116e+01  -7.1386 4.005e-12 ***      
                time2010      -8.9004e+01  1.3193e+01  -6.7462 4.878e-11 ***      
                time2011      -9.0412e+01  1.3288e+01  -6.8042 3.395e-11 ***      
                time2012      -1.0135e+02  1.3277e+01  -7.6333 1.474e-13 ***      
                time2013      -1.1654e+02  1.3405e+01  -8.6936 < 2.2e-16 ***      
                time2014      -1.3572e+02  1.3525e+01 -10.0346 < 2.2e-16 ***      
                time2015      -1.3948e+02  1.3536e+01 -10.3048 < 2.2e-16 ***      
                time2016      -1.3108e+02  1.3646e+01  -9.6061 < 2.2e-16 ***      
                time2017      -1.2776e+02  1.3704e+01  -9.3229 < 2.2e-16 ***      
                time2018      -1.3077e+02  1.3812e+01  -9.4681 < 2.2e-16 ***      
                time2019      -1.6988e+02  1.3896e+01 -12.2246 < 2.2e-16 ***      
                iis126         5.2967e+02  4.7991e+01  11.0367 < 2.2e-16 ***      
                iis127         4.3366e+02  4.6242e+01   9.3781 < 2.2e-16 ***      
                iis128         3.4619e+02  4.4883e+01   7.7132 8.520e-14 ***      
                iis129         2.6793e+02  4.3858e+01   6.1090 2.235e-09 ***      
                iis130         1.9685e+02  4.3072e+01   4.5702 6.365e-06 ***      
                iis131         1.3598e+02  4.2558e+01   3.1951 0.0014999 **       
                iis163         1.9792e+02  4.3570e+01   4.5426 7.216e-06 ***      
                iis164         1.9181e+02  4.3566e+01   4.4028 1.348e-05 ***      
                iis165         2.3266e+02  4.3571e+01   5.3399 1.505e-07 ***      
                iis355         3.8192e+02  4.3572e+01   8.7652 < 2.2e-16 ***      
                iis356         7.8933e+02  4.3562e+01  18.1197 < 2.2e-16 ***      
                iis357         7.3623e+02  4.3558e+01  16.9023 < 2.2e-16 ***      
                iis358         4.1545e+02  4.3514e+01   9.5474 < 2.2e-16 ***      
                iis359         2.9376e+02  4.3506e+01   6.7521 4.702e-11 ***      
                iis360         1.4438e+02  4.3506e+01   3.3187 0.0009809 ***      
                iis501         1.5296e+02  5.3270e+01   2.8715 0.0042864 **       
                iis502         7.6484e+02  4.3885e+01  17.4283 < 2.2e-16 ***      
                iis503         9.2127e+02  4.3856e+01  21.0069 < 2.2e-16 ***      
                iis504         9.3874e+02  4.3776e+01  21.4440 < 2.2e-16 ***      
                iis505         7.9690e+02  4.3721e+01  18.2272 < 2.2e-16 ***      
                iis506         5.9579e+02  4.3641e+01  13.6521 < 2.2e-16 ***      
                iis507         5.3403e+02  4.3588e+01  12.2520 < 2.2e-16 ***      
                iis508         3.4391e+02  4.3555e+01   7.8959 2.392e-14 ***      
                iis509         3.7651e+02  4.3501e+01   8.6552 < 2.2e-16 ***      
                iis510         2.1494e+02  4.3484e+01   4.9429 1.102e-06 ***      
                fesisCHN.2007 -1.7417e+02  3.0131e+01  -5.7806 1.426e-08 ***      
                fesisDEU.2007  3.7113e+02  2.4366e+01  15.2313 < 2.2e-16 ***      
                fesisDEU.2013 -2.3099e+02  2.6049e+01  -8.8674 < 2.2e-16 ***      
                fesisJPN.2008  4.2774e+02  2.4215e+01  17.6647 < 2.2e-16 ***      
                fesisJPN.2017 -2.5645e+02  3.0795e+01  -8.3275 1.096e-15 ***      
                fesisKOR.2009  4.2220e+02  2.9502e+01  14.3111 < 2.2e-16 ***      
                fesisUSA.2006  3.1255e+02  3.9669e+01   7.8788 2.697e-14 ***      
                fesisUSA.2008 -2.8123e+02  4.4300e+01  -6.3485 5.497e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   70.239  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 48.078  1 4.095e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    36.71999      
                R-squared            0.98134      
                Log-lik.(n=513)  -2536.41932      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 03:10:58 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 513       
                Sample: 1 to 513       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.2015e-13  3.7787e-14   5.8261 1.112e-08 ***      
                pop            6.9600e-06  3.3728e-07  20.6357 < 2.2e-16 ***      
                idAUT          7.5283e+01  1.0598e+01   7.1035 5.062e-12 ***      
                idBEL          5.4052e+01  1.0291e+01   5.2522 2.367e-07 ***      
                idCAN         -8.3594e+01  1.0459e+01  -7.9922 1.226e-14 ***      
                idCHE          9.5405e+01  1.0688e+01   8.9264 < 2.2e-16 ***      
                idCHN         -8.7492e+03  4.2421e+02 -20.6248 < 2.2e-16 ***      
                idDEU         -3.2267e+02  2.4189e+01 -13.3394 < 2.2e-16 ***      
                idDNK          7.6364e+01  1.1790e+01   6.4769 2.558e-10 ***      
                idESP         -1.5843e+02  1.2350e+01 -12.8283 < 2.2e-16 ***      
                idFIN          8.1967e+01  1.1053e+01   7.4161 6.458e-13 ***      
                idFRA         -2.4559e+02  1.7276e+01 -14.2159 < 2.2e-16 ***      
                idGBR         -2.6268e+02  1.6741e+01 -15.6907 < 2.2e-16 ***      
                idISR          9.3754e+01  1.0963e+01   8.5521 < 2.2e-16 ***      
                idITA         -2.4595e+02  1.5875e+01 -15.4932 < 2.2e-16 ***      
                idJPN         -5.5364e+02  4.1406e+01 -13.3711 < 2.2e-16 ***      
                idKOR         -3.5261e+02  3.9592e+01  -8.9060 < 2.2e-16 ***      
                idNLD          3.1123e+01  9.7987e+00   3.1762 0.0015991 **       
                idNOR          8.3926e+01  1.1141e+01   7.5331 2.939e-13 ***      
                idRUS         -9.0392e+02  4.2595e+01 -21.2215 < 2.2e-16 ***      
                idSWE          5.8668e+01  1.0468e+01   5.6043 3.736e-08 ***      
                idUSA         -1.6939e+03  8.9038e+01 -19.0244 < 2.2e-16 ***      
                time1995      -1.3533e+02  1.2360e+01 -10.9487 < 2.2e-16 ***      
                time1996      -1.3677e+02  1.2402e+01 -11.0288 < 2.2e-16 ***      
                time1997      -1.3755e+02  1.2224e+01 -11.2520 < 2.2e-16 ***      
                time1998      -1.3456e+02  1.2278e+01 -10.9592 < 2.2e-16 ***      
                time1999      -1.3022e+02  1.2314e+01 -10.5747 < 2.2e-16 ***      
                time2000      -1.2753e+02  1.2353e+01 -10.3241 < 2.2e-16 ***      
                time2001      -1.2502e+02  1.2193e+01 -10.2534 < 2.2e-16 ***      
                time2002      -1.3088e+02  1.2313e+01 -10.6287 < 2.2e-16 ***      
                time2003      -1.2238e+02  1.2191e+01 -10.0381 < 2.2e-16 ***      
                time2004      -1.1902e+02  1.2307e+01  -9.6706 < 2.2e-16 ***      
                time2005      -1.0868e+02  1.2426e+01  -8.7461 < 2.2e-16 ***      
                time2006      -1.0639e+02  1.2507e+01  -8.5071 2.971e-16 ***      
                time2007      -9.0143e+01  1.2136e+01  -7.4280 5.964e-13 ***      
                time2008      -7.8981e+01  1.2290e+01  -6.4264 3.467e-10 ***      
                time2009      -7.5057e+01  1.2470e+01  -6.0190 3.757e-09 ***      
                time2010      -6.9974e+01  1.2553e+01  -5.5745 4.385e-08 ***      
                time2011      -7.0885e+01  1.2653e+01  -5.6023 3.778e-08 ***      
                time2012      -8.3645e+01  1.2777e+01  -6.5467 1.675e-10 ***      
                time2013      -9.5935e+01  1.2792e+01  -7.4998 3.679e-13 ***      
                time2014      -1.1455e+02  1.2917e+01  -8.8682 < 2.2e-16 ***      
                time2015      -1.1793e+02  1.2941e+01  -9.1127 < 2.2e-16 ***      
                time2016      -1.0904e+02  1.3056e+01  -8.3517 9.285e-16 ***      
                time2017      -1.0554e+02  1.3113e+01  -8.0491 8.191e-15 ***      
                time2018      -1.2158e+02  1.2910e+01  -9.4177 < 2.2e-16 ***      
                time2019      -1.4686e+02  1.3312e+01 -11.0320 < 2.2e-16 ***      
                iis126         3.2389e+02  4.5504e+01   7.1179 4.611e-12 ***      
                iis127         2.3807e+02  4.4360e+01   5.3669 1.311e-07 ***      
                iis128         1.5986e+02  4.3594e+01   3.6670 0.0002760 ***      
                iis129         9.0073e+01  4.3140e+01   2.0879 0.0373923 *        
                iis147         2.8310e+02  3.9100e+01   7.2406 2.069e-12 ***      
                iis162         1.9578e+02  4.9588e+01   3.9482 9.195e-05 ***      
                iis163         3.1778e+02  4.9634e+01   6.4025 3.999e-10 ***      
                iis164         3.1111e+02  4.9632e+01   6.2684 8.864e-10 ***      
                iis165         3.5014e+02  4.9644e+01   7.0530 7.014e-12 ***      
                iis166         1.6274e+02  4.9648e+01   3.2780 0.0011302 **       
                iis355         3.8325e+02  4.0546e+01   9.4523 < 2.2e-16 ***      
                iis356         7.9023e+02  4.0536e+01  19.4946 < 2.2e-16 ***      
                iis357         7.3642e+02  4.0531e+01  18.1691 < 2.2e-16 ***      
                iis358         4.1728e+02  4.0527e+01  10.2963 < 2.2e-16 ***      
                iis359         2.9253e+02  4.0483e+01   7.2261 2.275e-12 ***      
                iis360         1.4245e+02  4.0483e+01   3.5187 0.0004797 ***      
                iis501         1.5062e+02  4.9588e+01   3.0375 0.0025307 **       
                iis502         7.4858e+02  4.0949e+01  18.2806 < 2.2e-16 ***      
                iis503         9.0328e+02  4.0880e+01  22.0957 < 2.2e-16 ***      
                iis504         9.2254e+02  4.0792e+01  22.6155 < 2.2e-16 ***      
                iis505         7.8219e+02  4.0730e+01  19.2043 < 2.2e-16 ***      
                iis506         5.8491e+02  4.0678e+01  14.3790 < 2.2e-16 ***      
                iis507         5.2217e+02  4.0589e+01  12.8651 < 2.2e-16 ***      
                iis508         3.3353e+02  4.0550e+01   8.2251 2.326e-15 ***      
                iis509         3.6781e+02  4.0493e+01   9.0832 < 2.2e-16 ***      
                iis510         2.0780e+02  4.0471e+01   5.1345 4.292e-07 ***      
                fesisCHN.2003 -1.4612e+02  3.1309e+01  -4.6672 4.083e-06 ***      
                fesisCHN.2007 -1.4120e+02  2.8389e+01  -4.9736 9.506e-07 ***      
                fesisDEU.2007  2.5016e+02  3.6509e+01   6.8519 2.528e-11 ***      
                fesisDEU.2013 -1.1239e+02  3.7533e+01  -2.9945 0.0029070 **       
                fesisJPN.2008  4.2698e+02  2.2540e+01  18.9431 < 2.2e-16 ***      
                fesisJPN.2017 -2.5577e+02  2.8659e+01  -8.9247 < 2.2e-16 ***      
                fesisKOR.2009  4.2360e+02  2.7459e+01  15.4267 < 2.2e-16 ***      
                fesisUSA.2006  3.2607e+02  3.6957e+01   8.8229 < 2.2e-16 ***      
                fesisUSA.2008 -2.5550e+02  4.1369e+01  -6.1762 1.520e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   77.423  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 12.429  1 0.0004228 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    34.16556      
                R-squared            0.98392      
                Log-lik.(n=513)  -2498.43041      

AR 1

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 03:10:54 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 492       
                Sample: 1 to 492       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            7.6772e-01  1.3561e-02  56.6140 < 2.2e-16 ***      
                gdp           -7.0256e-14  3.4699e-14  -2.0247 0.0435240 *        
                pop            8.4152e-07  1.4595e-07   5.7658 1.574e-08 ***      
                idAUT          7.0282e+00  6.6081e+00   1.0636 0.2881332          
                idBEL          3.5556e+00  6.5170e+00   0.5456 0.5856401          
                idCAN         -1.0426e+01  6.5717e+00  -1.5865 0.1133794          
                idCHE          1.1465e+01  6.6445e+00   1.7256 0.0851619 .        
                idCHN         -1.0542e+03  1.8791e+02  -5.6102 3.669e-08 ***      
                idDEU         -1.1409e+01  1.2161e+01  -0.9382 0.3486938          
                idDNK          3.8797e+00  7.2912e+00   0.5321 0.5949296          
                idESP         -1.9143e+01  7.1616e+00  -2.6731 0.0078079 **       
                idFIN          6.0239e+00  6.7398e+00   0.8938 0.3719524          
                idFRA         -2.1749e+01  8.7987e+00  -2.4718 0.0138386 *        
                idGBR         -2.9437e+01  8.6391e+00  -3.4074 0.0007190 ***      
                idISR          1.1210e+01  6.8061e+00   1.6470 0.1002980          
                idITA         -2.7736e+01  8.3297e+00  -3.3297 0.0009459 ***      
                idJPN          3.1479e+01  2.3447e+01   1.3426 0.1801368          
                idKOR          5.3453e+01  3.4182e+01   1.5638 0.1186201          
                idNLD          4.0438e+00  6.3776e+00   0.6341 0.5263832          
                idNOR          6.1222e+00  6.7671e+00   0.9047 0.3661379          
                idRUS         -1.0734e+02  1.9219e+01  -5.5850 4.199e-08 ***      
                idSWE          4.2735e+00  6.5695e+00   0.6505 0.5157183          
                idUSA         -1.6819e+02  3.9200e+01  -4.2907 2.212e-05 ***      
                time1996      -2.0721e+01  7.4315e+00  -2.7883 0.0055385 **       
                time1997      -2.0377e+01  7.4399e+00  -2.7388 0.0064276 **       
                time1998      -1.5684e+01  7.0240e+00  -2.2330 0.0260753 *        
                time1999      -1.2276e+01  7.0498e+00  -1.7414 0.0823465 .        
                time2000      -1.2414e+01  7.0756e+00  -1.7545 0.0800726 .        
                time2001      -1.4147e+01  7.1070e+00  -1.9906 0.0471677 *        
                time2002      -1.6730e+01  7.0697e+00  -2.3664 0.0184128 *        
                time2003      -1.0352e+01  7.1057e+00  -1.4569 0.1458966          
                time2004      -7.1183e+00  7.1384e+00  -0.9972 0.3192515          
                time2005       1.3977e+00  7.1723e+00   0.1949 0.8455835          
                time2006       8.4719e-02  7.1948e+00   0.0118 0.9906106          
                time2007       1.5645e-01  7.2835e+00   0.0215 0.9828722          
                time2008       1.0307e+01  7.4826e+00   1.3775 0.1690887          
                time2009       2.0121e+01  7.4682e+00   2.6943 0.0073364 **       
                time2010       3.7216e+00  7.5002e+00   0.4962 0.6200138          
                time2011       5.5331e-01  7.4820e+00   0.0740 0.9410841          
                time2012      -1.5527e+01  7.5250e+00  -2.0633 0.0396926 *        
                time2013      -1.2344e+01  7.5516e+00  -1.6346 0.1028844          
                time2014      -1.8075e+01  7.5679e+00  -2.3883 0.0173646 *        
                time2015      -1.2170e+01  7.3166e+00  -1.6633 0.0969929 .        
                time2016      -7.5325e+00  7.4754e+00  -1.0076 0.3142061          
                time2017      -1.0613e+01  7.5694e+00  -1.4021 0.1616152          
                time2018      -7.1815e+00  7.4581e+00  -0.9629 0.3361406          
                time2019      -2.1703e+01  7.5217e+00  -2.8854 0.0041108 **       
                iis140         1.0799e+02  2.6069e+01   4.1424 4.156e-05 ***      
                iis142        -2.9109e+02  2.6730e+01 -10.8902 < 2.2e-16 ***      
                iis155         8.8013e+01  2.5240e+01   3.4871 0.0005396 ***      
                iis160        -8.5708e+01  2.4167e+01  -3.5465 0.0004343 ***      
                iis340         2.4016e+02  2.7831e+01   8.6292 < 2.2e-16 ***      
                iis341         3.4305e+02  2.7613e+01  12.4233 < 2.2e-16 ***      
                iis343        -6.7081e+01  2.5780e+01  -2.6020 0.0095943 **       
                iis348        -9.8188e+01  2.4395e+01  -4.0250 6.757e-05 ***      
                iis371         2.6793e+02  2.6282e+01  10.1943 < 2.2e-16 ***      
                iis481         2.0425e+02  2.6042e+01   7.8433 3.648e-14 ***      
                iis482         8.2549e+01  2.6525e+01   3.1121 0.0019840 **       
                iis487        -1.2585e+02  2.4653e+01  -5.1050 5.020e-07 ***      
                iis489        -1.1747e+02  2.4753e+01  -4.7457 2.852e-06 ***      
                iis490        -1.8589e+02  2.5007e+01  -7.4335 5.965e-13 ***      
                iis492        -1.8046e+02  2.5266e+01  -7.1423 4.063e-12 ***      
                fesisCHN.2015  1.4416e+02  1.8253e+01   7.8976 2.497e-14 ***      
                fesisDEU.2007  1.4541e+02  1.4397e+01  10.1000 < 2.2e-16 ***      
                fesisDEU.2012 -1.6490e+02  1.4414e+01 -11.4401 < 2.2e-16 ***      
                fesisJPN.2008  2.4077e+02  1.9486e+01  12.3557 < 2.2e-16 ***      
                fesisJPN.2012 -2.3448e+02  1.8570e+01 -12.6271 < 2.2e-16 ***      
                fesisKOR.2007  1.9064e+02  2.0334e+01   9.3750 < 2.2e-16 ***      
                fesisKOR.2016 -6.6047e+01  1.9010e+01  -3.4743 0.0005653 ***      
                fesisUSA.2006  2.5658e+02  1.6906e+01  15.1774 < 2.2e-16 ***      
                fesisUSA.2011 -1.6834e+02  1.6747e+01 -10.0519 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df   p-value          
                Ljung-Box AR(1)    0.88477  1    0.3469          
                Ljung-Box ARCH(1) 23.10194  1 1.536e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    21.95599      
                R-squared            0.99345      
                Log-lik.(n=492)  -2182.42548      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 03:10:53 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 492       
                Sample: 1 to 492       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.6022e-01  1.7583e-02  48.9232 < 2.2e-16 ***      
                gdp            6.1811e-14  3.3815e-14   1.8279 0.0682905 .        
                pop            5.3558e-07  1.3075e-07   4.0962 5.063e-05 ***      
                idAUT          4.5818e+00  5.6536e+00   0.8104 0.4181692          
                idBEL          2.2168e+00  5.5695e+00   0.3980 0.6908199          
                idCAN         -6.7751e+00  5.6332e+00  -1.2027 0.2297786          
                idCHE          7.3163e+00  5.7019e+00   1.2831 0.2001706          
                idCHN         -6.7023e+02  1.6808e+02  -3.9876 7.903e-05 ***      
                idDEU         -1.5548e+00  1.0465e+01  -0.1486 0.8819639          
                idDNK          2.5147e+00  6.2317e+00   0.4035 0.6867714          
                idESP         -1.2106e+01  6.1827e+00  -1.9580 0.0509049 .        
                idFIN          4.0197e+00  5.7632e+00   0.6975 0.4858976          
                idFRA         -1.3429e+01  7.5888e+00  -1.7696 0.0775312 .        
                idGBR         -1.8916e+01  7.5004e+00  -2.5220 0.0120459 *        
                idISR          7.5754e+00  5.8341e+00   1.2985 0.1948575          
                idITA         -1.7707e+01  7.2297e+00  -2.4492 0.0147335 *        
                idJPN         -2.7302e+01  2.1429e+01  -1.2741 0.2033554          
                idKOR         -6.5272e+01  3.3028e+01  -1.9763 0.0487962 *        
                idNLD          2.9551e+00  5.4495e+00   0.5423 0.5879200          
                idNOR          3.6943e+00  5.7874e+00   0.6383 0.5236140          
                idRUS         -7.5976e+01  1.7232e+01  -4.4089 1.329e-05 ***      
                idSWE          2.5430e+00  5.6148e+00   0.4529 0.6508531          
                idUSA         -9.9817e+01  3.4662e+01  -2.8797 0.0041893 **       
                time1996      -1.2682e+01  6.4067e+00  -1.9796 0.0484199 *        
                time1997      -1.2790e+01  6.4105e+00  -1.9952 0.0466872 *        
                time1998      -8.6209e+00  6.0459e+00  -1.4259 0.1546559          
                time1999      -5.9330e+00  6.0625e+00  -0.9786 0.3283343          
                time2000      -7.1059e+00  6.0759e+00  -1.1695 0.2428730          
                time2001      -9.4545e+00  6.0979e+00  -1.5504 0.1218080          
                time2002      -1.2681e+01  6.0638e+00  -2.0912 0.0371239 *        
                time2003      -6.3556e+00  6.0971e+00  -1.0424 0.2978397          
                time2004      -3.9820e+00  6.1201e+00  -0.6506 0.5156376          
                time2005       3.5382e+00  6.1434e+00   0.5759 0.5649769          
                time2006       5.2835e-01  6.2035e+00   0.0852 0.9321680          
                time2007       6.9008e+00  6.3273e+00   1.0906 0.2760784          
                time2008       7.7204e+00  6.4883e+00   1.1899 0.2347770          
                time2009       1.6910e+01  6.4488e+00   2.6222 0.0090629 **       
                time2010      -6.6173e-01  6.4470e+00  -0.1026 0.9182972          
                time2011      -3.7256e+00  6.4552e+00  -0.5772 0.5641546          
                time2012      -6.8982e+00  6.5597e+00  -1.0516 0.2935953          
                time2013      -1.2263e+01  6.4971e+00  -1.8874 0.0598104 .        
                time2014      -1.4525e+01  6.5410e+00  -2.2207 0.0269192 *        
                time2015      -1.1706e+01  6.3186e+00  -1.8527 0.0646439 .        
                time2016      -6.0273e+00  6.4028e+00  -0.9414 0.3470759          
                time2017      -8.2114e+00  6.4752e+00  -1.2681 0.2054688          
                time2018      -8.0216e-01  6.4584e+00  -0.1242 0.9012153          
                time2019      -1.8417e+01  6.4641e+00  -2.8492 0.0046042 **       
                iis140         1.0351e+02  2.2283e+01   4.6454 4.579e-06 ***      
                iis142        -3.2874e+02  2.3525e+01 -13.9742 < 2.2e-16 ***      
                iis155         1.0638e+02  2.1763e+01   4.8880 1.465e-06 ***      
                iis159        -9.9669e+01  2.2236e+01  -4.4824 9.591e-06 ***      
                iis160        -1.1613e+02  2.1227e+01  -5.4711 7.799e-08 ***      
                iis339         1.6046e+02  3.3059e+01   4.8537 1.725e-06 ***      
                iis340         3.5011e+02  3.0648e+01  11.4233 < 2.2e-16 ***      
                iis341         4.1157e+02  2.8168e+01  14.6115 < 2.2e-16 ***      
                iis343        -1.5525e+02  2.4458e+01  -6.3477 5.801e-10 ***      
                iis345        -5.1321e+01  2.1835e+01  -2.3504 0.0192282 *        
                iis348        -1.1437e+02  2.1592e+01  -5.2968 1.927e-07 ***      
                iis349        -7.3821e+01  2.2016e+01  -3.3530 0.0008736 ***      
                iis363         6.7608e+01  2.2720e+01   2.9757 0.0030963 **       
                iis364         6.9209e+01  2.2342e+01   3.0977 0.0020847 **       
                iis371         2.9588e+02  2.2580e+01  13.1034 < 2.2e-16 ***      
                iis479         7.3278e+01  2.5897e+01   2.8296 0.0048901 **       
                iis481         2.2964e+02  2.3818e+01   9.6413 < 2.2e-16 ***      
                iis482         7.4877e+01  2.3796e+01   3.1466 0.0017722 **       
                iis485        -9.7692e+01  2.3608e+01  -4.1382 4.251e-05 ***      
                iis487        -1.2499e+02  2.3836e+01  -5.2438 2.526e-07 ***      
                iis489        -1.2034e+02  2.7833e+01  -4.3235 1.930e-05 ***      
                iis490        -1.7661e+02  2.7424e+01  -6.4398 3.353e-10 ***      
                iis492        -1.5850e+02  2.7248e+01  -5.8169 1.209e-08 ***      
                fesisCHN.2015  1.2958e+02  1.5720e+01   8.2433 2.289e-15 ***      
                fesisDEU.2007  1.0655e+02  1.3680e+01   7.7889 5.595e-14 ***      
                fesisDEU.2012 -1.3371e+02  1.3410e+01  -9.9709 < 2.2e-16 ***      
                fesisJPN.2008  9.7925e+01  2.9161e+01   3.3581 0.0008581 ***      
                fesisJPN.2012 -1.2521e+02  2.4729e+01  -5.0633 6.238e-07 ***      
                fesisKOR.2007  1.1817e+02  2.0152e+01   5.8637 9.322e-09 ***      
                fesisKOR.2012 -1.2034e+02  1.6453e+01  -7.3140 1.374e-12 ***      
                fesisKOR.2016 -4.7713e+01  1.6495e+01  -2.8926 0.0040248 **       
                fesisUSA.2006  1.8294e+02  2.0231e+01   9.0426 < 2.2e-16 ***      
                fesisUSA.2011 -1.6553e+02  1.9536e+01  -8.4729 4.342e-16 ***      
                fesisUSA.2015  8.2573e+01  2.4497e+01   3.3707 0.0008210 ***      
                fesisUSA.2016 -6.2189e+01  2.7676e+01  -2.2470 0.0251711 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    8.3505  1  0.003856 **       
                Ljung-Box ARCH(1) 40.2912  1 2.188e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    18.75346      
                R-squared            0.99535      
                Log-lik.(n=492)  -2099.35585      

Log Count

AR 0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 03:10:59 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 513       
                Sample: 1 to 513       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error   t-stat   p-value          
                lgdp            2.31489   0.16903  13.6952 < 2.2e-16 ***      
                lpop            0.72969   0.55518   1.3143 0.1894064          
                idAUT           3.23249   0.47960   6.7400 4.913e-11 ***      
                idBEL           2.33333   0.36207   6.4445 3.014e-10 ***      
                idCAN          -1.54933   0.29812  -5.1970 3.088e-07 ***      
                idCHE           2.92205   0.53543   5.4573 8.032e-08 ***      
                idCHN         -10.35684   2.20846  -4.6896 3.644e-06 ***      
                idDEU          -1.04840   0.76452  -1.3713 0.1709622          
                idDNK          -1.64418   0.74826  -2.1974 0.0285088 *        
                idESP          -0.73565   0.47143  -1.5605 0.1193538          
                idFIN           4.33846   0.72859   5.9546 5.288e-09 ***      
                idFRA          -2.18541   0.64674  -3.3791 0.0007910 ***      
                idGBR          -1.29749   0.62973  -2.0604 0.0399416 *        
                idISR           0.98453   0.55242   1.7822 0.0753935 .        
                idITA          -1.97335   0.61295  -3.2194 0.0013782 **       
                idJPN         -12.60387   1.17178 -10.7561 < 2.2e-16 ***      
                idKOR         -16.26140   1.06834 -15.2212 < 2.2e-16 ***      
                idNLD           0.70272   0.29319   2.3968 0.0169495 *        
                idNOR          -2.67330   0.84811  -3.1521 0.0017304 **       
                idRUS         -11.86231   1.10357 -10.7490 < 2.2e-16 ***      
                idSWE          -2.69920   0.52065  -5.1843 3.294e-07 ***      
                idUSA          -5.50698   1.42419  -3.8667 0.0001267 ***      
                time1995      -74.04951   8.86445  -8.3535 8.457e-16 ***      
                time1996      -73.92229   8.86824  -8.3356 9.641e-16 ***      
                time1997      -73.97762   8.86661  -8.3434 9.109e-16 ***      
                time1998      -73.83764   8.86941  -8.3250 1.042e-15 ***      
                time1999      -73.70798   8.87338  -8.3066 1.191e-15 ***      
                time2000      -73.74591   8.87788  -8.3067 1.191e-15 ***      
                time2001      -73.59674   8.88252  -8.2856 1.389e-15 ***      
                time2002      -73.56532   8.88630  -8.2785 1.462e-15 ***      
                time2003      -73.35002   8.88987  -8.2510 1.787e-15 ***      
                time2004      -73.41070   8.89361  -8.2543 1.744e-15 ***      
                time2005      -73.16056   8.89610  -8.2239 2.174e-15 ***      
                time2006      -72.99544   8.90138  -8.2005 2.576e-15 ***      
                time2007      -72.75416   8.90608  -8.1690 3.232e-15 ***      
                time2008      -72.48682   8.91027  -8.1352 4.123e-15 ***      
                time2009      -72.18004   8.91352  -8.0978 5.392e-15 ***      
                time2010      -72.19414   8.91769  -8.0956 5.478e-15 ***      
                time2011      -72.31776   8.92123  -8.1063 5.075e-15 ***      
                time2012      -72.47219   8.92567  -8.1195 4.615e-15 ***      
                time2013      -72.74391   8.92935  -8.1466 3.798e-15 ***      
                time2014      -72.87548   8.93328  -8.1578 3.506e-15 ***      
                time2015      -73.03363   8.93715  -8.1719 3.165e-15 ***      
                time2016      -73.08603   8.94081  -8.1744 3.108e-15 ***      
                time2017      -73.14258   8.94466  -8.1772 3.046e-15 ***      
                time2018      -73.28350   8.94817  -8.1898 2.783e-15 ***      
                time2019      -73.50073   8.95124  -8.2112 2.383e-15 ***      
                iis200         -1.38725   0.35369  -3.9222 0.0001016 ***      
                iis316         -1.90681   0.35851  -5.3187 1.657e-07 ***      
                iis319         -1.53900   0.35632  -4.3192 1.932e-05 ***      
                iis320         -1.01296   0.35621  -2.8438 0.0046635 **       
                fesisAUS.2005  -0.90369   0.14807  -6.1031 2.261e-09 ***      
                fesisAUT.2016  -0.57495   0.18395  -3.1256 0.0018901 **       
                fesisCHE.2001  -0.76780   0.16039  -4.7870 2.307e-06 ***      
                fesisCHN.2016   0.65879   0.22591   2.9161 0.0037229 **       
                fesisESP.2005   0.46025   0.14576   3.1576 0.0016988 **       
                fesisFIN.1997  -1.24251   0.25617  -4.8504 1.705e-06 ***      
                fesisFIN.2012   0.82852   0.14911   5.5566 4.739e-08 ***      
                fesisFRA.2002   0.54118   0.18097   2.9905 0.0029398 **       
                fesisFRA.2009   0.53429   0.16302   3.2774 0.0011295 **       
                fesisITA.2006   0.79787   0.15425   5.1727 3.492e-07 ***      
                fesisKOR.2004   0.71876   0.22562   3.1857 0.0015452 **       
                fesisKOR.2007   0.79412   0.21686   3.6619 0.0002804 ***      
                fesisNLD.1997   1.36187   0.29264   4.6538 4.304e-06 ***      
                fesisNLD.2001  -0.64328   0.18693  -3.4413 0.0006334 ***      
                fesisRUS.2005  -0.92725   0.16626  -5.5772 4.244e-08 ***      
                fesisSWE.2002  -0.52542   0.15193  -3.4583 0.0005957 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value         
                Ljung-Box AR(1)    2.0792  1 0.149314         
                Ljung-Box ARCH(1) 10.1359  1 0.001454 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.32705      
                R-squared           0.96495      
                Log-lik.(n=513)  -121.06340      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 03:11:00 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 513       
                Sample: 1 to 513       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error   t-stat   p-value          
                lgdp            2.37514   0.15058  15.7734 < 2.2e-16 ***      
                lpop            0.47529   0.50415   0.9427 0.3463446          
                idAUT           3.69207   0.45624   8.0925 6.170e-15 ***      
                idBEL           2.30936   0.32752   7.0509 7.216e-12 ***      
                idCAN          -1.29604   0.27118  -4.7793 2.426e-06 ***      
                idCHE           2.79427   0.48732   5.7340 1.861e-08 ***      
                idCHN          -9.43590   2.00923  -4.6963 3.579e-06 ***      
                idDEU          -0.67578   0.69459  -0.9729 0.3311409          
                idDNK          -1.94143   0.67722  -2.8668 0.0043526 **       
                idESP          -0.26811   0.42933  -0.6245 0.5326472          
                idFIN           4.26160   0.66302   6.4276 3.479e-10 ***      
                idFRA          -1.79665   0.58433  -3.0747 0.0022424 **       
                idGBR          -0.96785   0.57143  -1.6937 0.0910485 .        
                idISR           0.80202   0.50085   1.6013 0.1100489          
                idITA          -1.66716   0.55458  -3.0062 0.0028019 **       
                idJPN         -12.43411   1.05806 -11.7518 < 2.2e-16 ***      
                idKOR         -15.95388   0.96124 -16.5972 < 2.2e-16 ***      
                idNLD           0.83391   0.26282   3.1729 0.0016184 **       
                idNOR          -2.39253   0.79902  -2.9943 0.0029108 **       
                idRUS         -12.44423   0.97151 -12.8091 < 2.2e-16 ***      
                idSWE          -3.92518   0.54357  -7.2212 2.389e-12 ***      
                idUSA          -5.25393   1.28509  -4.0884 5.194e-05 ***      
                time1995      -71.55467   8.06415  -8.8732 < 2.2e-16 ***      
                time1996      -71.49619   8.06772  -8.8620 < 2.2e-16 ***      
                time1997      -71.45318   8.06629  -8.8582 < 2.2e-16 ***      
                time1998      -71.29575   8.06806  -8.8368 < 2.2e-16 ***      
                time1999      -71.14924   8.07254  -8.8137 < 2.2e-16 ***      
                time2000      -71.16474   8.07550  -8.8124 < 2.2e-16 ***      
                time2001      -71.03351   8.08037  -8.7909 < 2.2e-16 ***      
                time2002      -70.93492   8.08296  -8.7759 < 2.2e-16 ***      
                time2003      -70.84509   8.08582  -8.7616 < 2.2e-16 ***      
                time2004      -70.80099   8.09044  -8.7512 < 2.2e-16 ***      
                time2005      -70.65799   8.09324  -8.7305 < 2.2e-16 ***      
                time2006      -70.45382   8.09566  -8.7027 < 2.2e-16 ***      
                time2007      -70.22643   8.09967  -8.6703 < 2.2e-16 ***      
                time2008      -69.92274   8.10370  -8.6285 < 2.2e-16 ***      
                time2009      -69.64832   8.10642  -8.5917 < 2.2e-16 ***      
                time2010      -69.66272   8.11019  -8.5895 < 2.2e-16 ***      
                time2011      -69.78636   8.11339  -8.6014 < 2.2e-16 ***      
                time2012      -69.93220   8.11732  -8.6152 < 2.2e-16 ***      
                time2013      -70.20303   8.12066  -8.6450 < 2.2e-16 ***      
                time2014      -70.33406   8.12422  -8.6573 < 2.2e-16 ***      
                time2015      -70.49168   8.12773  -8.6730 < 2.2e-16 ***      
                time2016      -70.57003   8.13065  -8.6795 < 2.2e-16 ***      
                time2017      -70.58840   8.13435  -8.6778 < 2.2e-16 ***      
                time2018      -70.72748   8.13754  -8.6915 < 2.2e-16 ***      
                time2019      -71.01558   8.14047  -8.7238 < 2.2e-16 ***      
                iis48          -0.80121   0.30813  -2.6002 0.0096400 **       
                iis49          -0.83744   0.30813  -2.7178 0.0068399 **       
                iis78          -0.98054   0.31020  -3.1610 0.0016843 **       
                iis80          -1.09717   0.30953  -3.5446 0.0004368 ***      
                iis200         -1.09086   0.34812  -3.1336 0.0018462 **       
                iis223         -0.70837   0.31366  -2.2584 0.0244236 *        
                iis231         -0.74087   0.31207  -2.3740 0.0180371 *        
                iis242          0.65492   0.32126   2.0386 0.0421083 *        
                iis316         -1.85442   0.32270  -5.7466 1.737e-08 ***      
                iis319         -1.53631   0.32040  -4.7950 2.252e-06 ***      
                iis320         -1.02805   0.32033  -3.2094 0.0014308 **       
                iis368         -0.64154   0.32071  -2.0004 0.0460946 *        
                iis369         -0.64455   0.32103  -2.0077 0.0453013 *        
                iis371         -0.67341   0.32041  -2.1017 0.0361655 *        
                iis373         -1.03186   0.32026  -3.2220 0.0013708 **       
                iis423         -1.13602   0.30927  -3.6733 0.0002699 ***      
                iis441          1.02689   0.32094   3.1997 0.0014786 **       
                iis442          0.99959   0.32224   3.1020 0.0020502 **       
                iis443          1.11268   0.32026   3.4743 0.0005646 ***      
                iis444          0.90380   0.31833   2.8392 0.0047394 **       
                iis446          1.19811   0.31462   3.8082 0.0001606 ***      
                iis447          1.49522   0.31211   4.7907 2.299e-06 ***      
                fesisAUS.2006  -0.85146   0.13299  -6.4024 4.046e-10 ***      
                fesisAUT.1998  -0.64146   0.19039  -3.3693 0.0008223 ***      
                fesisCHE.2001  -0.77891   0.14559  -5.3502 1.438e-07 ***      
                fesisCHN.2016   0.63779   0.20163   3.1632 0.0016720 **       
                fesisESP.2001  -0.59291   0.21460  -2.7629 0.0059768 **       
                fesisESP.2005   0.87148   0.19204   4.5381 7.396e-06 ***      
                fesisFIN.1997  -1.24755   0.23292  -5.3561 1.394e-07 ***      
                fesisFIN.2012   0.66861   0.14264   4.6876 3.727e-06 ***      
                fesisFRA.2003   0.47210   0.16459   2.8683 0.0043319 **       
                fesisFRA.2009   0.55015   0.15317   3.5917 0.0003669 ***      
                fesisITA.2006   0.81375   0.13878   5.8634 9.102e-09 ***      
                fesisKOR.2007   1.07412   0.14145   7.5939 1.984e-13 ***      
                fesisNLD.1997   1.26741   0.26331   4.8134 2.064e-06 ***      
                fesisNLD.2001  -0.63294   0.16879  -3.7499 0.0002013 ***      
                fesisNOR.1998  -0.66566   0.19047  -3.4948 0.0005242 ***      
                fesisSWE.1996   1.21442   0.32802   3.7023 0.0002417 ***      
                fesisSWE.2002  -0.71552   0.14450  -4.9518 1.062e-06 ***      
                fesisUSA.2001   0.45348   0.14597   3.1066 0.0020191 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   3.4064  1 0.06494 .      
                Ljung-Box ARCH(1) 2.5033  1 0.11361        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.29313      
                R-squared          0.97311      
                Log-lik.(n=513)  -54.88787      

AR 1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 03:11:48 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 492       
                Sample: 1 to 492       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error  t-stat   p-value          
                ar1             0.4023538   0.0361848 11.1194 < 2.2e-16 ***      
                lgdp            1.5378375   0.1625090  9.4631 < 2.2e-16 ***      
                lpop           -0.1108783   0.5607767 -0.1977 0.8433561          
                idAUT           1.6316404   0.5050328  3.2308 0.0013301 **       
                idBEL           1.1724876   0.3778951  3.1027 0.0020451 **       
                idCAN          -0.0046769   0.3694130 -0.0127 0.9899046          
                idCHE           0.9563112   0.5355876  1.7855 0.0748839 .        
                idCHN          -4.2925363   2.2895989 -1.8748 0.0615028 .        
                idDEU           0.0025657   0.7827761  0.0033 0.9973864          
                idDNK          -1.7041452   0.7580358 -2.2481 0.0250788 *        
                idESP           0.1999504   0.4771761  0.4190 0.6754061          
                idFIN           1.4999273   0.7316356  2.0501 0.0409647 *        
                idFRA          -0.3401154   0.6524900 -0.5213 0.6024576          
                idGBR          -0.2345434   0.6399129 -0.3665 0.7141557          
                idISR           0.1178940   0.5631247  0.2094 0.8342696          
                idITA          -0.3302533   0.6110397 -0.5405 0.5891494          
                idJPN          -7.4831821   1.2162723 -6.1526 1.756e-09 ***      
                idKOR         -10.3339538   1.0937443 -9.4482 < 2.2e-16 ***      
                idNLD          -0.0387026   0.3769547 -0.1027 0.9182716          
                idNOR          -2.4844436   0.8520118 -2.9160 0.0037326 **       
                idRUS          -6.4933185   1.1942000 -5.4374 9.116e-08 ***      
                idSWE          -1.9162670   0.5227887 -3.6655 0.0002780 ***      
                idUSA          -2.2036192   1.4784075 -1.4905 0.1368217          
                time1996      -39.1644100   9.4159939 -4.1593 3.860e-05 ***      
                time1997      -39.3735228   9.4170005 -4.1811 3.521e-05 ***      
                time1998      -39.1408622   9.4140992 -4.1577 3.887e-05 ***      
                time1999      -39.0476783   9.4191174 -4.1456 4.090e-05 ***      
                time2000      -39.1095586   9.4205095 -4.1515 3.989e-05 ***      
                time2001      -39.0636451   9.4236302 -4.1453 4.095e-05 ***      
                time2002      -39.0236840   9.4279613 -4.1391 4.201e-05 ***      
                time2003      -38.8909633   9.4311431 -4.1237 4.482e-05 ***      
                time2004      -38.9329906   9.4340923 -4.1268 4.423e-05 ***      
                time2005      -38.7694537   9.4353972 -4.1089 4.766e-05 ***      
                time2006      -38.6360731   9.4379610 -4.0937 5.078e-05 ***      
                time2007      -38.4405481   9.4406428 -4.0718 5.560e-05 ***      
                time2008      -38.3056856   9.4421043 -4.0569 5.913e-05 ***      
                time2009      -38.1139112   9.4422357 -4.0365 6.429e-05 ***      
                time2010      -38.2052880   9.4447072 -4.0452 6.206e-05 ***      
                time2011      -38.3317654   9.4480550 -4.0571 5.908e-05 ***      
                time2012      -38.4281426   9.4533070 -4.0650 5.718e-05 ***      
                time2013      -38.6497632   9.4578985 -4.0865 5.232e-05 ***      
                time2014      -38.6654492   9.4640193 -4.0855 5.253e-05 ***      
                time2015      -38.7701211   9.4688434 -4.0945 5.061e-05 ***      
                time2016      -38.7525451   9.4740416 -4.0904 5.148e-05 ***      
                time2017      -38.7862999   9.4782064 -4.0922 5.111e-05 ***      
                time2018      -38.9083247   9.4819663 -4.1034 4.877e-05 ***      
                time2019      -39.0276780   9.4873914 -4.1136 4.674e-05 ***      
                iis27          -1.0460369   0.3434421 -3.0457 0.0024648 **       
                iis50           1.1158249   0.3447436  3.2367 0.0013035 **       
                iis74          -1.7112083   0.4132818 -4.1405 4.177e-05 ***      
                iis76          -1.2649350   0.3436587 -3.6808 0.0002623 ***      
                iis169         -1.1071784   0.3433740 -3.2244 0.0013593 **       
                iis191         -1.3506688   0.3429841 -3.9380 9.594e-05 ***      
                iis213         -0.9451159   0.3455292 -2.7353 0.0064926 **       
                iis305         -1.8187639   0.3435090 -5.2947 1.912e-07 ***      
                iis376          1.3465640   0.3474239  3.8759 0.0001230 ***      
                iis405         -1.2037381   0.3414570 -3.5253 0.0004688 ***      
                iis444         -0.9491565   0.3459051 -2.7440 0.0063257 **       
                fesisAUS.2005  -0.5599637   0.1538687 -3.6392 0.0003069 ***      
                fesisCAN.1999  -0.6530585   0.2515554 -2.5961 0.0097545 **       
                fesisFIN.2012   0.4344985   0.1484398  2.9271 0.0036042 **       
                fesisKOR.2003   0.8551104   0.1611624  5.3059 1.805e-07 ***      
                fesisNLD.1997   0.9071770   0.3439220  2.6377 0.0086508 **       
                fesisRUS.2004  -0.6972233   0.1781857 -3.9129 0.0001061 ***      
                fesisSWE.2001  -0.6068883   0.1700152 -3.5696 0.0003981 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    5.3401  1   0.02084 *        
                Ljung-Box ARCH(1) 15.7181  1 7.352e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.32528      
                R-squared           0.96399      
                Log-lik.(n=492)  -113.06954      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 03:11:46 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 492       
                Sample: 1 to 492       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                ar1             0.397900   0.033525  11.8687 < 2.2e-16 ***      
                lgdp            1.572721   0.143570  10.9544 < 2.2e-16 ***      
                lpop           -0.564095   0.498930  -1.1306 0.2588753          
                idAUT           1.923461   0.496705   3.8724 0.0001252 ***      
                idBEL           1.051660   0.342089   3.0742 0.0022505 **       
                idCAN          -0.140124   0.286662  -0.4888 0.6252353          
                idCHE           0.670328   0.480145   1.3961 0.1634362          
                idCHN          -2.386744   2.063123  -1.1569 0.2479983          
                idDEU           0.743686   0.704243   1.0560 0.2915819          
                idDNK          -2.107090   0.667710  -3.1557 0.0017184 **       
                idESP           0.451910   0.424950   1.0634 0.2882023          
                idFIN           2.072163   0.721674   2.8713 0.0042979 **       
                idFRA          -0.184313   0.597731  -0.3084 0.7579680          
                idGBR           0.388507   0.575594   0.6750 0.5000740          
                idISR          -0.203421   0.501007  -0.4060 0.6849348          
                idITA           0.274594   0.550473   0.4988 0.6181623          
                idJPN          -6.721121   1.111426  -6.0473 3.300e-09 ***      
                idKOR         -10.095659   0.989668 -10.2011 < 2.2e-16 ***      
                idNLD           0.925341   0.176948   5.2294 2.708e-07 ***      
                idNOR          -2.998584   0.748831  -4.0044 7.374e-05 ***      
                idRUS          -6.281997   1.070254  -5.8696 8.977e-09 ***      
                idSWE          -2.391022   0.464895  -5.1431 4.182e-07 ***      
                idUSA          -0.895179   1.334687  -0.6707 0.5027847          
                time1996      -32.641062   8.548790  -3.8182 0.0001550 ***      
                time1997      -32.816238   8.548658  -3.8388 0.0001430 ***      
                time1998      -32.437485   8.547682  -3.7949 0.0001698 ***      
                time1999      -32.475005   8.550234  -3.7981 0.0001677 ***      
                time2000      -32.509072   8.553453  -3.8007 0.0001660 ***      
                time2001      -32.460118   8.555744  -3.7940 0.0001704 ***      
                time2002      -32.556084   8.558254  -3.8041 0.0001639 ***      
                time2003      -32.444887   8.560577  -3.7900 0.0001731 ***      
                time2004      -32.422657   8.562643  -3.7865 0.0001754 ***      
                time2005      -32.219319   8.563461  -3.7624 0.0001926 ***      
                time2006      -32.127185   8.564950  -3.7510 0.0002013 ***      
                time2007      -31.928476   8.567227  -3.7268 0.0002209 ***      
                time2008      -31.788948   8.568215  -3.7101 0.0002355 ***      
                time2009      -31.591366   8.567867  -3.6872 0.0002570 ***      
                time2010      -31.679682   8.569957  -3.6966 0.0002480 ***      
                time2011      -31.804088   8.573001  -3.7098 0.0002358 ***      
                time2012      -31.849322   8.577900  -3.7130 0.0002330 ***      
                time2013      -32.117345   8.582024  -3.7424 0.0002081 ***      
                time2014      -32.131633   8.587838  -3.7415 0.0002088 ***      
                time2015      -32.234274   8.592332  -3.7515 0.0002009 ***      
                time2016      -32.159938   8.597791  -3.7405 0.0002096 ***      
                time2017      -32.246543   8.601043  -3.7491 0.0002027 ***      
                time2018      -32.366658   8.604506  -3.7616 0.0001932 ***      
                time2019      -32.517626   8.610126  -3.7767 0.0001823 ***      
                iis8            0.771574   0.317907   2.4270 0.0156491 *        
                iis27          -1.181243   0.309047  -3.8222 0.0001526 ***      
                iis50           1.074606   0.309753   3.4692 0.0005769 ***      
                iis74          -1.295566   0.324061  -3.9979 7.570e-05 ***      
                iis76          -1.511700   0.321957  -4.6954 3.628e-06 ***      
                iis169         -1.165736   0.308151  -3.7830 0.0001778 ***      
                iis177         -1.021067   0.307861  -3.3166 0.0009917 ***      
                iis205         -1.151866   0.308145  -3.7381 0.0002116 ***      
                iis213         -0.942001   0.310308  -3.0357 0.0025517 **       
                iis232          0.704833   0.319864   2.2035 0.0281078 *        
                iis305         -2.005053   0.308394  -6.5016 2.297e-10 ***      
                iis375         -0.915985   0.310936  -2.9459 0.0034025 **       
                iis376          1.302868   0.312386   4.1707 3.703e-05 ***      
                iis401         -1.154156   0.308870  -3.7367 0.0002127 ***      
                iis405         -1.201320   0.306480  -3.9197 0.0001038 ***      
                iis424          0.765131   0.314557   2.4324 0.0154225 *        
                iis427          1.400119   0.309703   4.5208 8.057e-06 ***      
                iis428          1.154574   0.310636   3.7168 0.0002296 ***      
                iis444         -0.961863   0.309223  -3.1106 0.0019967 **       
                iis445          0.693236   0.340342   2.0369 0.0422994 *        
                iis469         -0.881629   0.311292  -2.8322 0.0048498 **       
                fesisAUS.2005  -0.384407   0.144890  -2.6531 0.0082834 **       
                fesisAUT.1998  -0.564326   0.226161  -2.4952 0.0129766 *        
                fesisCAN.2005  -1.029908   0.321270  -3.2057 0.0014518 **       
                fesisCAN.2006   0.922081   0.309733   2.9770 0.0030820 **       
                fesisESP.2001  -0.833462   0.252118  -3.3058 0.0010297 **       
                fesisESP.2003   1.249216   0.227472   5.4917 6.967e-08 ***      
                fesisFIN.1997  -1.067802   0.316082  -3.3782 0.0007988 ***      
                fesisFIN.2012   0.429601   0.140841   3.0503 0.0024338 **       
                fesisFRA.2001   0.601279   0.155423   3.8687 0.0001271 ***      
                fesisKOR.2003   0.928861   0.145529   6.3827 4.682e-10 ***      
                fesisSWE.2001  -0.381963   0.167669  -2.2781 0.0232319 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   1.2058  1 0.27218        
                Ljung-Box ARCH(1) 2.8527  1 0.09122 .      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.29137      
                R-squared          0.97205      
                Log-lik.(n=492)  -51.90194      

without IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 03:12:43 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 513       
                Sample: 1 to 513       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.3207e-13  4.8750e-14   4.7605 2.606e-06 ***      
                pop            7.5484e-06  3.9962e-07  18.8890 < 2.2e-16 ***      
                idAUT          8.2892e+01  1.3499e+01   6.1408 1.802e-09 ***      
                idBEL          6.0244e+01  1.3161e+01   4.5774 6.096e-06 ***      
                idCAN         -9.0579e+01  1.3346e+01  -6.7870 3.615e-11 ***      
                idCHE          1.0338e+02  1.3598e+01   7.6031 1.694e-13 ***      
                idCHN         -9.2277e+03  4.8903e+02 -18.8694 < 2.2e-16 ***      
                idDEU         -3.5874e+02  2.9331e+01 -12.2309 < 2.2e-16 ***      
                idDNK          8.6083e+01  1.4963e+01   5.7531 1.619e-08 ***      
                idESP         -1.7184e+02  1.5448e+01 -11.1233 < 2.2e-16 ***      
                idFIN          9.1346e+01  1.4001e+01   6.5243 1.839e-10 ***      
                idFRA         -2.7058e+02  2.1060e+01 -12.8484 < 2.2e-16 ***      
                idGBR         -2.8654e+02  2.0445e+01 -14.0151 < 2.2e-16 ***      
                idISR          1.0204e+02  1.3942e+01   7.3190 1.155e-12 ***      
                idITA         -2.6793e+02  1.9450e+01 -13.7750 < 2.2e-16 ***      
                idJPN         -6.2127e+02  5.0209e+01 -12.3737 < 2.2e-16 ***      
                idKOR         -3.7833e+02  5.0903e+01  -7.4324 5.402e-13 ***      
                idNLD          3.3966e+01  1.2622e+01   2.6910  0.007389 **       
                idNOR          9.3580e+01  1.4099e+01   6.6372 9.198e-11 ***      
                idRUS         -9.7713e+02  5.0719e+01 -19.2657 < 2.2e-16 ***      
                idSWE          6.5658e+01  1.3356e+01   4.9159 1.239e-06 ***      
                idUSA         -1.8478e+03  1.0569e+02 -17.4833 < 2.2e-16 ***      
                time1995      -1.4613e+02  1.5635e+01  -9.3462 < 2.2e-16 ***      
                time1996      -1.4781e+02  1.5679e+01  -9.4273 < 2.2e-16 ***      
                time1997      -1.4450e+02  1.5197e+01  -9.5081 < 2.2e-16 ***      
                time1998      -1.4627e+02  1.5375e+01  -9.5136 < 2.2e-16 ***      
                time1999      -1.4635e+02  1.5523e+01  -9.4277 < 2.2e-16 ***      
                time2000      -1.3626e+02  1.5361e+01  -8.8704 < 2.2e-16 ***      
                time2001      -1.3867e+02  1.5365e+01  -9.0250 < 2.2e-16 ***      
                time2002      -1.4494e+02  1.5499e+01  -9.3518 < 2.2e-16 ***      
                time2003      -1.3469e+02  1.5336e+01  -8.7823 < 2.2e-16 ***      
                time2004      -1.3173e+02  1.5466e+01  -8.5177 2.452e-16 ***      
                time2005      -1.2178e+02  1.5598e+01  -7.8075 4.117e-14 ***      
                time2006      -1.2328e+02  1.5607e+01  -7.8995 2.159e-14 ***      
                time2007      -1.0999e+02  1.5109e+01  -7.2799 1.497e-12 ***      
                time2008      -1.0482e+02  1.5176e+01  -6.9068 1.694e-11 ***      
                time2009      -6.9203e+01  1.5323e+01  -4.5162 8.049e-06 ***      
                time2010      -7.2828e+01  1.5439e+01  -4.7171 3.196e-06 ***      
                time2011      -8.1461e+01  1.5542e+01  -5.2415 2.451e-07 ***      
                time2012      -9.0501e+01  1.5625e+01  -5.7919 1.307e-08 ***      
                time2013      -1.0951e+02  1.5805e+01  -6.9287 1.473e-11 ***      
                time2014      -1.3117e+02  1.5956e+01  -8.2211 2.165e-15 ***      
                time2015      -1.4011e+02  1.6102e+01  -8.7014 < 2.2e-16 ***      
                time2016      -1.1986e+02  1.6180e+01  -7.4082 6.358e-13 ***      
                time2017      -1.2347e+02  1.6354e+01  -7.5493 2.445e-13 ***      
                time2018      -1.2636e+02  1.6480e+01  -7.6673 1.089e-13 ***      
                time2019      -1.6538e+02  1.6579e+01  -9.9749 < 2.2e-16 ***      
                fesisCHN.2000 -2.2777e+02  3.8745e+01  -5.8786 8.056e-09 ***      
                fesisCHN.2003 -1.9121e+02  3.6237e+01  -5.2767 2.048e-07 ***      
                fesisCHN.2007 -1.5817e+02  3.5876e+01  -4.4088 1.301e-05 ***      
                fesisDEU.2007  4.7121e+02  2.2694e+01  20.7638 < 2.2e-16 ***      
                fesisDEU.2013 -3.3077e+02  2.5232e+01 -13.1090 < 2.2e-16 ***      
                fesisJPN.2008  5.8918e+02  3.4407e+01  17.1240 < 2.2e-16 ***      
                fesisJPN.2010  5.9409e+02  4.5207e+01  13.1416 < 2.2e-16 ***      
                fesisJPN.2012 -4.0482e+02  4.5235e+01  -8.9493 < 2.2e-16 ***      
                fesisJPN.2014 -2.8393e+02  4.1276e+01  -6.8788 2.024e-11 ***      
                fesisJPN.2017 -3.2314e+02  3.6928e+01  -8.7506 < 2.2e-16 ***      
                fesisKOR.2009  4.1112e+02  3.5415e+01  11.6085 < 2.2e-16 ***      
                fesisUSA.2006  3.9701e+02  3.5530e+01  11.1739 < 2.2e-16 ***      
                fesisUSA.2008  4.9353e+02  3.9326e+01  12.5495 < 2.2e-16 ***      
                fesisUSA.2012 -3.8609e+02  3.2130e+01 -12.0164 < 2.2e-16 ***      
                fesisUSA.2016 -4.0702e+02  3.2090e+01 -12.6837 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    7.5573  1  0.005977 **       
                Ljung-Box ARCH(1) 63.6982  1 1.443e-15 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    44.10653      
                R-squared            0.97195      
                Log-lik.(n=513)  -2639.44533      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 03:12:43 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 513       
                Sample: 1 to 513       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.3302e-13  4.7740e-14   4.8809 1.469e-06 ***      
                pop            6.3685e-06  4.7096e-07  13.5225 < 2.2e-16 ***      
                idAUT          6.7663e+01  1.3645e+01   4.9589 1.006e-06 ***      
                idBEL          4.7856e+01  1.3179e+01   3.6312 0.0003145 ***      
                idCAN         -7.6578e+01  1.3434e+01  -5.7002 2.168e-08 ***      
                idCHE          8.7406e+01  1.3781e+01   6.3426 5.508e-10 ***      
                idCHN         -7.7859e+03  5.7607e+02 -13.5157 < 2.2e-16 ***      
                idDEU         -2.8551e+02  3.3008e+01  -8.6497 < 2.2e-16 ***      
                idDNK          6.6881e+01  1.5261e+01   4.3825 1.461e-05 ***      
                idESP         -1.4494e+02  1.6265e+01  -8.9110 < 2.2e-16 ***      
                idFIN          7.2572e+01  1.4331e+01   5.0641 5.996e-07 ***      
                idFRA         -2.2048e+02  2.3433e+01  -9.4091 < 2.2e-16 ***      
                idGBR         -2.3871e+02  2.2664e+01 -10.5327 < 2.2e-16 ***      
                idISR          8.5440e+01  1.4142e+01   6.0416 3.202e-09 ***      
                idITA         -2.2387e+02  2.1414e+01 -10.4544 < 2.2e-16 ***      
                idJPN         -4.9569e+02  5.6526e+01  -8.7693 < 2.2e-16 ***      
                idKOR         -3.4731e+02  5.0322e+01  -6.9018 1.753e-11 ***      
                idNLD          2.8287e+01  1.2425e+01   2.2766 0.0232807 *        
                idNOR          7.4191e+01  1.4463e+01   5.1297 4.321e-07 ***      
                idRUS         -8.3206e+02  5.9200e+01 -14.0551 < 2.2e-16 ***      
                idSWE          5.1590e+01  1.3447e+01   3.8365 0.0001427 ***      
                idUSA         -1.5393e+03  1.2411e+02 -12.4022 < 2.2e-16 ***      
                time1995      -1.2443e+02  1.6052e+01  -7.7515 6.106e-14 ***      
                time1996      -1.2574e+02  1.6118e+01  -7.8016 4.308e-14 ***      
                time1997      -1.2230e+02  1.5678e+01  -7.8010 4.325e-14 ***      
                time1998      -1.2308e+02  1.5913e+01  -7.7345 6.870e-14 ***      
                time1999      -1.2224e+02  1.6117e+01  -7.5843 1.933e-13 ***      
                time2000      -1.1300e+02  1.5905e+01  -7.1047 4.749e-12 ***      
                time2001      -1.1450e+02  1.5975e+01  -7.1678 3.144e-12 ***      
                time2002      -1.2002e+02  1.6156e+01  -7.4288 5.551e-13 ***      
                time2003      -1.1058e+02  1.5945e+01  -6.9349 1.419e-11 ***      
                time2004      -1.0690e+02  1.6118e+01  -6.6324 9.494e-11 ***      
                time2005      -9.6240e+01  1.6295e+01  -5.9063 6.907e-09 ***      
                time2006      -9.8007e+01  1.6281e+01  -6.0196 3.632e-09 ***      
                time2007      -8.6017e+01  1.5724e+01  -5.4703 7.468e-08 ***      
                time2008      -8.0552e+01  1.5808e+01  -5.0956 5.126e-07 ***      
                time2009      -4.4276e+01  1.5994e+01  -2.7682 0.0058686 **       
                time2010      -4.7176e+01  1.6157e+01  -2.9199 0.0036775 **       
                time2011      -5.5210e+01  1.6298e+01  -3.3876 0.0007671 ***      
                time2012      -6.3765e+01  1.6413e+01  -3.8850 0.0001177 ***      
                time2013      -8.1919e+01  1.6647e+01  -4.9211 1.210e-06 ***      
                time2014      -1.0267e+02  1.6858e+01  -6.0901 2.422e-09 ***      
                time2015      -1.1085e+02  1.7054e+01  -6.5000 2.136e-10 ***      
                time2016      -9.0443e+01  1.7139e+01  -5.2769 2.046e-07 ***      
                time2017      -9.3496e+01  1.7343e+01  -5.3908 1.134e-07 ***      
                time2018      -1.0458e+02  1.6848e+01  -6.2075 1.224e-09 ***      
                time2019      -1.4313e+02  1.6971e+01  -8.4340 4.582e-16 ***      
                fesisCHN.2000 -1.9326e+02  3.8708e+01  -4.9928 8.525e-07 ***      
                fesisCHN.2003 -1.5880e+02  3.6208e+01  -4.3857 1.441e-05 ***      
                fesisCHN.2007 -1.1321e+02  3.6525e+01  -3.0994 0.0020605 **       
                fesisCHN.2018  1.8473e+02  4.1022e+01   4.5033 8.537e-06 ***      
                fesisDEU.2007  4.6878e+02  2.2230e+01  21.0877 < 2.2e-16 ***      
                fesisDEU.2013 -3.3175e+02  2.4711e+01 -13.4252 < 2.2e-16 ***      
                fesisJPN.2008  5.8963e+02  3.3694e+01  17.4993 < 2.2e-16 ***      
                fesisJPN.2010  5.9260e+02  4.4271e+01  13.3856 < 2.2e-16 ***      
                fesisJPN.2012 -4.0653e+02  4.4299e+01  -9.1769 < 2.2e-16 ***      
                fesisJPN.2014 -2.8628e+02  4.0425e+01  -7.0818 5.509e-12 ***      
                fesisJPN.2017 -3.1919e+02  3.6174e+01  -8.8236 < 2.2e-16 ***      
                fesisKOR.2009  4.1176e+02  3.4682e+01  11.8724 < 2.2e-16 ***      
                fesisUSA.2006  4.1764e+02  3.5094e+01  11.9004 < 2.2e-16 ***      
                fesisUSA.2008  5.0248e+02  3.8563e+01  13.0301 < 2.2e-16 ***      
                fesisUSA.2012 -3.7784e+02  3.1518e+01 -11.9880 < 2.2e-16 ***      
                fesisUSA.2016 -3.9473e+02  3.1543e+01 -12.5140 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value          
                Ljung-Box AR(1)    4.9244  1  0.02648 *        
                Ljung-Box ARCH(1) 67.8070  1 2.22e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    43.19299      
                R-squared            0.97316      
                Log-lik.(n=513)  -2628.20839      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 03:12:40 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 492       
                Sample: 1 to 492       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            7.8247e-01  1.7216e-02  45.4498 < 2.2e-16 ***      
                gdp           -7.4138e-14  4.2377e-14  -1.7495  0.080917 .        
                pop            7.2445e-07  1.7708e-07   4.0912 5.123e-05 ***      
                idAUT          5.7187e+00  8.0720e+00   0.7085  0.479044          
                idBEL          2.5891e+00  7.9624e+00   0.3252  0.745213          
                idCAN         -9.0264e+00  8.0270e+00  -1.1245  0.261425          
                idCHE          9.8486e+00  8.1147e+00   1.2137  0.225537          
                idCHN         -9.0444e+02  2.2801e+02  -3.9667 8.534e-05 ***      
                idDEU         -5.4525e+00  1.4824e+01  -0.3678  0.713188          
                idDNK          2.4301e+00  8.9073e+00   0.2728  0.785123          
                idESP         -1.6474e+01  8.7383e+00  -1.8853  0.060065 .        
                idFIN          4.5763e+00  8.2328e+00   0.5559  0.578591          
                idFRA         -1.7507e+01  1.0725e+01  -1.6324  0.103325          
                idGBR         -2.4985e+01  1.0525e+01  -2.3738  0.018046 *        
                idISR          9.6193e+00  8.3123e+00   1.1572  0.247816          
                idITA         -2.3587e+01  1.0151e+01  -2.3237  0.020608 *        
                idJPN          4.1801e+01  2.8545e+01   1.4643  0.143828          
                idKOR          6.0245e+01  4.1728e+01   1.4438  0.149528          
                idNLD          3.5132e+00  7.7933e+00   0.4508  0.652364          
                idNOR          4.6370e+00  8.2660e+00   0.5610  0.575110          
                idRUS         -9.2227e+01  2.3323e+01  -3.9543 8.971e-05 ***      
                idSWE          3.2289e+00  8.0267e+00   0.4023  0.687685          
                idUSA         -1.3884e+02  4.7597e+01  -2.9171  0.003718 **       
                time1996      -1.8519e+01  9.0732e+00  -2.0410  0.041855 *        
                time1997      -1.8150e+01  9.0832e+00  -1.9982  0.046327 *        
                time1998      -1.3779e+01  8.5768e+00  -1.6065  0.108886          
                time1999      -1.0322e+01  8.6079e+00  -1.1991  0.231137          
                time2000      -1.0455e+01  8.6391e+00  -1.2102  0.226862          
                time2001      -1.2176e+01  8.6774e+00  -1.4031  0.161298          
                time2002      -1.4704e+01  8.6312e+00  -1.7035  0.089186 .        
                time2003      -8.2370e+00  8.6744e+00  -0.9496  0.342858          
                time2004      -5.0118e+00  8.7144e+00  -0.5751  0.565517          
                time2005       3.4637e+00  8.7564e+00   0.3956  0.692627          
                time2006       2.2285e+00  8.7974e+00   0.2533  0.800149          
                time2007       1.8310e+00  8.8911e+00   0.2059  0.836934          
                time2008       2.0288e+01  9.0110e+00   2.2515  0.024859 *        
                time2009       1.8011e+01  8.9987e+00   2.0015  0.045962 *        
                time2010       1.7925e+00  9.1027e+00   0.1969  0.843985          
                time2011       5.6167e+00  9.1373e+00   0.6147  0.539081          
                time2012      -1.3412e+01  9.1987e+00  -1.4581  0.145544          
                time2013      -1.0419e+01  9.1336e+00  -1.1407  0.254631          
                time2014      -1.7545e+01  9.1429e+00  -1.9190  0.055642 .        
                time2015      -6.6110e+00  8.8954e+00  -0.7432  0.457773          
                time2016      -7.5783e+00  9.0274e+00  -0.8395  0.401664          
                time2017      -1.3355e+01  9.0160e+00  -1.4812  0.139276          
                time2018      -1.2672e+00  9.0678e+00  -0.1397  0.888929          
                time2019      -2.3027e+01  9.1404e+00  -2.5192  0.012122 *        
                fesisCHN.2015  1.7529e+02  2.1123e+01   8.2985 1.368e-15 ***      
                fesisCHN.2019 -3.1890e+02  3.1707e+01 -10.0580 < 2.2e-16 ***      
                fesisDEU.2007  1.5588e+02  1.6451e+01   9.4758 < 2.2e-16 ***      
                fesisDEU.2012 -1.8958e+02  1.5976e+01 -11.8670 < 2.2e-16 ***      
                fesisJPN.2008  2.6025e+02  2.8830e+01   9.0269 < 2.2e-16 ***      
                fesisJPN.2009  2.6653e+02  3.4488e+01   7.7283 7.740e-14 ***      
                fesisJPN.2011 -3.3779e+02  3.5188e+01  -9.5994 < 2.2e-16 ***      
                fesisJPN.2012 -2.1181e+02  3.1082e+01  -6.8147 3.195e-11 ***      
                fesisKOR.2007  1.8480e+02  2.4872e+01   7.4301 5.880e-13 ***      
                fesisKOR.2016  2.0499e+02  3.0663e+01   6.6851 7.163e-11 ***      
                fesisKOR.2017 -2.7009e+02  3.2076e+01  -8.4203 5.623e-16 ***      
                fesisUSA.2006  2.5203e+02  2.2124e+01  11.3917 < 2.2e-16 ***      
                fesisUSA.2008  8.9575e+01  2.7053e+01   3.3111  0.001007 **       
                fesisUSA.2011 -3.2831e+02  1.8863e+01 -17.4044 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    3.3578  1   0.06689 .        
                Ljung-Box ARCH(1) 30.1041  1 4.095e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    26.83179      
                R-squared            0.98999      
                Log-lik.(n=492)  -2286.09469      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 03:12:39 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 492       
                Sample: 1 to 492       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.2966e-01  1.9718e-02  42.0761 < 2.2e-16 ***      
                gdp            5.0746e-14  4.2323e-14   1.1990 0.2311904          
                pop            6.1457e-07  1.6223e-07   3.7883 0.0001735 ***      
                idAUT          5.1414e+00  7.1339e+00   0.7207 0.4714875          
                idBEL          2.4619e+00  7.0307e+00   0.3502 0.7263860          
                idCAN         -7.7259e+00  7.1029e+00  -1.0877 0.2773391          
                idCHE          8.4160e+00  7.1865e+00   1.1711 0.2422205          
                idCHN         -7.6982e+02  2.0865e+02  -3.6896 0.0002537 ***      
                idDEU         -3.5898e+00  1.3178e+01  -0.2724 0.7854341          
                idDNK          2.6822e+00  7.8666e+00   0.3410 0.7333012          
                idESP         -1.3910e+01  7.7752e+00  -1.7890 0.0743199 .        
                idFIN          4.3705e+00  7.2739e+00   0.6008 0.5482628          
                idFRA         -1.5256e+01  9.5481e+00  -1.5978 0.1108252          
                idGBR         -2.1503e+01  9.4130e+00  -2.2844 0.0228391 *        
                idISR          8.5203e+00  7.3561e+00   1.1583 0.2474054          
                idITA         -2.0203e+01  9.0741e+00  -2.2264 0.0265079 *        
                idJPN         -2.1249e+01  2.6903e+01  -0.7898 0.4300616          
                idKOR         -5.6594e+01  4.1337e+01  -1.3691 0.1716944          
                idNLD          3.2350e+00  6.8795e+00   0.4702 0.6384291          
                idNOR          4.0893e+00  7.3043e+00   0.5598 0.5758763          
                idRUS         -8.5893e+01  2.1359e+01  -4.0214 6.843e-05 ***      
                idSWE          2.7795e+00  7.0881e+00   0.3921 0.6951523          
                idUSA         -1.1709e+02  4.3207e+01  -2.7100 0.0070003 **       
                time1996      -1.4507e+01  8.0643e+00  -1.7989 0.0727442 .        
                time1997      -1.4556e+01  8.0697e+00  -1.8038 0.0719704 .        
                time1998      -1.0172e+01  7.6148e+00  -1.3358 0.1823314          
                time1999      -7.3730e+00  7.6369e+00  -0.9654 0.3348709          
                time2000      -8.3424e+00  7.6568e+00  -1.0895 0.2765336          
                time2001      -1.0554e+01  7.6865e+00  -1.3730 0.1704744          
                time2002      -1.3679e+01  7.6440e+00  -1.7895 0.0742452 .        
                time2003      -7.3944e+00  7.6846e+00  -0.9622 0.3364787          
                time2004      -4.8365e+00  7.7160e+00  -0.6268 0.5311201          
                time2005       2.9259e+00  7.7484e+00   0.3776 0.7059038          
                time2006       1.1542e+00  7.7867e+00   0.1482 0.8822368          
                time2007       1.1545e+00  7.8802e+00   0.1465 0.8835940          
                time2008       1.9575e+01  7.9903e+00   2.4498 0.0146933 *        
                time2009       1.5388e+01  7.9536e+00   1.9347 0.0536917 .        
                time2010      -4.2849e+00  8.0684e+00  -0.5311 0.5956451          
                time2011      -1.5850e+00  8.1104e+00  -0.1954 0.8451510          
                time2012      -7.5961e+00  8.1708e+00  -0.9297 0.3530711          
                time2013      -7.7202e+00  8.1236e+00  -0.9503 0.3424744          
                time2014      -1.8495e+01  8.1187e+00  -2.2780 0.0232182 *        
                time2015      -1.1844e+01  7.9505e+00  -1.4897 0.1370405          
                time2016      -6.3181e+00  7.9722e+00  -0.7925 0.4285009          
                time2017      -1.1813e+01  7.9629e+00  -1.4835 0.1386730          
                time2018       5.8870e-01  8.0097e+00   0.0735 0.9414440          
                time2019      -2.0408e+01  8.0821e+00  -2.5251 0.0119297 *        
                fesisCHN.2015  1.6139e+02  1.8726e+01   8.6182 < 2.2e-16 ***      
                fesisCHN.2019 -3.4147e+02  2.8423e+01 -12.0140 < 2.2e-16 ***      
                fesisDEU.2007  1.3983e+02  1.5389e+01   9.0864 < 2.2e-16 ***      
                fesisDEU.2012 -2.6073e+02  2.0433e+01 -12.7606 < 2.2e-16 ***      
                fesisDEU.2014  9.9565e+01  2.0941e+01   4.7546 2.725e-06 ***      
                fesisJPN.2008  2.5066e+02  2.5539e+01   9.8149 < 2.2e-16 ***      
                fesisJPN.2009  2.4953e+02  3.0886e+01   8.0791 6.783e-15 ***      
                fesisJPN.2011 -3.6609e+02  3.2033e+01 -11.4286 < 2.2e-16 ***      
                fesisJPN.2012 -2.7925e+02  3.4354e+01  -8.1287 4.766e-15 ***      
                fesisJPN.2013  9.9660e+01  2.9098e+01   3.4249 0.0006746 ***      
                fesisKOR.2007  1.6006e+02  2.2325e+01   7.1695 3.349e-12 ***      
                fesisKOR.2012 -1.3547e+02  1.9317e+01  -7.0128 9.223e-12 ***      
                fesisKOR.2016  2.4569e+02  2.7749e+01   8.8542 < 2.2e-16 ***      
                fesisKOR.2017 -2.8967e+02  2.8448e+01 -10.1824 < 2.2e-16 ***      
                fesisUSA.2006  2.3986e+02  1.9851e+01  12.0828 < 2.2e-16 ***      
                fesisUSA.2008  6.2846e+01  2.4926e+01   2.5213 0.0120566 *        
                fesisUSA.2011 -3.1283e+02  1.8611e+01 -16.8082 < 2.2e-16 ***      
                fesisUSA.2015  1.2731e+02  2.7957e+01   4.5537 6.888e-06 ***      
                fesisUSA.2016 -1.7947e+02  2.7285e+01  -6.5776 1.404e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   14.665  1 0.0001284 ***      
                Ljung-Box ARCH(1) 29.308  1 6.174e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    23.6782      
                R-squared            0.9923      
                Log-lik.(n=492)  -2222.0783      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 03:12:43 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 513       
                Sample: 1 to 513       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error   t-stat   p-value          
                lgdp            2.32736   0.17189  13.5399 < 2.2e-16 ***      
                lpop            0.81160   0.56471   1.4372 0.1513594          
                idAUT           3.32171   0.48832   6.8023 3.308e-11 ***      
                idBEL           2.39980   0.36868   6.5092 2.028e-10 ***      
                idCAN          -1.59407   0.30326  -5.2565 2.277e-07 ***      
                idCHE           3.01861   0.54492   5.5396 5.178e-08 ***      
                idCHN         -10.74105   2.24749  -4.7791 2.391e-06 ***      
                idDEU          -1.17371   0.77786  -1.5089 0.1320315          
                idDNK          -1.54480   0.76101  -2.0299 0.0429538 *        
                idESP          -0.60231   0.48440  -1.2434 0.2143618          
                idFIN           4.47945   0.74166   6.0397 3.246e-09 ***      
                idFRA          -2.28439   0.65796  -3.4719 0.0005669 ***      
                idGBR          -1.39341   0.64059  -2.1752 0.0301368 *        
                idISR           1.07058   0.56205   1.9048 0.0574477 .        
                idITA          -3.07203   0.63716  -4.8215 1.955e-06 ***      
                idJPN         -12.83023   1.19347 -10.7504 < 2.2e-16 ***      
                idKOR         -16.41475   1.08745 -15.0947 < 2.2e-16 ***      
                idNLD           0.73766   0.29807   2.4748 0.0137000 *        
                idNOR          -2.56581   0.86244  -2.9751 0.0030876 **       
                idRUS         -12.07858   1.12375 -10.7484 < 2.2e-16 ***      
                idSWE          -2.64720   0.52931  -5.0013 8.191e-07 ***      
                idUSA          -5.75999   1.44949  -3.9738 8.242e-05 ***      
                time1995      -75.83151   9.02653  -8.4010 5.908e-16 ***      
                time1996      -75.59285   9.02967  -8.3716 7.331e-16 ***      
                time1997      -75.65359   9.02808  -8.3798 6.903e-16 ***      
                time1998      -75.59131   9.03139  -8.3698 7.426e-16 ***      
                time1999      -75.43630   9.03526  -8.3491 8.646e-16 ***      
                time2000      -75.47961   9.04024  -8.3493 8.634e-16 ***      
                time2001      -75.29035   9.04459  -8.3244 1.036e-15 ***      
                time2002      -75.32541   9.04850  -8.3246 1.034e-15 ***      
                time2003      -75.04481   9.05208  -8.2903 1.328e-15 ***      
                time2004      -75.10578   9.05591  -8.2936 1.297e-15 ***      
                time2005      -74.88640   9.05867  -8.2668 1.576e-15 ***      
                time2006      -74.71801   9.06389  -8.2435 1.868e-15 ***      
                time2007      -74.47813   9.06868  -8.2127 2.335e-15 ***      
                time2008      -74.21161   9.07294  -8.1794 2.970e-15 ***      
                time2009      -73.90524   9.07624  -8.1427 3.870e-15 ***      
                time2010      -73.92030   9.08049  -8.1406 3.930e-15 ***      
                time2011      -74.04471   9.08410  -8.1510 3.645e-15 ***      
                time2012      -74.20003   9.08863  -8.1641 3.318e-15 ***      
                time2013      -74.47248   9.09237  -8.1907 2.738e-15 ***      
                time2014      -74.60488   9.09638  -8.2016 2.530e-15 ***      
                time2015      -74.76383   9.10032  -8.2155 2.288e-15 ***      
                time2016      -74.81674   9.10404  -8.2180 2.247e-15 ***      
                time2017      -74.87415   9.10796  -8.2207 2.203e-15 ***      
                time2018      -75.01583   9.11154  -8.2331 2.015e-15 ***      
                time2019      -75.23373   9.11467  -8.2541 1.729e-15 ***      
                fesisAUS.2005  -0.91413   0.15053  -6.0726 2.688e-09 ***      
                fesisAUT.2016  -0.57396   0.18696  -3.0699 0.0022714 **       
                fesisCHE.2001  -0.77864   0.16331  -4.7679 2.522e-06 ***      
                fesisCHN.2016   0.65073   0.22965   2.8336 0.0048110 **       
                fesisESP.2001  -0.82772   0.22145  -3.7377 0.0002097 ***      
                fesisESP.2005   1.09158   0.19408   5.6245 3.280e-08 ***      
                fesisFIN.1997  -1.25397   0.26038  -4.8159 2.008e-06 ***      
                fesisFIN.2012   0.83306   0.15155   5.4968 6.503e-08 ***      
                fesisFRA.2002   0.53687   0.18415   2.9153 0.0037312 **       
                fesisFRA.2009   0.53763   0.16572   3.2442 0.0012659 **       
                fesisITA.2000   1.09863   0.20829   5.2745 2.076e-07 ***      
                fesisITA.2006   0.70833   0.17055   4.1531 3.929e-05 ***      
                fesisKOR.2004   0.70509   0.22941   3.0734 0.0022453 **       
                fesisKOR.2007   0.80095   0.22044   3.6334 0.0003121 ***      
                fesisNLD.1997   1.35550   0.29717   4.5614 6.569e-06 ***      
                fesisNLD.2001  -0.64875   0.19014  -3.4120 0.0007033 ***      
                fesisRUS.2005  -0.92081   0.16898  -5.4492 8.368e-08 ***      
                fesisSWE.2002  -0.52843   0.15458  -3.4185 0.0006871 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value         
                Ljung-Box AR(1)    1.0356  1 0.308854         
                Ljung-Box ARCH(1) 10.2110  1 0.001396 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.33241      
                R-squared           0.96363      
                Log-lik.(n=513)  -130.40131      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 03:12:42 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 513       
                Sample: 1 to 513       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error   t-stat   p-value          
                lgdp            2.28687   0.16359  13.9794 < 2.2e-16 ***      
                lpop            0.77230   0.54488   1.4174 0.1570790          
                idAUT           3.79593   0.49078   7.7345 7.089e-14 ***      
                idBEL           2.36636   0.35278   6.7077 6.064e-11 ***      
                idCAN          -1.52142   0.28972  -5.2513 2.351e-07 ***      
                idCHE           3.00829   0.52543   5.7253 1.909e-08 ***      
                idCHN         -10.40862   2.16644  -4.8045 2.129e-06 ***      
                idDEU          -1.04574   0.74903  -1.3961 0.1633748          
                idDNK          -1.54512   0.73294  -2.1081 0.0355846 *        
                idESP          -0.52448   0.46389  -1.1306 0.2588354          
                idFIN           4.41871   0.71370   6.1912 1.365e-09 ***      
                idFRA          -2.09255   0.63090  -3.3168 0.0009858 ***      
                idGBR          -1.29637   0.61661  -2.1024 0.0360800 *        
                idISR           1.05567   0.54114   1.9508 0.0517081 .        
                idITA          -3.86633   0.68020  -5.6841 2.391e-08 ***      
                idJPN         -12.47364   1.13924 -10.9491 < 2.2e-16 ***      
                idKOR         -16.05863   1.03247 -15.5537 < 2.2e-16 ***      
                idNLD           0.77009   0.28285   2.7226 0.0067331 **       
                idNOR          -1.92033   0.86421  -2.2221 0.0267849 *        
                idRUS         -11.74784   1.08072 -10.8704 < 2.2e-16 ***      
                idSWE          -3.66884   0.58761  -6.2436 1.004e-09 ***      
                idUSA          -5.83759   1.38518  -4.2143 3.039e-05 ***      
                time1995      -74.03869   8.68208  -8.5278 2.392e-16 ***      
                time1996      -73.97188   8.68531  -8.5169 2.593e-16 ***      
                time1997      -74.01646   8.68349  -8.5238 2.463e-16 ***      
                time1998      -73.83467   8.68676  -8.4997 2.946e-16 ***      
                time1999      -73.67782   8.69042  -8.4781 3.457e-16 ***      
                time2000      -73.73188   8.69499  -8.4798 3.412e-16 ***      
                time2001      -73.55806   8.69805  -8.4568 4.043e-16 ***      
                time2002      -73.55678   8.70173  -8.4531 4.155e-16 ***      
                time2003      -73.29588   8.70511  -8.4199 5.309e-16 ***      
                time2004      -73.30992   8.71064  -8.4161 5.456e-16 ***      
                time2005      -73.17715   8.71364  -8.3980 6.234e-16 ***      
                time2006      -72.96416   8.71614  -8.3712 7.590e-16 ***      
                time2007      -72.72279   8.72062  -8.3392 9.591e-16 ***      
                time2008      -72.45535   8.72472  -8.3046 1.234e-15 ***      
                time2009      -72.15020   8.72793  -8.2666 1.627e-15 ***      
                time2010      -72.16366   8.73197  -8.2643 1.655e-15 ***      
                time2011      -72.28683   8.73541  -8.2752 1.529e-15 ***      
                time2012      -72.44106   8.73972  -8.2887 1.386e-15 ***      
                time2013      -72.71268   8.74331  -8.3164 1.133e-15 ***      
                time2014      -72.84399   8.74715  -8.3277 1.043e-15 ***      
                time2015      -72.98200   8.75124  -8.3396 9.561e-16 ***      
                time2016      -73.06278   8.75443  -8.3458 9.137e-16 ***      
                time2017      -73.11886   8.75817  -8.3486 8.950e-16 ***      
                time2018      -73.25939   8.76158  -8.3614 8.150e-16 ***      
                time2019      -73.47631   8.76457  -8.3833 6.943e-16 ***      
                fesisAUS.2006  -0.89182   0.14268  -6.2504 9.648e-10 ***      
                fesisAUT.1998  -0.60554   0.20675  -2.9289 0.0035780 **       
                fesisAUT.2015  -0.41710   0.16522  -2.5244 0.0119372 *        
                fesisCHE.2001  -0.80250   0.15632  -5.1337 4.266e-07 ***      
                fesisCHN.2016   0.68668   0.21767   3.1547 0.0017160 **       
                fesisESP.2001  -0.86083   0.21068  -4.0859 5.214e-05 ***      
                fesisESP.2005   1.10716   0.18414   6.0125 3.830e-09 ***      
                fesisFIN.1997  -1.27952   0.24859  -5.1470 3.989e-07 ***      
                fesisFIN.2012   0.82545   0.14376   5.7419 1.742e-08 ***      
                fesisFRA.2003   0.43659   0.17688   2.4682 0.0139556 *        
                fesisFRA.2009   0.54460   0.16473   3.3060 0.0010234 **       
                fesisITA.1996   1.67113   0.39840   4.1946 3.305e-05 ***      
                fesisITA.1998  -1.04451   0.32451  -3.2187 0.0013825 **       
                fesisITA.2000   1.35802   0.26500   5.1246 4.464e-07 ***      
                fesisITA.2006   0.70195   0.16183   4.3377 1.786e-05 ***      
                fesisKOR.2004   0.69545   0.21800   3.1902 0.0015232 **       
                fesisKOR.2007   0.80859   0.20885   3.8716 0.0001245 ***      
                fesisNLD.1997   1.34328   0.28287   4.7487 2.771e-06 ***      
                fesisNLD.2001  -0.67011   0.18091  -3.7042 0.0002389 ***      
                fesisNOR.1998  -0.71500   0.20409  -3.5034 0.0005062 ***      
                fesisRUS.2004  -0.94018   0.16571  -5.6736 2.532e-08 ***      
                fesisSWE.1996   1.27180   0.35255   3.6074 0.0003445 ***      
                fesisSWE.2002  -0.73177   0.15524  -4.7137 3.266e-06 ***      
                fesisUSA.2001   0.42980   0.15670   2.7427 0.0063408 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value        
                Ljung-Box AR(1)   0.089835  1 0.76439        
                Ljung-Box ARCH(1) 4.589830  1 0.03216 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.31514      
                R-squared           0.96775      
                Log-lik.(n=513)  -100.02782      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 03:13:12 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 492       
                Sample: 1 to 492       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.373828   0.038642  9.6742 < 2.2e-16 ***      
                lgdp            1.595088   0.172568  9.2433 < 2.2e-16 ***      
                lpop           -0.362332   0.594311 -0.6097 0.5424051          
                idAUT           1.431088   0.535734  2.6713 0.0078447 **       
                idBEL           1.110550   0.400307  2.7742 0.0057751 **       
                idCAN          -0.190393   0.457142 -0.4165 0.6772638          
                idCHE           0.760517   0.567970  1.3390 0.1812785          
                idCHN          -3.405756   2.432440 -1.4001 0.1621960          
                idDEU           0.369007   0.830302  0.4444 0.6569596          
                idDNK          -1.726880   0.823335 -2.0974 0.0365423 *        
                idESP          -0.019108   0.496363 -0.0385 0.9693105          
                idFIN           1.162782   0.775864  1.4987 0.1346904          
                idFRA          -0.060521   0.692226 -0.0874 0.9303714          
                idGBR           0.043220   0.678683  0.0637 0.9492535          
                idISR          -0.117179   0.596050 -0.1966 0.8442396          
                idITA          -0.335992   0.707196 -0.4751 0.6349550          
                idJPN          -7.280758   1.295918 -5.6182 3.480e-08 ***      
                idKOR         -10.499360   1.166419 -9.0014 < 2.2e-16 ***      
                idNLD          -0.130450   0.394060 -0.3310 0.7407761          
                idNOR          -2.988659   0.900844 -3.3176 0.0009854 ***      
                idRUS          -6.214100   1.272592 -4.8830 1.478e-06 ***      
                idSWE          -2.220443   0.552884 -4.0161 6.987e-05 ***      
                idUSA          -1.596277   1.570178 -1.0166 0.3099075          
                time1996      -36.413833  10.025655 -3.6321 0.0003152 ***      
                time1997      -36.553771  10.026383 -3.6458 0.0002994 ***      
                time1998      -36.492613  10.024805 -3.6402 0.0003057 ***      
                time1999      -36.332797  10.030446 -3.6223 0.0003271 ***      
                time2000      -36.437511  10.031927 -3.6322 0.0003151 ***      
                time2001      -36.341767  10.034958 -3.6215 0.0003280 ***      
                time2002      -36.437425  10.038061 -3.6299 0.0003178 ***      
                time2003      -36.208928  10.041340 -3.6060 0.0003476 ***      
                time2004      -36.221755  10.044658 -3.6061 0.0003475 ***      
                time2005      -36.054816  10.046054 -3.5890 0.0003704 ***      
                time2006      -35.914614  10.048649 -3.5741 0.0003915 ***      
                time2007      -35.711039  10.051342 -3.5529 0.0004234 ***      
                time2008      -35.564396  10.052645 -3.5378 0.0004476 ***      
                time2009      -35.360259  10.052512 -3.5176 0.0004821 ***      
                time2010      -35.444160  10.054993 -3.5250 0.0004691 ***      
                time2011      -35.568677  10.058535 -3.5362 0.0004503 ***      
                time2012      -35.669062  10.064184 -3.5442 0.0004373 ***      
                time2013      -35.892152  10.069135 -3.5646 0.0004055 ***      
                time2014      -35.913939  10.075826 -3.5644 0.0004058 ***      
                time2015      -36.020326  10.081032 -3.5731 0.0003929 ***      
                time2016      -36.005309  10.086657 -3.5696 0.0003980 ***      
                time2017      -36.038753  10.091110 -3.5713 0.0003955 ***      
                time2018      -36.160336  10.095128 -3.5820 0.0003802 ***      
                time2019      -36.282108  10.100990 -3.5919 0.0003663 ***      
                fesisAUS.2005  -0.549776   0.161337 -3.4076 0.0007173 ***      
                fesisCAN.1997  -1.556666   0.495826 -3.1395 0.0018093 **       
                fesisCAN.1998   2.043670   0.497084  4.1113 4.717e-05 ***      
                fesisCAN.1999  -2.135746   0.496484 -4.3017 2.101e-05 ***      
                fesisCAN.2000   1.293709   0.358528  3.6084 0.0003445 ***      
                fesisDNK.2004  -1.463340   0.425793 -3.4367 0.0006463 ***      
                fesisDNK.2005   1.056396   0.359460  2.9388 0.0034727 **       
                fesisESP.2003   0.515798   0.160636  3.2110 0.0014226 **       
                fesisFIN.2012   0.502384   0.153366  3.2757 0.0011397 **       
                fesisITA.1998  -1.524113   0.429879 -3.5454 0.0004352 ***      
                fesisITA.1999   1.804129   0.359408  5.0197 7.605e-07 ***      
                fesisKOR.2003   0.900508   0.168731  5.3370 1.536e-07 ***      
                fesisNLD.1997   2.171864   0.496157  4.3774 1.511e-05 ***      
                fesisNLD.1998  -1.175806   0.362620 -3.2425 0.0012774 **       
                fesisRUS.2004  -0.765606   0.185881 -4.1188 4.573e-05 ***      
                fesisRUS.2019  -0.943413   0.360721 -2.6154 0.0092284 **       
                fesisSWE.2001  -0.580086   0.177274 -3.2723 0.0011534 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value         
                Ljung-Box AR(1)    7.6232  1 0.005762 **      
                Ljung-Box ARCH(1) 10.2286  1 0.001383 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.33913      
                R-squared           0.96076      
                Log-lik.(n=492)  -134.08854      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 03:13:10 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 492       
                Sample: 1 to 492       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                ar1             0.366147   0.036142  10.1309 < 2.2e-16 ***      
                lgdp            1.676383   0.157506  10.6433 < 2.2e-16 ***      
                lpop           -0.419029   0.539486  -0.7767 0.4377738          
                idAUT           2.135079   0.520315   4.1034 4.915e-05 ***      
                idBEL           0.852883   0.467066   1.8260 0.0685723 .        
                idCAN          -0.060754   0.408276  -0.1488 0.8817793          
                idCHE           0.776814   0.511416   1.5189 0.1295482          
                idCHN          -3.443740   2.197488  -1.5671 0.1178585          
                idDEU           0.407856   0.752772   0.5418 0.5882474          
                idDNK          -1.851353   0.749235  -2.4710 0.0138805 *        
                idESP           0.292915   0.455774   0.6427 0.5207950          
                idFIN           2.372922   0.758114   3.1300 0.0018732 **       
                idFRA          -0.469424   0.637696  -0.7361 0.4620766          
                idGBR           0.093133   0.615575   0.1513 0.8798178          
                idISR          -0.155285   0.538762  -0.2882 0.7733203          
                idITA          -0.177321   0.638316  -0.2778 0.7813099          
                idJPN          -7.634724   1.161139  -6.5752 1.486e-10 ***      
                idKOR         -10.992875   1.053229 -10.4373 < 2.2e-16 ***      
                idNLD           0.040063   0.350023   0.1145 0.9089308          
                idNOR          -2.694565   0.860067  -3.1330 0.0018550 **       
                idRUS          -6.754368   1.149647  -5.8752 8.763e-09 ***      
                idSWE          -2.336938   0.503904  -4.6377 4.749e-06 ***      
                idUSA          -1.621534   1.418559  -1.1431 0.2536717          
                time1996      -37.823548   9.014833  -4.1957 3.339e-05 ***      
                time1997      -37.986212   9.014691  -4.2138 3.092e-05 ***      
                time1998      -37.637558   9.013276  -4.1758 3.631e-05 ***      
                time1999      -37.606376   9.018288  -4.1700 3.721e-05 ***      
                time2000      -37.665021   9.020202  -4.1756 3.634e-05 ***      
                time2001      -37.595529   9.023038  -4.1666 3.774e-05 ***      
                time2002      -37.671988   9.026463  -4.1735 3.666e-05 ***      
                time2003      -37.531289   9.028550  -4.1570 3.931e-05 ***      
                time2004      -37.517989   9.031075  -4.1543 3.974e-05 ***      
                time2005      -37.310217   9.032177  -4.1308 4.385e-05 ***      
                time2006      -37.214288   9.033665  -4.1195 4.597e-05 ***      
                time2007      -37.011201   9.036008  -4.0960 5.069e-05 ***      
                time2008      -36.862474   9.037148  -4.0790 5.438e-05 ***      
                time2009      -36.653161   9.037094  -4.0559 5.983e-05 ***      
                time2010      -36.737303   9.039261  -4.0642 5.781e-05 ***      
                time2011      -36.862998   9.042409  -4.0767 5.491e-05 ***      
                time2012      -36.963095   9.047377  -4.0855 5.294e-05 ***      
                time2013      -37.187572   9.051829  -4.1083 4.817e-05 ***      
                time2014      -37.212406   9.057844  -4.1083 4.816e-05 ***      
                time2015      -37.320655   9.062512  -4.1181 4.623e-05 ***      
                time2016      -37.254585   9.068301  -4.1082 4.818e-05 ***      
                time2017      -37.348501   9.072216  -4.1168 4.649e-05 ***      
                time2018      -37.471542   9.075800  -4.1287 4.424e-05 ***      
                time2019      -37.630748   9.081478  -4.1437 4.156e-05 ***      
                fesisAUS.2005  -0.553460   0.144248  -3.8369 0.0001443 ***      
                fesisAUT.1998  -1.714870   0.379416  -4.5198 8.117e-06 ***      
                fesisAUT.1999   1.067936   0.317985   3.3584 0.0008573 ***      
                fesisBEL.1997   1.391791   0.438256   3.1757 0.0016077 **       
                fesisBEL.1998  -1.102349   0.319905  -3.4459 0.0006282 ***      
                fesisCAN.1997  -1.529918   0.438143  -3.4918 0.0005320 ***      
                fesisCAN.1998   1.743558   0.439803   3.9644 8.684e-05 ***      
                fesisCAN.1999  -1.997862   0.437955  -4.5618 6.713e-06 ***      
                fesisCAN.2000   1.331701   0.337825   3.9420 9.504e-05 ***      
                fesisCAN.2005  -0.890143   0.336784  -2.6431 0.0085315 **       
                fesisCAN.2006   0.912798   0.317400   2.8759 0.0042400 **       
                fesisDNK.2004  -1.446086   0.375046  -3.8558 0.0001340 ***      
                fesisDNK.2005   1.056227   0.316550   3.3367 0.0009254 ***      
                fesisESP.2001  -0.891080   0.259139  -3.4386 0.0006447 ***      
                fesisESP.2003   1.213561   0.236529   5.1307 4.468e-07 ***      
                fesisESP.2016  -1.118889   0.317990  -3.5186 0.0004825 ***      
                fesisESP.2017   1.233448   0.353710   3.4872 0.0005411 ***      
                fesisFIN.1997  -1.053181   0.358722  -2.9359 0.0035132 **       
                fesisFIN.2000  -0.993873   0.354671  -2.8022 0.0053161 **       
                fesisFIN.2001   0.855878   0.322083   2.6573 0.0081850 **       
                fesisFIN.2012   0.474462   0.151246   3.1370 0.0018301 **       
                fesisFIN.2019   0.697919   0.327852   2.1288 0.0338710 *        
                fesisFRA.2001   0.565536   0.161022   3.5122 0.0004940 ***      
                fesisITA.1998  -1.793830   0.381171  -4.7061 3.461e-06 ***      
                fesisITA.1999   1.955931   0.318220   6.1465 1.883e-09 ***      
                fesisKOR.2003   0.902472   0.150076   6.0134 4.030e-09 ***      
                fesisNLD.1997   2.188322   0.438739   4.9878 9.046e-07 ***      
                fesisNLD.1998  -1.323264   0.322527  -4.1028 4.928e-05 ***      
                fesisNOR.1998  -1.395345   0.379469  -3.6771 0.0002674 ***      
                fesisNOR.1999   1.175620   0.356111   3.3013 0.0010470 **       
                fesisNOR.2002  -1.316112   0.354256  -3.7151 0.0002313 ***      
                fesisNOR.2003   1.118387   0.316601   3.5325 0.0004586 ***      
                fesisRUS.2002   0.879378   0.267887   3.2826 0.0011167 **       
                fesisRUS.2004  -1.332046   0.236654  -5.6287 3.377e-08 ***      
                fesisRUS.2019  -0.894679   0.318166  -2.8120 0.0051606 **       
                fesisSWE.2001  -0.596609   0.158898  -3.7547 0.0001987 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   1.1896  1 0.27541        
                Ljung-Box ARCH(1) 3.7166  1 0.05387 .      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.29854      
                R-squared          0.97094      
                Log-lik.(n=492)  -61.86191      

Wind

with IIS

Count

AR 0

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 09:42:44 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.8381e-14  8.3543e-15   3.3972 0.0007390 ***      
                pop            1.0454e-06  9.1485e-08  11.4269 < 2.2e-16 ***      
                idAUT          5.2621e+00  5.3861e+00   0.9770 0.3290834          
                idBEL          1.7893e+00  5.3416e+00   0.3350 0.7378004          
                idCAN         -1.3719e+01  5.3644e+00  -2.5575 0.0108583 *        
                idCHE          4.2037e+00  5.3989e+00   0.7786 0.4366017          
                idCHN         -1.2589e+03  1.1055e+02 -11.3877 < 2.2e-16 ***      
                idDEU         -4.2634e+01  9.9714e+00  -4.2756 2.312e-05 ***      
                idDNK          2.0967e+02  6.2783e+00  33.3957 < 2.2e-16 ***      
                idESP         -4.9479e+00  5.6514e+00  -0.8755 0.3817429          
                idFIN          5.1681e+00  5.4538e+00   0.9476 0.3438203          
                idFRA         -4.0230e+01  6.5335e+00  -6.1575 1.594e-09 ***      
                idGBR         -1.5719e+01  6.4332e+00  -2.4435 0.0149157 *        
                idISR          3.8761e+00  5.4073e+00   0.7168 0.4738391          
                idITA         -4.0424e+01  6.2607e+00  -6.4568 2.685e-10 ***      
                idJPN         -9.8336e+01  1.2031e+01  -8.1736 2.839e-15 ***      
                idKOR         -4.9039e+01  1.1953e+01  -4.1028 4.817e-05 ***      
                idNLD          7.8047e+00  5.2719e+00   1.4805 0.1394274          
                idNOR          1.0654e+01  5.4659e+00   1.9492 0.0518641 .        
                idRUS         -1.4157e+02  1.2438e+01 -11.3817 < 2.2e-16 ***      
                idSWE          5.3099e+00  5.3658e+00   0.9896 0.3228844          
                idUSA         -2.4732e+02  2.4881e+01  -9.9399 < 2.2e-16 ***      
                time1995      -1.9621e+01  5.6242e+00  -3.4888 0.0005312 ***      
                time1996      -1.9540e+01  5.6476e+00  -3.4599 0.0005899 ***      
                time1997      -2.0561e+01  5.6721e+00  -3.6249 0.0003208 ***      
                time1998      -2.0667e+01  5.6974e+00  -3.6274 0.0003178 ***      
                time1999      -1.5989e+01  5.6568e+00  -2.8265 0.0049078 **       
                time2000      -1.8070e+01  5.6746e+00  -3.1844 0.0015474 **       
                time2001      -1.5343e+01  5.6954e+00  -2.6938 0.0073177 **       
                time2002      -1.5373e+01  5.7160e+00  -2.6895 0.0074124 **       
                time2003      -1.1965e+01  5.6114e+00  -2.1322 0.0335125 *        
                time2004      -1.1430e+01  5.6287e+00  -2.0307 0.0428545 *        
                time2005      -1.0779e+01  5.6465e+00  -1.9089 0.0568850 .        
                time2006      -4.3642e+00  5.6650e+00  -0.7704 0.4414694          
                time2007      -1.0123e+01  5.6849e+00  -1.7807 0.0756050 .        
                time2008       3.4101e+00  5.8671e+00   0.5812 0.5613747          
                time2009       1.1933e+01  5.8808e+00   2.0292 0.0430070 *        
                time2010       1.5185e+01  5.9587e+00   2.5484 0.0111399 *        
                time2011       1.7806e+01  5.9756e+00   2.9797 0.0030355 **       
                time2012       8.3518e+00  5.9957e+00   1.3930 0.1642907          
                time2013      -7.0629e-01  5.9681e+00  -0.1183 0.9058455          
                time2014      -3.1815e+00  5.9411e+00  -0.5355 0.5925539          
                time2015      -7.2057e+00  5.9636e+00  -1.2083 0.2275501          
                time2016      -7.2759e+00  6.0316e+00  -1.2063 0.2283144          
                time2017      -6.4748e-01  6.0102e+00  -0.1077 0.9142555          
                time2018      -7.6058e+00  6.0760e+00  -1.2518 0.2112742          
                time2019      -1.2310e+01  6.0457e+00  -2.0362 0.0422951 *        
                time2020      -7.6554e+00  6.0577e+00  -1.2638 0.2069483          
                iis172         1.2440e+02  1.6542e+01   7.5204 2.822e-13 ***      
                iis173         1.2970e+02  1.6541e+01   7.8409 3.060e-14 ***      
                iis174         9.9164e+01  1.6542e+01   5.9948 4.080e-09 ***      
                iis178         4.5359e+01  1.6523e+01   2.7452 0.0062805 **       
                iis180         6.9603e+01  1.6524e+01   4.2123 3.034e-05 ***      
                iis183        -1.9056e+02  1.6258e+01 -11.7208 < 2.2e-16 ***      
                iis184        -1.9251e+02  1.6255e+01 -11.8426 < 2.2e-16 ***      
                iis185        -1.9168e+02  1.6253e+01 -11.7932 < 2.2e-16 ***      
                iis186        -1.7609e+02  1.6253e+01 -10.8348 < 2.2e-16 ***      
                iis187        -1.8279e+02  1.6253e+01 -11.2463 < 2.2e-16 ***      
                iis188        -1.8373e+02  1.6250e+01 -11.3066 < 2.2e-16 ***      
                iis189        -1.8348e+02  1.6248e+01 -11.2921 < 2.2e-16 ***      
                iis190        -1.7397e+02  1.6247e+01 -10.7076 < 2.2e-16 ***      
                iis191        -1.8239e+02  1.6246e+01 -11.2267 < 2.2e-16 ***      
                iis192        -1.8744e+02  1.6244e+01 -11.5391 < 2.2e-16 ***      
                iis193        -1.7844e+02  1.6242e+01 -10.9863 < 2.2e-16 ***      
                iis194        -1.4904e+02  1.6240e+01  -9.1773 < 2.2e-16 ***      
                iis533         6.6452e+01  1.6846e+01   3.9446 9.220e-05 ***      
                iis534         1.1259e+02  1.6823e+01   6.6929 6.287e-11 ***      
                iis535         2.1057e+02  1.6807e+01  12.5287 < 2.2e-16 ***      
                iis536         2.1106e+02  1.6810e+01  12.5558 < 2.2e-16 ***      
                iis537         1.2503e+02  1.6800e+01   7.4419 4.810e-13 ***      
                iis538         7.2155e+01  1.6793e+01   4.2968 2.109e-05 ***      
                iis539         1.1292e+02  1.6767e+01   6.7348 4.839e-11 ***      
                fesisAUS.2008 -1.7743e+01  6.1946e+00  -2.8644 0.0043669 **       
                fesisCHN.1999 -4.9105e+01  1.1757e+01  -4.1768 3.528e-05 ***      
                fesisCHN.2003 -3.5108e+01  1.1520e+01  -3.0476 0.0024376 **       
                fesisDEU.2000  6.2373e+01  9.1970e+00   6.7818 3.600e-11 ***      
                fesisDEU.2007  9.6254e+01  7.9421e+00  12.1195 < 2.2e-16 ***      
                fesisJPN.2010  6.1453e+01  6.2667e+00   9.8063 < 2.2e-16 ***      
                fesisUSA.2007  8.4704e+01  8.2000e+00  10.3297 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   145.697  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1)  60.273  1 8.216e-15 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    15.29507      
                R-squared            0.95181      
                Log-lik.(n=546)  -2224.47198      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 09:42:41 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            1.2942e-14  6.2747e-15   2.0625 0.0397469 *        
                pop            1.0384e-06  1.2810e-07   8.1067 5.255e-15 ***      
                idAUT          9.9003e+00  4.6636e+00   2.1229 0.0343231 *        
                idBEL          8.5724e+00  4.6889e+00   1.8282 0.0681973 .        
                idCAN         -1.0135e+01  4.5304e+00  -2.2371 0.0257825 *        
                idCHE          1.0538e+01  4.6968e+00   2.2436 0.0253601 *        
                idCHN         -1.2506e+03  1.5447e+02  -8.0965 5.653e-15 ***      
                idDEU         -4.2548e+01  1.0033e+01  -4.2407 2.720e-05 ***      
                idDNK          1.7074e+02  7.6879e+00  22.2087 < 2.2e-16 ***      
                idESP         -1.1046e+01  4.8315e+00  -2.2863 0.0227158 *        
                idFIN          1.2253e+01  4.7879e+00   2.5593 0.0108246 *        
                idFRA         -4.6176e+01  6.6580e+00  -6.9353 1.461e-11 ***      
                idGBR         -2.1683e+01  6.4643e+00  -3.3542 0.0008650 ***      
                idISR          1.0991e+01  4.6547e+00   2.3614 0.0186437 *        
                idITA         -4.6412e+01  6.1245e+00  -7.5781 2.108e-13 ***      
                idJPN         -1.0756e+02  1.5048e+01  -7.1482 3.705e-12 ***      
                idKOR         -3.5314e+01  9.3354e+00  -3.7828 0.0001766 ***      
                idNLD          1.5083e+00  3.9173e+00   0.3850 0.7004058          
                idNOR          1.4280e+01  4.8211e+00   2.9619 0.0032239 **       
                idRUS         -1.3471e+02  1.6867e+01  -7.9867 1.234e-14 ***      
                idSWE          1.2231e+01  4.6320e+00   2.6405 0.0085738 **       
                idUSA         -2.1072e+02  3.6102e+01  -5.8367 1.037e-08 ***      
                time1995      -1.9387e+01  4.5508e+00  -4.2601 2.503e-05 ***      
                time1996      -1.8990e+01  4.6007e+00  -4.1275 4.391e-05 ***      
                time1997      -2.0073e+01  4.6513e+00  -4.3155 1.970e-05 ***      
                time1998      -2.0067e+01  4.7009e+00  -4.2688 2.411e-05 ***      
                time1999      -1.5260e+01  4.5914e+00  -3.3236 0.0009631 ***      
                time2000      -1.7767e+01  4.6301e+00  -3.8373 0.0001427 ***      
                time2001      -1.4714e+01  4.6707e+00  -3.1502 0.0017433 **       
                time2002      -1.6414e+01  4.7123e+00  -3.4833 0.0005452 ***      
                time2003      -1.3434e+01  4.5868e+00  -2.9288 0.0035805 **       
                time2004      -1.4753e+01  4.5916e+00  -3.2130 0.0014104 **       
                time2005      -1.4048e+01  4.6351e+00  -3.0307 0.0025845 **       
                time2006      -6.4312e+00  4.6975e+00  -1.3691 0.1716779          
                time2007      -4.9693e-01  4.9458e+00  -0.1005 0.9200135          
                time2008       1.3589e+01  5.1499e+00   2.6387 0.0086187 **       
                time2009       2.3089e+01  5.2065e+00   4.4346 1.168e-05 ***      
                time2010       2.2560e+01  5.2816e+00   4.2715 2.383e-05 ***      
                time2011       2.6395e+01  5.0873e+00   5.1884 3.250e-07 ***      
                time2012       2.2703e+01  5.1233e+00   4.4314 1.185e-05 ***      
                time2013       1.4222e+01  5.1422e+00   2.7658 0.0059180 **       
                time2014       1.1748e+01  5.1459e+00   2.2831 0.0229039 *        
                time2015       7.7709e+00  5.1947e+00   1.4959 0.1353934          
                time2016       5.2704e+00  5.2811e+00   0.9980 0.3188392          
                time2017       1.0340e+01  5.3324e+00   1.9391 0.0531288 .        
                time2018       6.3232e+00  5.4193e+00   1.1668 0.2439335          
                time2019       4.1628e+00  5.4000e+00   0.7709 0.4411923          
                time2020       6.8695e+00  5.4508e+00   1.2603 0.2082410          
                iis170         2.9075e+01  1.2306e+01   2.3626 0.0185851 *        
                iis171         3.0376e+01  1.2303e+01   2.4689 0.0139323 *        
                iis172         1.4185e+02  1.2305e+01  11.5279 < 2.2e-16 ***      
                iis173         1.4592e+02  1.2303e+01  11.8605 < 2.2e-16 ***      
                iis174         1.0963e+02  1.2296e+01   8.9159 < 2.2e-16 ***      
                iis178         5.7642e+01  1.2284e+01   4.6924 3.616e-06 ***      
                iis179         4.6201e+01  1.2284e+01   3.7610 0.0001922 ***      
                iis180         8.0510e+01  1.2297e+01   6.5471 1.645e-10 ***      
                iis183        -1.5181e+02  1.3231e+01 -11.4739 < 2.2e-16 ***      
                iis184        -1.5407e+02  1.3225e+01 -11.6495 < 2.2e-16 ***      
                iis185        -1.5318e+02  1.3221e+01 -11.5857 < 2.2e-16 ***      
                iis186        -1.3770e+02  1.3219e+01 -10.4169 < 2.2e-16 ***      
                iis187        -1.4453e+02  1.3225e+01 -10.9287 < 2.2e-16 ***      
                iis188        -1.4504e+02  1.3219e+01 -10.9723 < 2.2e-16 ***      
                iis189        -1.4511e+02  1.3216e+01 -10.9804 < 2.2e-16 ***      
                iis190        -1.3393e+02  1.3207e+01 -10.1412 < 2.2e-16 ***      
                iis191        -1.4193e+02  1.3206e+01 -10.7471 < 2.2e-16 ***      
                iis192        -1.4512e+02  1.3195e+01 -10.9984 < 2.2e-16 ***      
                iis193        -1.3618e+02  1.3191e+01 -10.3232 < 2.2e-16 ***      
                iis194        -1.0798e+02  1.3181e+01  -8.1923 2.841e-15 ***      
                iis206         4.1742e+01  1.3143e+01   3.1759 0.0015995 **       
                iis208         4.0356e+01  1.3132e+01   3.0730 0.0022512 **       
                iis521        -4.2551e+01  1.3622e+01  -3.1238 0.0019037 **       
                iis522        -4.7690e+01  1.3547e+01  -3.5203 0.0004762 ***      
                iis523        -4.5502e+01  1.3474e+01  -3.3770 0.0007983 ***      
                iis524        -4.8334e+01  1.3410e+01  -3.6045 0.0003487 ***      
                iis525        -5.0124e+01  1.3304e+01  -3.7676 0.0001874 ***      
                iis526        -4.2033e+01  1.3255e+01  -3.1711 0.0016254 **       
                iis527        -4.7669e+01  1.3223e+01  -3.6051 0.0003479 ***      
                iis528        -4.3230e+01  1.3194e+01  -3.2766 0.0011342 **       
                iis529        -3.8294e+01  1.3154e+01  -2.9113 0.0037831 **       
                iis534         4.5608e+01  1.6093e+01   2.8340 0.0048092 **       
                iis535         2.1329e+02  1.2372e+01  17.2396 < 2.2e-16 ***      
                iis536         2.1759e+02  1.2330e+01  17.6477 < 2.2e-16 ***      
                iis537         1.3036e+02  1.2241e+01  10.6499 < 2.2e-16 ***      
                iis538         7.1751e+01  1.2215e+01   5.8741 8.422e-09 ***      
                iis539         1.1196e+02  1.2186e+01   9.1879 < 2.2e-16 ***      
                fesisAUS.2008 -3.0240e+01  4.6726e+00  -6.4718 2.598e-10 ***      
                fesisAUT.2007 -2.0421e+01  4.7274e+00  -4.3198 1.934e-05 ***      
                fesisBEL.2006 -2.2747e+01  4.7413e+00  -4.7977 2.205e-06 ***      
                fesisCAN.2009 -2.1119e+01  4.6700e+00  -4.5222 7.889e-06 ***      
                fesisCHE.2007 -2.3571e+01  4.7221e+00  -4.9915 8.661e-07 ***      
                fesisCHN.1999 -4.8414e+01  9.7563e+00  -4.9623 9.988e-07 ***      
                fesisCHN.2003 -3.0675e+01  9.0788e+00  -3.3787 0.0007934 ***      
                fesisCHN.2011 -2.2064e+01  1.0017e+01  -2.2026 0.0281423 *        
                fesisDEU.2000  6.4362e+01  6.6860e+00   9.6265 < 2.2e-16 ***      
                fesisDEU.2007  6.9969e+01  6.5128e+00  10.7433 < 2.2e-16 ***      
                fesisDNK.2010  9.7111e+01  1.0412e+01   9.3266 < 2.2e-16 ***      
                fesisDNK.2012 -1.0863e+02  9.8679e+00 -11.0082 < 2.2e-16 ***      
                fesisDNK.2016  3.9752e+01  8.6964e+00   4.5710 6.322e-06 ***      
                fesisFIN.2007 -2.5008e+01  4.7311e+00  -5.2859 1.977e-07 ***      
                fesisISR.2008 -2.6942e+01  4.6839e+00  -5.7519 1.658e-08 ***      
                fesisJPN.2002  3.0258e+01  5.9294e+00   5.1030 4.991e-07 ***      
                fesisJPN.2010  5.4801e+01  5.7904e+00   9.4642 < 2.2e-16 ***      
                fesisJPN.2018 -6.7159e+01  7.7236e+00  -8.6953 < 2.2e-16 ***      
                fesisNOR.2007 -1.8515e+01  4.7259e+00  -3.9177 0.0001037 ***      
                fesisRUS.2007 -2.0791e+01  4.7619e+00  -4.3662 1.579e-05 ***      
                fesisSWE.2007 -2.4552e+01  4.7227e+00  -5.1987 3.085e-07 ***      
                fesisUSA.2007  1.0728e+02  1.3175e+01   8.1427 4.060e-15 ***      
                fesisUSA.2009 -7.0675e+01  1.2482e+01  -5.6623 2.706e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   57.035  1 4.285e-14 ***      
                Ljung-Box ARCH(1) 33.616  1 6.715e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    11.09268      
                R-squared            0.97623      
                Log-lik.(n=546)  -2034.57240      

AR 1

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 09:42:40 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.1370e-01  1.8967e-02  42.9002 < 2.2e-16 ***      
                gdp            2.6122e-15  4.9367e-15   0.5291 0.5969737          
                pop            1.9362e-07  3.2746e-08   5.9127 6.670e-09 ***      
                idAUT          2.9238e+00  2.4442e+00   1.1962 0.2322475          
                idBEL          2.1101e+00  2.4308e+00   0.8681 0.3858060          
                idCAN         -7.6113e-01  2.4339e+00  -0.3127 0.7546425          
                idCHE          2.4550e+00  2.4463e+00   1.0036 0.3161287          
                idCHN         -2.3926e+02  4.2485e+01  -5.6317 3.152e-08 ***      
                idDEU          6.5975e+00  3.8418e+00   1.7173 0.0866173 .        
                idDNK          8.3355e+00  3.2836e+00   2.5385 0.0114692 *        
                idESP          2.0840e+00  2.5230e+00   0.8260 0.4092435          
                idFIN          2.4836e+00  2.4604e+00   1.0094 0.3133082          
                idFRA         -4.7285e+00  2.7509e+00  -1.7189 0.0863259 .        
                idGBR          1.6724e-01  2.7264e+00   0.0613 0.9511149          
                idISR          2.2649e+00  2.4479e+00   0.9252 0.3553393          
                idITA         -5.4676e+00  2.6791e+00  -2.0409 0.0418472 *        
                idJPN         -8.0416e+00  4.8946e+00  -1.6430 0.1010932          
                idKOR         -2.8787e+00  6.9000e+00  -0.4172 0.6767338          
                idNLD          4.2483e+00  2.4242e+00   1.7524 0.0803812 .        
                idNOR          4.5478e+00  2.4688e+00   1.8421 0.0661208 .        
                idRUS         -2.4352e+01  4.7235e+00  -5.1555 3.799e-07 ***      
                idSWE          2.6372e+00  2.4402e+00   1.0807 0.2803906          
                idUSA         -3.7089e+01  9.1052e+00  -4.0734 5.478e-05 ***      
                time1996      -5.9256e+00  2.5692e+00  -2.3064 0.0215421 *        
                time1997      -6.9145e+00  2.5717e+00  -2.6887 0.0074392 **       
                time1998      -5.6321e+00  2.5780e+00  -2.1847 0.0294296 *        
                time1999      -4.0165e+00  2.5787e+00  -1.5576 0.1200359          
                time2000      -4.8278e+00  2.5756e+00  -1.8744 0.0615200 .        
                time2001      -2.8445e+00  2.5764e+00  -1.1040 0.2701712          
                time2002      -4.6342e+00  2.5738e+00  -1.8006 0.0724440 .        
                time2003      -3.6944e+00  2.5762e+00  -1.4340 0.1522596          
                time2004      -4.4561e+00  2.5775e+00  -1.7289 0.0845200 .        
                time2005      -3.6197e+00  2.5807e+00  -1.4026 0.1614214          
                time2006       1.3589e-01  2.6247e+00   0.0518 0.9587339          
                time2007       4.0249e-01  2.6554e+00   0.1516 0.8795880          
                time2008       3.9813e+00  2.6669e+00   1.4929 0.1361735          
                time2009       5.7946e+00  2.6301e+00   2.2032 0.0280895 *        
                time2010      -5.1600e-01  2.7256e+00  -0.1893 0.8499332          
                time2011       3.7796e+00  2.6712e+00   1.4149 0.1577840          
                time2012      -5.5861e+00  2.6681e+00  -2.0937 0.0368481 *        
                time2013      -6.3171e+00  2.6955e+00  -2.3436 0.0195354 *        
                time2014      -6.0857e+00  2.6562e+00  -2.2911 0.0224174 *        
                time2015      -5.8343e+00  2.6338e+00  -2.2152 0.0272484 *        
                time2016      -4.0036e+00  2.7063e+00  -1.4794 0.1397451          
                time2017       8.8995e-02  2.6820e+00   0.0332 0.9735440          
                time2018      -4.8815e+00  2.7122e+00  -1.7998 0.0725622 .        
                time2019      -5.1930e+00  2.7270e+00  -1.9043 0.0575141 .        
                time2020       2.1156e+00  2.7330e+00   0.7741 0.4392912          
                iis163         3.6018e+01  9.2532e+00   3.8925 0.0001143 ***      
                iis165         1.0441e+02  9.2177e+00  11.3271 < 2.2e-16 ***      
                iis168        -9.3647e+01  9.3315e+00 -10.0356 < 2.2e-16 ***      
                iis171         4.3842e+01  9.2224e+00   4.7538 2.692e-06 ***      
                iis174        -5.6157e+01  9.2589e+00  -6.0652 2.801e-09 ***      
                iis175        -5.6232e+01  9.2048e+00  -6.1090 2.175e-09 ***      
                iis187         3.0471e+01  1.0248e+01   2.9733 0.0031049 **       
                iis188         4.8012e+01  1.0103e+01   4.7524 2.710e-06 ***      
                iis190         6.2575e+01  1.0121e+01   6.1827 1.417e-09 ***      
                iis196         4.7450e+01  1.0081e+01   4.7069 3.356e-06 ***      
                iis198         4.6945e+01  1.0099e+01   4.6485 4.401e-06 ***      
                iis200         7.8643e+01  1.2370e+01   6.3574 5.052e-10 ***      
                iis365         6.4295e+01  8.9760e+00   7.1630 3.254e-12 ***      
                iis512         4.1128e+01  1.1214e+01   3.6676 0.0002742 ***      
                iis514         6.6318e+01  1.0701e+01   6.1975 1.300e-09 ***      
                iis518         6.6512e+01  9.8610e+00   6.7450 4.727e-11 ***      
                iis519        -4.3836e+01  9.9756e+00  -4.3944 1.388e-05 ***      
                iis522         6.3728e+01  9.7507e+00   6.5358 1.722e-10 ***      
                iis523        -3.3708e+01  9.8029e+00  -3.4386 0.0006392 ***      
                fesisDEU.2006  2.7395e+01  4.8591e+00   5.6378 3.049e-08 ***      
                fesisDNK.2006  3.9945e+01  6.3583e+00   6.2824 7.889e-10 ***      
                fesisDNK.2012 -6.1483e+01  8.0812e+00  -7.6081 1.648e-13 ***      
                fesisDNK.2014  4.9097e+01  8.0684e+00   6.0852 2.496e-09 ***      
                fesisDNK.2019 -3.2519e+01  1.0193e+01  -3.1904 0.0015205 **       
                fesisJPN.2016 -1.6893e+01  4.4386e+00  -3.8058 0.0001610 ***      
                fesisUSA.2007  6.5448e+01  8.0902e+00   8.0899 5.629e-15 ***      
                fesisUSA.2011 -9.3899e+01  8.7491e+00 -10.7324 < 2.2e-16 ***      
                fesisUSA.2013  2.4027e+01  8.1406e+00   2.9515 0.0033278 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value          
                Ljung-Box AR(1)    1.0545  1  0.3045          
                Ljung-Box ARCH(1) 69.5183  1  <2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.50525      
                R-squared            0.98550      
                Log-lik.(n=525)  -1830.80156      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 09:42:37 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            7.8708e-01  2.0062e-02  39.2320 < 2.2e-16 ***      
                gdp            3.6980e-15  4.5286e-15   0.8166 0.4146100          
                pop            2.1150e-07  3.0708e-08   6.8875 1.960e-11 ***      
                idAUT          3.1640e+00  2.2270e+00   1.4208 0.1560914          
                idBEL          2.2873e+00  2.2138e+00   1.0332 0.3020635          
                idCAN         -7.6684e-01  2.2155e+00  -0.3461 0.7294076          
                idCHE          2.6678e+00  2.2285e+00   1.1972 0.2318842          
                idCHN         -2.6159e+02  3.9764e+01  -6.5786 1.345e-10 ***      
                idDEU          6.7470e+00  3.5010e+00   1.9272 0.0546008 .        
                idDNK          8.7029e+00  2.9975e+00   2.9033 0.0038769 **       
                idESP          8.5854e-01  2.6408e+00   0.3251 0.7452517          
                idFIN          2.7010e+00  2.2414e+00   1.2050 0.2288361          
                idFRA         -5.1600e+00  2.5111e+00  -2.0548 0.0404817 *        
                idGBR          3.8750e-01  2.4828e+00   0.1561 0.8760470          
                idISR          2.4677e+00  2.2297e+00   1.1067 0.2690074          
                idITA         -5.9370e+00  2.4467e+00  -2.4265 0.0156439 *        
                idJPN         -1.4448e+01  4.7772e+00  -3.0244 0.0026361 **       
                idKOR         -4.1310e+00  6.3193e+00  -0.6537 0.5136449          
                idNLD          4.6232e+00  2.2114e+00   2.0906 0.0371371 *        
                idNOR          4.8790e+00  2.2512e+00   2.1673 0.0307478 *        
                idRUS         -2.6677e+01  4.4062e+00  -6.0545 3.012e-09 ***      
                idSWE          2.8964e+00  2.2236e+00   1.3026 0.1934040          
                idUSA         -4.1326e+01  8.4666e+00  -4.8810 1.477e-06 ***      
                time1996      -6.1272e+00  2.3447e+00  -2.6132 0.0092747 **       
                time1997      -7.1081e+00  2.3467e+00  -3.0289 0.0025983 **       
                time1998      -5.8382e+00  2.3528e+00  -2.4814 0.0134588 *        
                time1999      -4.2029e+00  2.3529e+00  -1.7862 0.0747443 .        
                time2000      -4.9541e+00  2.3488e+00  -2.1092 0.0354904 *        
                time2001      -2.9398e+00  2.3490e+00  -1.2515 0.2114000          
                time2002      -4.6516e+00  2.3452e+00  -1.9834 0.0479402 *        
                time2003      -3.6932e+00  2.3472e+00  -1.5734 0.1163400          
                time2004      -4.4151e+00  2.3479e+00  -1.8804 0.0607051 .        
                time2005      -3.5654e+00  2.3506e+00  -1.5168 0.1300415          
                time2006      -3.8471e-01  2.3925e+00  -0.1608 0.8723236          
                time2007       2.1472e-01  2.4204e+00   0.0887 0.9293481          
                time2008       4.0755e+00  2.4287e+00   1.6781 0.0940434 .        
                time2009       5.1039e+00  2.4075e+00   2.1200 0.0345631 *        
                time2010      -1.2190e-01  2.4850e+00  -0.0491 0.9608986          
                time2011       9.9037e-01  2.4642e+00   0.4019 0.6879434          
                time2012      -6.7258e+00  2.4489e+00  -2.7464 0.0062706 **       
                time2013      -6.5116e+00  2.4611e+00  -2.6458 0.0084402 **       
                time2014      -5.6386e+00  2.4347e+00  -2.3160 0.0210175 *        
                time2015      -5.4618e+00  2.4158e+00  -2.2609 0.0242516 *        
                time2016      -4.0597e+00  2.4725e+00  -1.6419 0.1013159          
                time2017       7.7512e-01  2.4568e+00   0.3155 0.7525305          
                time2018      -5.2908e+00  2.5408e+00  -2.0823 0.0378880 *        
                time2019      -5.3745e+00  2.4941e+00  -2.1549 0.0317066 *        
                time2020       1.8593e+00  2.5014e+00   0.7433 0.4576863          
                iis163         3.1355e+01  9.1871e+00   3.4129 0.0007019 ***      
                iis165         8.1667e+01  1.1453e+01   7.1307 4.103e-12 ***      
                iis168        -7.6821e+01  8.9625e+00  -8.5714 < 2.2e-16 ***      
                iis171         5.7230e+01  8.9568e+00   6.3896 4.225e-10 ***      
                iis173         4.4054e+01  8.9053e+00   4.9469 1.074e-06 ***      
                iis174        -4.0531e+01  8.9035e+00  -4.5522 6.872e-06 ***      
                iis175        -4.2145e+01  8.9064e+00  -4.7320 2.997e-06 ***      
                iis187         2.6272e+01  9.4133e+00   2.7910 0.0054827 **       
                iis188         4.5358e+01  9.2094e+00   4.9252 1.193e-06 ***      
                iis190         6.2192e+01  9.2216e+00   6.7442 4.832e-11 ***      
                iis196         4.7627e+01  9.1802e+00   5.1880 3.245e-07 ***      
                iis198         7.8647e+01  1.1287e+01   6.9681 1.173e-11 ***      
                iis200         7.7444e+01  1.1269e+01   6.8723 2.159e-11 ***      
                iis365         5.2642e+01  8.6329e+00   6.0977 2.348e-09 ***      
                iis373        -2.2706e+01  8.9093e+00  -2.5486 0.0111526 *        
                iis512         3.6447e+01  1.0397e+01   3.5054 0.0005025 ***      
                iis514         6.6631e+01  9.7470e+00   6.8361 2.713e-11 ***      
                iis518         6.8976e+01  9.0134e+00   7.6526 1.247e-13 ***      
                iis519        -4.1151e+01  9.1673e+00  -4.4889 9.145e-06 ***      
                iis522         6.2982e+01  8.8761e+00   7.0957 5.151e-12 ***      
                iis523        -3.1938e+01  8.9601e+00  -3.5645 0.0004043 ***      
                fesisDEU.2006  3.4592e+01  5.4429e+00   6.3554 5.182e-10 ***      
                fesisDEU.2010  1.9670e+01  9.8414e+00   1.9987 0.0462536 *        
                fesisDEU.2012 -3.6902e+01  9.0242e+00  -4.0892 5.143e-05 ***      
                fesisDNK.2006  4.5516e+01  6.0024e+00   7.5829 2.010e-13 ***      
                fesisDNK.2012 -5.9868e+01  7.4128e+00  -8.0764 6.404e-15 ***      
                fesisDNK.2014  4.5743e+01  7.3789e+00   6.1992 1.303e-09 ***      
                fesisDNK.2018 -2.9904e+01  9.3056e+00  -3.2135 0.0014071 **       
                fesisESP.2011  3.5526e+01  6.0091e+00   5.9120 6.766e-09 ***      
                fesisESP.2013 -3.9573e+01  6.2926e+00  -6.2889 7.689e-10 ***      
                fesisJPN.2009  1.7377e+01  4.2166e+00   4.1211 4.504e-05 ***      
                fesisJPN.2016 -2.3595e+01  5.1567e+00  -4.5756 6.178e-06 ***      
                fesisUSA.2007  7.1794e+01  7.7511e+00   9.2624 < 2.2e-16 ***      
                fesisUSA.2011 -9.0417e+01  7.9901e+00 -11.3162 < 2.2e-16 ***      
                fesisUSA.2013  1.7059e+01  7.6378e+00   2.2335 0.0260148 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    1.8127  1    0.1782          
                Ljung-Box ARCH(1) 46.9225  1 7.385e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     7.74162      
                R-squared            0.98818      
                Log-lik.(n=525)  -1777.91327      

Log Count

AR 0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 09:42:44 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                  coef std.error  t-stat   p-value          
                lgdp           1.22165   0.23444  5.2110 2.784e-07 ***      
                lpop          -4.76777   0.64693 -7.3699 7.417e-13 ***      
                idAUT         -2.90112   0.55045 -5.2705 2.051e-07 ***      
                idBEL         -1.55727   0.43203 -3.6045 0.0003451 ***      
                idCAN          2.22421   0.33451  6.6492 7.956e-11 ***      
                idCHE         -4.17049   0.58672 -7.1081 4.232e-12 ***      
                idCHN         15.93699   2.51722  6.3312 5.549e-10 ***      
                idDEU          8.31987   0.86373  9.6325 < 2.2e-16 ***      
                idDNK         -5.30599   0.88485 -5.9965 3.943e-09 ***      
                idESP          4.41040   0.55505  7.9460 1.358e-14 ***      
                idFIN         -3.97137   0.80241 -4.9493 1.029e-06 ***      
                idFRA          5.48164   0.72566  7.5540 2.117e-13 ***      
                idGBR          5.35602   0.73908  7.2469 1.691e-12 ***      
                idISR         -5.19803   0.64334 -8.0797 5.199e-15 ***      
                idITA          4.83939   0.68618  7.0526 6.082e-12 ***      
                idJPN          2.27395   1.46649  1.5506 0.1216486          
                idKOR         -3.49613   1.45624 -2.4008 0.0167354 *        
                idNLD          0.35336   0.22513  1.5696 0.1171685          
                idNOR         -8.18433   1.01945 -8.0282 7.536e-15 ***      
                idRUS          4.72159   1.25565  3.7603 0.0001904 ***      
                idSWE         -4.10826   0.64327 -6.3866 3.978e-10 ***      
                idUSA         11.10714   1.59458  6.9655 1.070e-11 ***      
                time1995      46.59546  10.04404  4.6391 4.507e-06 ***      
                time1996      46.88379  10.04840  4.6658 3.982e-06 ***      
                time1997      46.82515  10.05296  4.6578 4.132e-06 ***      
                time1998      46.84804  10.05683  4.6583 4.123e-06 ***      
                time1999      47.28366  10.06385  4.6984 3.421e-06 ***      
                time2000      47.46966  10.07019  4.7139 3.181e-06 ***      
                time2001      47.58675  10.07475  4.7234 3.042e-06 ***      
                time2002      47.72286  10.07893  4.7349 2.881e-06 ***      
                time2003      47.70823  10.08293  4.7316 2.927e-06 ***      
                time2004      47.97596  10.08894  4.7553 2.617e-06 ***      
                time2005      48.10782  10.09163  4.7671 2.475e-06 ***      
                time2006      48.47954  10.09686  4.8014 2.102e-06 ***      
                time2007      48.69404  10.10331  4.8196 1.927e-06 ***      
                time2008      49.00836  10.10809  4.8484 1.679e-06 ***      
                time2009      49.32016  10.10761  4.8795 1.445e-06 ***      
                time2010      49.35280  10.11265  4.8803 1.439e-06 ***      
                time2011      49.39724  10.11686  4.8827 1.423e-06 ***      
                time2012      49.30588  10.12082  4.8717 1.500e-06 ***      
                time2013      49.06880  10.12502  4.8463 1.696e-06 ***      
                time2014      48.97306  10.12960  4.8346 1.793e-06 ***      
                time2015      48.75191  10.13410  4.8107 2.011e-06 ***      
                time2016      48.79921  10.13879  4.8131 1.988e-06 ***      
                time2017      48.97530  10.14338  4.8283 1.849e-06 ***      
                time2018      48.86766  10.14754  4.8157 1.963e-06 ***      
                time2019      48.64839  10.15030  4.7928 2.190e-06 ***      
                time2020      48.98339  10.15069  4.8256 1.873e-06 ***      
                iis64         -1.78632   0.43823 -4.0763 5.348e-05 ***      
                fesisAUS.2009 -0.60101   0.18116 -3.3176 0.0009762 ***      
                fesisBEL.2003 -0.58206   0.18519 -3.1430 0.0017746 **       
                fesisCHN.2005  0.96742   0.28020  3.4526 0.0006038 ***      
                fesisDNK.2007  1.14872   0.17083  6.7243 4.975e-11 ***      
                fesisESP.2004  0.84656   0.17965  4.7122 3.207e-06 ***      
                fesisFIN.2000 -1.16335   0.21597 -5.3866 1.122e-07 ***      
                fesisGBR.2001  0.93819   0.20049  4.6795 3.737e-06 ***      
                fesisJPN.1999  0.96255   0.23941  4.0205 6.731e-05 ***      
                fesisNOR.2019  1.30271   0.31506  4.1348 4.187e-05 ***      
                fesisRUS.2004 -1.27717   0.20936 -6.1002 2.167e-09 ***      
                fesisSWE.2003 -1.35108   0.18396 -7.3444 8.805e-13 ***      
                fesisUSA.2003  1.26002   0.18421  6.8401 2.392e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   14.1637  1 0.0001676 ***      
                Ljung-Box ARCH(1)  2.9474  1 0.0860168 .        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.41542      
                R-squared           0.92743      
                Log-lik.(n=546)  -264.59586      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 09:42:43 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                lgdp            1.145977   0.230147  4.9793 9.040e-07 ***      
                lpop           -1.210123   0.760879 -1.5904 0.1124252          
                idAUT           0.231254   0.670287  0.3450 0.7302467          
                idBEL           0.098799   0.503806  0.1961 0.8446141          
                idCAN           0.225131   0.413889  0.5439 0.5867456          
                idCHE          -0.553110   0.727574 -0.7602 0.4475182          
                idCHN           1.579526   3.101878  0.5092 0.6108451          
                idDEU           2.503790   1.135051  2.2059 0.0278858 *        
                idDNK          -1.330116   1.011878 -1.3145 0.1893321          
                idESP           1.640091   0.643781  2.5476 0.0111712 *        
                idFIN           0.399658   0.981384  0.4072 0.6840221          
                idFRA           1.418024   0.896233  1.5822 0.1142901          
                idGBR           1.263205   0.887670  1.4231 0.1553978          
                idISR          -1.292421   0.805542 -1.6044 0.1093099          
                idITA           0.672615   0.862072  0.7802 0.4356559          
                idJPN          -3.908319   1.768971 -2.2094 0.0276406 *        
                idKOR          -6.440171   1.517136 -4.2450 2.646e-05 ***      
                idNLD           1.025640   0.254954  4.0228 6.721e-05 ***      
                idNOR          -3.007941   1.142327 -2.6332 0.0087440 **       
                idRUS          -2.318119   1.593164 -1.4550 0.1463401          
                idSWE          -1.402649   0.685821 -2.0452 0.0414024 *        
                idUSA           1.816096   1.995450  0.9101 0.3632366          
                time1995      -10.760751  12.641446 -0.8512 0.3950857          
                time1996      -10.438514  12.647269 -0.8254 0.4095967          
                time1997      -10.568986  12.655721 -0.8351 0.4040863          
                time1998      -10.600198  12.661184 -0.8372 0.4029036          
                time1999      -10.178161  12.669609 -0.8034 0.4221860          
                time2000      -10.032503  12.676443 -0.7914 0.4291016          
                time2001       -9.990163  12.681953 -0.7877 0.4312508          
                time2002       -9.804477  12.685594 -0.7729 0.4399887          
                time2003      -10.012556  12.687109 -0.7892 0.4304068          
                time2004       -9.783337  12.696081 -0.7706 0.4413519          
                time2005       -9.688200  12.698012 -0.7630 0.4458725          
                time2006       -9.317130  12.703388 -0.7334 0.4636658          
                time2007       -9.069023  12.710562 -0.7135 0.4758965          
                time2008       -8.832115  12.716420 -0.6945 0.4876917          
                time2009       -8.522995  12.716163 -0.6702 0.5030355          
                time2010       -8.476893  12.720694 -0.6664 0.5054984          
                time2011       -8.419635  12.720312 -0.6619 0.5083637          
                time2012       -8.533396  12.725301 -0.6706 0.5028215          
                time2013       -8.793578  12.730585 -0.6907 0.4900747          
                time2014       -8.912487  12.736321 -0.6998 0.4844251          
                time2015       -9.156354  12.741968 -0.7186 0.4727534          
                time2016       -9.132166  12.747833 -0.7164 0.4741264          
                time2017       -8.934438  12.752720 -0.7006 0.4839126          
                time2018       -9.073984  12.756274 -0.7113 0.4772372          
                time2019       -9.254112  12.757822 -0.7254 0.4685953          
                time2020       -8.985816  12.759847 -0.7042 0.4816484          
                iis23          -0.888869   0.371985 -2.3895 0.0172718 *        
                iis34          -1.420456   0.363964 -3.9027 0.0001093 ***      
                iis39          -1.068427   0.363388 -2.9402 0.0034455 **       
                iis58           1.155395   0.365025  3.1652 0.0016523 **       
                iis59           1.040146   0.364485  2.8537 0.0045157 **       
                iis64          -1.744049   0.363786 -4.7942 2.209e-06 ***      
                iis136         -1.115191   0.381195 -2.9255 0.0036090 **       
                iis138         -1.518233   0.383054 -3.9635 8.561e-05 ***      
                iis139         -1.006771   0.385642 -2.6106 0.0093323 **       
                iis315          0.997105   0.375228  2.6573 0.0081503 **       
                iis343         -1.088089   0.384516 -2.8298 0.0048620 **       
                iis368         -0.941756   0.411440 -2.2889 0.0225360 *        
                iis373          1.041233   0.366278  2.8427 0.0046718 **       
                iis393         -0.941408   0.376168 -2.5026 0.0126734 *        
                iis519         -0.997520   0.367595 -2.7136 0.0069048 **       
                iis522         -1.103233   0.380782 -2.8973 0.0039438 **       
                fesisAUS.2000  -0.913809   0.298898 -3.0573 0.0023638 **       
                fesisAUS.2002   1.161263   0.288091  4.0309 6.502e-05 ***      
                fesisAUS.2009  -1.153692   0.189061 -6.1022 2.223e-09 ***      
                fesisCAN.2002   0.760381   0.188449  4.0350 6.395e-05 ***      
                fesisCAN.2010  -0.727163   0.170533 -4.2641 2.437e-05 ***      
                fesisCHE.2006  -0.437638   0.148019 -2.9566 0.0032701 **       
                fesisCHN.2005   0.767150   0.283657  2.7045 0.0070945 **       
                fesisDEU.1998   0.995805   0.229029  4.3479 1.693e-05 ***      
                fesisDNK.1998   0.798178   0.239694  3.3300 0.0009383 ***      
                fesisDNK.2007   1.084793   0.154775  7.0088 8.602e-12 ***      
                fesisESP.2004   0.799297   0.155865  5.1281 4.320e-07 ***      
                fesisFIN.2000  -0.880048   0.183433 -4.7977 2.173e-06 ***      
                fesisGBR.2001   1.098249   0.169937  6.4627 2.626e-10 ***      
                fesisISR.2011  -0.664700   0.202778 -3.2780 0.0011248 **       
                fesisISR.2018  -0.621997   0.251161 -2.4765 0.0136268 *        
                fesisITA.2002   0.593147   0.176516  3.3603 0.0008434 ***      
                fesisJPN.1999   1.055709   0.231882  4.5528 6.787e-06 ***      
                fesisKOR.2005   0.571730   0.169323  3.3766 0.0007962 ***      
                fesisNOR.2019   1.116717   0.265978  4.1985 3.226e-05 ***      
                fesisRUS.2004  -0.777469   0.187162 -4.1540 3.896e-05 ***      
                fesisSWE.2003  -1.131608   0.157861 -7.1684 3.044e-12 ***      
                fesisUSA.2003   1.129683   0.165630  6.8205 2.865e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   1.2798  1  0.2579        
                Ljung-Box ARCH(1) 5.6360  1  0.0176 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.34706      
                R-squared           0.95196      
                Log-lik.(n=546)  -153.93046      

AR 1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 09:44:05 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.372862  0.038225  9.7544 < 2.2e-16 ***      
                lgdp           1.114035  0.162974  6.8357 2.585e-11 ***      
                lpop          -3.261650  0.614527 -5.3076 1.727e-07 ***      
                idAUT         -1.238052  0.557022 -2.2226 0.0267233 *        
                idBEL         -0.712973  0.420737 -1.6946 0.0908273 .        
                idCAN          1.701742  0.294845  5.7716 1.439e-08 ***      
                idCHE         -2.341131  0.603583 -3.8787 0.0001202 ***      
                idCHN         10.729958  2.407890  4.4562 1.048e-05 ***      
                idDEU          5.643371  0.843496  6.6905 6.438e-11 ***      
                idDNK         -3.588850  0.835291 -4.2965 2.116e-05 ***      
                idESP          3.708390  0.506305  7.3244 1.073e-12 ***      
                idFIN         -2.616218  0.812138 -3.2214 0.0013655 **       
                idFRA          3.891075  0.676718  5.7499 1.623e-08 ***      
                idGBR          4.313392  0.675590  6.3846 4.182e-10 ***      
                idISR         -3.092229  0.651017 -4.7498 2.720e-06 ***      
                idITA          3.597022  0.627663  5.7308 1.803e-08 ***      
                idJPN         -0.277307  1.234125 -0.2247 0.8223123          
                idKOR         -4.053931  1.026906 -3.9477 9.116e-05 ***      
                idNLD          0.704836  0.208868  3.3746 0.0008015 ***      
                idNOR         -5.511600  0.968636 -5.6901 2.255e-08 ***      
                idRUS          2.517124  1.163325  2.1637 0.0309956 *        
                idSWE         -2.829314  0.585804 -4.8298 1.861e-06 ***      
                idUSA          7.146139  1.547810  4.6169 5.052e-06 ***      
                time1996      24.189648  9.667720  2.5021 0.0126896 *        
                time1997      24.016680  9.673413  2.4828 0.0133904 *        
                time1998      24.049540  9.676287  2.4854 0.0132922 *        
                time1999      24.543537  9.680790  2.5353 0.0115637 *        
                time2000      24.344266  9.689260  2.5125 0.0123268 *        
                time2001      24.500568  9.694315  2.5273 0.0118257 *        
                time2002      24.721125  9.701734  2.5481 0.0111527 *        
                time2003      24.576770  9.708005  2.5316 0.0116842 *        
                time2004      24.721636  9.709995  2.5460 0.0112195 *        
                time2005      24.852027  9.715699  2.5579 0.0108472 *        
                time2006      25.113873  9.722020  2.5832 0.0100946 *        
                time2007      25.259938  9.728532  2.5965 0.0097179 **       
                time2008      25.426887  9.735836  2.6117 0.0093025 **       
                time2009      25.585292  9.741869  2.6263 0.0089173 **       
                time2010      25.532611  9.747617  2.6194 0.0090984 **       
                time2011      25.555538  9.751492  2.6207 0.0090640 **       
                time2012      25.437998  9.755629  2.6075 0.0094145 **       
                time2013      25.232626  9.758736  2.5856 0.0100242 *        
                time2014      25.222736  9.760911  2.5841 0.0100698 *        
                time2015      25.032342  9.764154  2.5637 0.0106710 *        
                time2016      25.156941  9.766563  2.5758 0.0103092 *        
                time2017      25.310930  9.770767  2.5905 0.0098866 **       
                time2018      25.130474  9.775689  2.5707 0.0104604 *        
                time2019      24.955627  9.776991  2.5525 0.0110156 *        
                time2020      25.338715  9.777711  2.5915 0.0098583 **       
                iis7           1.135680  0.426809  2.6609 0.0080648 **       
                iis32         -1.823295  0.425951 -4.2805 2.267e-05 ***      
                iis55          1.296683  0.423162  3.0643 0.0023094 **       
                iis61         -1.853029  0.422940 -4.3813 1.461e-05 ***      
                iis132        -1.603600  0.430714 -3.7231 0.0002210 ***      
                iis234         1.178161  0.424099  2.7780 0.0056910 **       
                iis308        -1.253064  0.424665 -2.9507 0.0033312 **       
                iis329        -1.611946  0.423913 -3.8025 0.0001624 ***      
                fesisDNK.2006  0.794083  0.175900  4.5144 8.064e-06 ***      
                fesisJPN.1999  1.031341  0.261415  3.9452 9.208e-05 ***      
                fesisNOR.2019  1.089819  0.307433  3.5449 0.0004327 ***      
                fesisRUS.2003 -0.936638  0.208539 -4.4914 8.945e-06 ***      
                fesisSWE.2002 -0.889528  0.200422 -4.4383 1.135e-05 ***      
                fesisUSA.2003  0.767454  0.192249  3.9920 7.618e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   3.5506  1 0.05952 .      
                Ljung-Box ARCH(1) 6.6241  1 0.01006 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.40396      
                R-squared           0.92970      
                Log-lik.(n=525)  -238.06436      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 09:44:02 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                  coef std.error  t-stat   p-value          
                ar1            0.29992   0.03522  8.5156 2.694e-16 ***      
                lgdp           1.03784   0.15418  6.7314 5.296e-11 ***      
                lpop          -3.38085   0.58697 -5.7598 1.590e-08 ***      
                idAUT         -1.45631   0.50645 -2.8755 0.0042305 **       
                idBEL         -0.85474   0.38281 -2.2328 0.0260676 *        
                idCAN          1.82775   0.33450  5.4641 7.831e-08 ***      
                idCHE         -2.44407   0.55132 -4.4331 1.176e-05 ***      
                idCHN         11.68610   2.33314  5.0088 7.966e-07 ***      
                idDEU          6.08415   0.84472  7.2026 2.604e-12 ***      
                idDNK         -4.20991   0.80569 -5.2252 2.699e-07 ***      
                idESP          3.29498   0.53929  6.1099 2.208e-09 ***      
                idFIN         -2.42993   0.73328 -3.3138 0.0009970 ***      
                idFRA          4.67265   0.73038  6.3976 4.069e-10 ***      
                idGBR          3.85068   0.69879  5.5105 6.125e-08 ***      
                idISR         -3.33627   0.59425 -5.6143 3.514e-08 ***      
                idITA          3.77495   0.64403  5.8615 9.048e-09 ***      
                idJPN          0.47324   1.19511  0.3960 0.6923140          
                idKOR         -3.30230   0.99273 -3.3265 0.0009538 ***      
                idNLD          0.71891   0.20842  3.4494 0.0006164 ***      
                idNOR         -5.62235   0.90138 -6.2375 1.051e-09 ***      
                idRUS          2.89294   1.14160  2.5341 0.0116216 *        
                idSWE         -2.79420   0.54080 -5.1668 3.628e-07 ***      
                idUSA          7.90476   1.51277  5.2254 2.697e-07 ***      
                time1996      28.37621   9.14088  3.1043 0.0020311 **       
                time1997      28.22996   9.15105  3.0849 0.0021655 **       
                time1998      28.15337   9.14773  3.0776 0.0022178 **       
                time1999      28.64782   9.15326  3.1298 0.0018665 **       
                time2000      28.57308   9.16164  3.1188 0.0019362 **       
                time2001      28.71118   9.16703  3.1320 0.0018528 **       
                time2002      28.97062   9.17189  3.1586 0.0016951 **       
                time2003      28.76222   9.17934  3.1334 0.0018445 **       
                time2004      28.89680   9.17904  3.1481 0.0017558 **       
                time2005      29.05559   9.18313  3.1640 0.0016647 **       
                time2006      29.34629   9.19050  3.1931 0.0015092 **       
                time2007      29.50331   9.19493  3.2086 0.0014318 **       
                time2008      29.74386   9.20212  3.2323 0.0013210 **       
                time2009      29.87785   9.20768  3.2449 0.0012652 **       
                time2010      29.87877   9.21311  3.2431 0.0012731 **       
                time2011      29.87245   9.21670  3.2411 0.0012817 **       
                time2012      29.76001   9.22062  3.2275 0.0013425 **       
                time2013      29.54859   9.22357  3.2036 0.0014565 **       
                time2014      29.52265   9.22562  3.2001 0.0014741 **       
                time2015      29.36612   9.22925  3.1819 0.0015677 **       
                time2016      29.43741   9.23094  3.1890 0.0015304 **       
                time2017      29.63932   9.23381  3.2099 0.0014259 **       
                time2018      29.43218   9.23952  3.1855 0.0015487 **       
                time2019      29.33563   9.23973  3.1749 0.0016047 **       
                time2020      29.61975   9.24144  3.2051 0.0014491 **       
                iis22         -0.88474   0.36586 -2.4183 0.0160028 *        
                iis32         -1.78753   0.36394 -4.9116 1.279e-06 ***      
                iis55          1.20536   0.36242  3.3258 0.0009559 ***      
                iis61         -1.88474   0.36241 -5.2006 3.059e-07 ***      
                iis74         -0.88960   0.36423 -2.4424 0.0149840 *        
                iis111        -1.16160   0.36238 -3.2055 0.0014472 **       
                iis113        -0.93780   0.36112 -2.5969 0.0097243 **       
                iis127        -0.77812   0.38371 -2.0279 0.0431762 *        
                iis130        -1.24841   0.37697 -3.3117 0.0010043 **       
                iis132        -1.89416   0.37239 -5.0864 5.425e-07 ***      
                iis133        -1.02901   0.37393 -2.7519 0.0061716 **       
                iis234         1.29877   0.36409  3.5672 0.0004008 ***      
                iis253        -0.89826   0.36525 -2.4593 0.0143069 *        
                iis302         0.78823   0.37561  2.0986 0.0364300 *        
                iis308        -1.12238   0.36472 -3.0774 0.0022195 **       
                iis311         0.87686   0.36301  2.4155 0.0161236 *        
                iis329        -1.54415   0.36293 -4.2546 2.563e-05 ***      
                iis377        -1.14593   0.36512 -3.1385 0.0018130 **       
                iis409        -0.80644   0.36157 -2.2304 0.0262307 *        
                iis453         0.84600   0.38331  2.2071 0.0278278 *        
                iis470        -0.82146   0.36388 -2.2575 0.0244698 *        
                iis490        -0.73198   0.36392 -2.0114 0.0449001 *        
                iis499        -0.89001   0.36469 -2.4405 0.0150644 *        
                iis501        -1.09914   0.38274 -2.8718 0.0042805 **       
                fesisAUS.2002  0.82012   0.25190  3.2557 0.0012192 **       
                fesisAUS.2005 -0.81450   0.22888 -3.5586 0.0004137 ***      
                fesisDNK.1998  1.76021   0.43441  4.0520 6.011e-05 ***      
                fesisDNK.1999 -1.13554   0.38099 -2.9805 0.0030384 **       
                fesisDNK.2006  0.87028   0.16620  5.2363 2.551e-07 ***      
                fesisESP.1999  1.04737   0.41008  2.5541 0.0109853 *        
                fesisESP.2000 -1.20471   0.40956 -2.9415 0.0034399 **       
                fesisESP.2003  0.93367   0.22434  4.1618 3.804e-05 ***      
                fesisFIN.2001 -0.65691   0.18604 -3.5311 0.0004578 ***      
                fesisFRA.1998 -0.55202   0.26449 -2.0871 0.0374541 *        
                fesisGBR.2000  0.86140   0.19769  4.3574 1.642e-05 ***      
                fesisJPN.1999  1.11296   0.22615  4.9213 1.220e-06 ***      
                fesisNOR.2019  1.10354   0.26349  4.1881 3.404e-05 ***      
                fesisRUS.2003 -0.74268   0.19106 -3.8872 0.0001172 ***      
                fesisSWE.2002 -0.83995   0.17593 -4.7744 2.464e-06 ***      
                fesisUSA.2003  0.74466   0.17481  4.2599 2.506e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   1.47108  1  0.2252      
                Ljung-Box ARCH(1) 0.90499  1  0.3414      
                                                 
                SE of regression    0.34482      
                R-squared           0.95166      
                Log-lik.(n=525)  -141.95618      

without IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 09:45:25 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.8030e-14  8.5394e-15   3.2824 0.0011034 **       
                pop            1.0461e-06  9.3548e-08  11.1825 < 2.2e-16 ***      
                idAUT          5.1707e+00  5.5062e+00   0.9391 0.3481667          
                idBEL          1.6961e+00  5.4606e+00   0.3106 0.7562337          
                idCAN         -1.3828e+01  5.4832e+00  -2.5219 0.0119909 *        
                idCHE          4.1127e+00  5.5193e+00   0.7452 0.4565413          
                idCHN         -1.2595e+03  1.1304e+02 -11.1420 < 2.2e-16 ***      
                idDEU         -4.2460e+01  1.0189e+01  -4.1674 3.649e-05 ***      
                idDNK          2.8587e+01  6.3997e+00   4.4669 9.885e-06 ***      
                idESP         -5.0645e+00  5.7764e+00  -0.8768 0.3810469          
                idFIN          5.0787e+00  5.5756e+00   0.9109 0.3628085          
                idFRA         -4.0360e+01  6.6781e+00  -6.0437 3.006e-09 ***      
                idGBR         -1.5848e+01  6.5756e+00  -2.4102 0.0163150 *        
                idISR          3.7856e+00  5.5279e+00   0.6848 0.4937916          
                idITA         -4.0551e+01  6.3992e+00  -6.3369 5.362e-10 ***      
                idJPN         -9.8331e+01  1.2305e+01  -7.9911 9.833e-15 ***      
                idKOR         -4.8709e+01  1.2219e+01  -3.9864 7.741e-05 ***      
                idNLD          7.7076e+00  5.3891e+00   1.4302 0.1532937          
                idNOR          1.0566e+01  5.5879e+00   1.8909 0.0592317 .        
                idRUS         -1.4173e+02  1.2716e+01 -11.1457 < 2.2e-16 ***      
                idSWE          5.2189e+00  5.4854e+00   0.9514 0.3418612          
                idUSA         -2.4758e+02  2.5440e+01  -9.7319 < 2.2e-16 ***      
                time1995      -2.0039e+01  5.7031e+00  -3.5137 0.0004833 ***      
                time1996      -2.0050e+01  5.7263e+00  -3.5014 0.0005056 ***      
                time1997      -2.1031e+01  5.7504e+00  -3.6573 0.0002828 ***      
                time1998      -2.0396e+01  5.7752e+00  -3.5316 0.0004525 ***      
                time1999      -1.6018e+01  5.7355e+00  -2.7927 0.0054333 **       
                time2000      -1.8118e+01  5.7531e+00  -3.1493 0.0017377 **       
                time2001      -1.5378e+01  5.7736e+00  -2.6635 0.0079900 **       
                time2002      -1.4955e+01  5.7937e+00  -2.5812 0.0101389 *        
                time2003      -1.1940e+01  5.6912e+00  -2.0980 0.0364201 *        
                time2004      -1.1645e+01  5.7083e+00  -2.0401 0.0418815 *        
                time2005      -1.0565e+01  5.7258e+00  -1.8452 0.0656250 .        
                time2006      -2.7498e+00  5.7441e+00  -0.4787 0.6323586          
                time2007      -1.1113e+01  5.7945e+00  -1.9178 0.0557176 .        
                time2008       4.6275e+00  5.9761e+00   0.7743 0.4391081          
                time2009       1.2047e+01  5.9908e+00   2.0109 0.0448841 *        
                time2010       1.5613e+01  6.0349e+00   2.5872 0.0099657 **       
                time2011       1.9481e+01  6.0384e+00   3.2262 0.0013391 **       
                time2012       6.0558e+00  6.0608e+00   0.9992 0.3182088          
                time2013      -8.5602e-01  6.0769e+00  -0.1409 0.8880343          
                time2014      -3.7636e+00  6.0793e+00  -0.6191 0.5361565          
                time2015      -7.7873e+00  6.1024e+00  -1.2761 0.2025336          
                time2016      -5.6969e+00  6.1261e+00  -0.9299 0.3528641          
                time2017      -1.2278e+00  6.1503e+00  -0.1996 0.8418552          
                time2018      -4.8710e+00  6.1707e+00  -0.7894 0.4302799          
                time2019      -1.2889e+01  6.1867e+00  -2.0834 0.0377404 *        
                time2020      -8.2354e+00  6.1990e+00  -1.3285 0.1846361          
                fesisAUS.2008 -1.7944e+01  6.3319e+00  -2.8339 0.0047902 **       
                fesisCHN.1999 -4.9493e+01  1.2006e+01  -4.1225 4.409e-05 ***      
                fesisCHN.2003 -3.5248e+01  1.1768e+01  -2.9952 0.0028830 **       
                fesisDEU.2000  6.1860e+01  9.3886e+00   6.5888 1.158e-10 ***      
                fesisDEU.2007  9.6014e+01  1.1077e+01   8.6675 < 2.2e-16 ***      
                fesisDEU.2010  1.1834e+02  1.3098e+01   9.0351 < 2.2e-16 ***      
                fesisDEU.2013 -1.0346e+02  1.0856e+01  -9.5298 < 2.2e-16 ***      
                fesisDNK.2007  1.8098e+02  6.3611e+00  28.4508 < 2.2e-16 ***      
                fesisJPN.2010  6.1448e+01  6.4086e+00   9.5883 < 2.2e-16 ***      
                fesisUSA.2007  1.7417e+02  1.2390e+01  14.0575 < 2.2e-16 ***      
                fesisUSA.2009  1.2113e+02  1.6031e+01   7.5561 2.086e-13 ***      
                fesisUSA.2011 -1.0692e+02  1.4634e+01  -7.3064 1.136e-12 ***      
                fesisUSA.2014 -1.0383e+02  1.1089e+01  -9.3638 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   117.334  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1)  63.417  1 1.665e-15 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    15.6347      
                R-squared            0.9477      
                Log-lik.(n=546)  -2245.4627      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 09:45:24 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            1.2373e-14  6.8305e-15   1.8114 0.0707138 .        
                pop            1.0365e-06  1.3507e-07   7.6739 9.752e-14 ***      
                idAUT          9.7580e+00  5.0633e+00   1.9272 0.0545586 .        
                idBEL          8.5909e+00  5.0961e+00   1.6858 0.0925039 .        
                idCAN         -1.0266e+01  4.9153e+00  -2.0886 0.0372847 *        
                idCHE          1.0394e+01  5.0974e+00   2.0391 0.0420045 *        
                idCHN         -1.2480e+03  1.6294e+02  -7.6590 1.081e-13 ***      
                idDEU         -4.2055e+01  1.0727e+01  -3.9205 0.0001015 ***      
                idDNK          2.9212e+01  5.1831e+00   5.6360 3.008e-08 ***      
                idESP         -1.1216e+01  5.1992e+00  -2.1573 0.0314867 *        
                idFIN          1.2106e+01  5.1908e+00   2.3321 0.0201157 *        
                idFRA         -4.6308e+01  7.0955e+00  -6.5264 1.751e-10 ***      
                idGBR         -2.1819e+01  6.8936e+00  -3.1651 0.0016511 **       
                idISR          1.0967e+01  5.0479e+00   2.1725 0.0303182 *        
                idITA         -4.6554e+01  6.5397e+00  -7.1187 4.114e-12 ***      
                idJPN         -1.0681e+02  1.5976e+01  -6.6855 6.557e-11 ***      
                idKOR         -3.4746e+01  1.0126e+01  -3.4313 0.0006539 ***      
                idNLD          1.2851e+00  4.2621e+00   0.3015 0.7631454          
                idNOR          1.4132e+01  5.2249e+00   2.7047 0.0070847 **       
                idRUS         -1.3456e+02  1.7827e+01  -7.5483 2.317e-13 ***      
                idSWE          1.2092e+01  5.0309e+00   2.4035 0.0166271 *        
                idUSA         -2.5516e+02  3.5477e+01  -7.1923 2.536e-12 ***      
                time1995      -1.9695e+01  4.8132e+00  -4.0920 5.035e-05 ***      
                time1996      -1.9647e+01  4.8694e+00  -4.0349 6.378e-05 ***      
                time1997      -2.0580e+01  4.9272e+00  -4.1769 3.524e-05 ***      
                time1998      -1.9972e+01  4.9843e+00  -4.0070 7.150e-05 ***      
                time1999      -1.5557e+01  4.8941e+00  -3.1786 0.0015777 **       
                time2000      -1.7658e+01  4.9429e+00  -3.5724 0.0003902 ***      
                time2001      -1.4874e+01  4.9913e+00  -2.9801 0.0030317 **       
                time2002      -1.5784e+01  5.0408e+00  -3.1312 0.0018499 **       
                time2003      -1.2920e+01  4.9280e+00  -2.6218 0.0090318 **       
                time2004      -1.4669e+01  4.9255e+00  -2.9782 0.0030500 **       
                time2005      -1.3535e+01  4.9686e+00  -2.7240 0.0066896 **       
                time2006      -4.5515e+00  5.0304e+00  -0.9048 0.3660430          
                time2007      -1.9038e+00  5.3147e+00  -0.3582 0.7203461          
                time2008       1.5782e+01  5.5119e+00   2.8632 0.0043815 **       
                time2009       2.4192e+01  5.5639e+00   4.3481 1.686e-05 ***      
                time2010       2.3537e+01  5.6528e+00   4.1637 3.726e-05 ***      
                time2011       2.8590e+01  5.4430e+00   5.2527 2.279e-07 ***      
                time2012       2.0246e+01  5.4853e+00   3.6911 0.0002496 ***      
                time2013       1.3573e+01  5.5345e+00   2.4524 0.0145558 *        
                time2014       1.0788e+01  5.5531e+00   1.9427 0.0526552 .        
                time2015       6.8129e+00  5.6037e+00   1.2158 0.2246760          
                time2016       6.3828e+00  5.6639e+00   1.1269 0.2603508          
                time2017       1.0911e+01  5.7161e+00   1.9088 0.0569003 .        
                time2018       1.0566e+01  5.7811e+00   1.8278 0.0682204 .        
                time2019       2.5865e+00  5.8153e+00   0.4448 0.6566831          
                time2020       7.2146e+00  5.8431e+00   1.2347 0.2175522          
                fesisAUS.2008 -3.0667e+01  5.0877e+00  -6.0276 3.371e-09 ***      
                fesisAUT.2007 -2.0600e+01  5.1457e+00  -4.0034 7.256e-05 ***      
                fesisBEL.2006 -2.3185e+01  5.1597e+00  -4.4935 8.837e-06 ***      
                fesisCAN.2009 -2.1247e+01  5.0856e+00  -4.1779 3.509e-05 ***      
                fesisCHE.2007 -2.3749e+01  5.1403e+00  -4.6202 4.961e-06 ***      
                fesisCHN.1999 -4.8745e+01  1.0452e+01  -4.6635 4.060e-06 ***      
                fesisCHN.2003 -3.1238e+01  9.7612e+00  -3.2002 0.0014665 **       
                fesisCHN.2011 -2.1367e+01  1.0670e+01  -2.0026 0.0457990 *        
                fesisDEU.2000  6.3518e+01  7.2607e+00   8.7482 < 2.2e-16 ***      
                fesisDEU.2007  8.3943e+01  8.6605e+00   9.6926 < 2.2e-16 ***      
                fesisDEU.2010  1.1876e+02  1.0138e+01  11.7146 < 2.2e-16 ***      
                fesisDEU.2013 -1.0730e+02  8.3956e+00 -12.7806 < 2.2e-16 ***      
                fesisDNK.2007  1.4091e+02  8.1266e+00  17.3392 < 2.2e-16 ***      
                fesisDNK.2010  9.6155e+01  1.1326e+01   8.4897 2.748e-16 ***      
                fesisDNK.2012 -1.0579e+02  1.0727e+01  -9.8619 < 2.2e-16 ***      
                fesisDNK.2016  5.3976e+01  8.3170e+00   6.4899 2.188e-10 ***      
                fesisFIN.2007 -2.5188e+01  5.1495e+00  -4.8913 1.379e-06 ***      
                fesisISR.2008 -2.7372e+01  5.0997e+00  -5.3675 1.258e-07 ***      
                fesisJPN.2002  2.9344e+01  6.4439e+00   4.5537 6.727e-06 ***      
                fesisJPN.2010  5.5523e+01  6.3015e+00   8.8112 < 2.2e-16 ***      
                fesisJPN.2018 -6.8177e+01  8.4018e+00  -8.1146 4.315e-15 ***      
                fesisNOR.2007 -1.8694e+01  5.1442e+00  -3.6339 0.0003100 ***      
                fesisRUS.2007 -2.0958e+01  5.1798e+00  -4.0461 6.089e-05 ***      
                fesisSWE.2007 -2.4730e+01  5.1408e+00  -4.8105 2.032e-06 ***      
                fesisUSA.2004  4.4191e+01  8.5548e+00   5.1656 3.550e-07 ***      
                fesisUSA.2007  1.3053e+02  1.1378e+01  11.4720 < 2.2e-16 ***      
                fesisUSA.2009  1.2133e+02  1.2402e+01   9.7827 < 2.2e-16 ***      
                fesisUSA.2011 -1.0940e+02  1.1357e+01  -9.6323 < 2.2e-16 ***      
                fesisUSA.2014 -1.0537e+02  8.6216e+00 -12.2217 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   30.370  1 3.570e-08 ***      
                Ljung-Box ARCH(1) 32.044  1 1.507e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    12.07726      
                R-squared            0.96982      
                Log-lik.(n=546)  -2096.50333      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 09:45:19 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error  t-stat   p-value          
                ar1            8.2679e-01  2.4241e-02 34.1074 < 2.2e-16 ***      
                gdp            1.6496e-15  5.9964e-15  0.2751  0.783366          
                pop            1.8644e-07  4.0034e-08  4.6572 4.206e-06 ***      
                idAUT          2.8265e+00  2.9654e+00  0.9532  0.341015          
                idBEL          2.0400e+00  2.9488e+00  0.6918  0.489415          
                idCAN         -7.7753e-01  2.9522e+00 -0.2634  0.792385          
                idCHE          2.3724e+00  2.9678e+00  0.7994  0.424496          
                idCHN         -2.3038e+02  5.1911e+01 -4.4380 1.139e-05 ***      
                idDEU          6.4383e+00  4.6630e+00  1.3807  0.168046          
                idDNK          8.1935e+00  3.9886e+00  2.0542  0.040520 *        
                idESP          1.8888e+00  3.0618e+00  0.6169  0.537619          
                idFIN          2.4025e+00  2.9849e+00  0.8049  0.421317          
                idFRA         -4.5851e+00  3.3389e+00 -1.3732  0.170358          
                idGBR         -6.7183e-03  3.3079e+00 -0.0020  0.998380          
                idISR          2.1878e+00  2.9697e+00  0.7367  0.461674          
                idITA         -5.2970e+00  3.2522e+00 -1.6287  0.104055          
                idJPN         -4.0987e+00  5.9135e+00 -0.6931  0.488590          
                idKOR         -1.7479e+00  8.3776e+00 -0.2086  0.834821          
                idNLD          4.0718e+00  2.9424e+00  1.3839  0.167075          
                idNOR          4.4125e+00  2.9959e+00  1.4728  0.141484          
                idRUS         -2.3379e+01  5.7663e+00 -4.0544 5.906e-05 ***      
                idSWE          2.5305e+00  2.9607e+00  0.8547  0.393172          
                idUSA         -3.5244e+01  1.1099e+01 -3.1753  0.001598 **       
                time1996      -5.8721e+00  3.1207e+00 -1.8817  0.060515 .        
                time1997      -6.8653e+00  3.1236e+00 -2.1979  0.028456 *        
                time1998      -5.5789e+00  3.1314e+00 -1.7816  0.075480 .        
                time1999      -3.9724e+00  3.1319e+00 -1.2684  0.205316          
                time2000      -4.8125e+00  3.1274e+00 -1.5388  0.124537          
                time2001      -2.8444e+00  3.1280e+00 -0.9093  0.363644          
                time2002      -4.6719e+00  3.1238e+00 -1.4956  0.135451          
                time2003      -3.7413e+00  3.1266e+00 -1.1966  0.232078          
                time2004      -4.5221e+00  3.1277e+00 -1.4458  0.148915          
                time2005      -3.6919e+00  3.1315e+00 -1.1790  0.239029          
                time2006      -1.5351e+00  3.1719e+00 -0.4840  0.628646          
                time2007       2.6147e-01  3.1774e+00  0.0823  0.934452          
                time2008       4.2568e+00  3.1564e+00  1.3487  0.178114          
                time2009       5.0257e+00  3.1723e+00  1.5843  0.113824          
                time2010       5.1292e+00  3.2408e+00  1.5827  0.114173          
                time2011       2.2047e+00  3.2349e+00  0.6815  0.495878          
                time2012      -5.9927e+00  3.2380e+00 -1.8508  0.064849 .        
                time2013      -6.6320e+00  3.2697e+00 -2.0283  0.043107 *        
                time2014      -7.5884e+00  3.2218e+00 -2.3553  0.018929 *        
                time2015      -8.3006e+00  3.2004e+00 -2.5937  0.009800 **       
                time2016      -1.8488e+00  3.2218e+00 -0.5738  0.566362          
                time2017       9.0197e-01  3.2289e+00  0.2793  0.780107          
                time2018      -4.8420e+00  3.2337e+00 -1.4974  0.134986          
                time2019      -4.3747e+00  3.2890e+00 -1.3301  0.184151          
                time2020       3.0033e+00  3.3007e+00  0.9099  0.363350          
                fesisDEU.2006  3.9313e+01  6.5486e+00  6.0033 3.937e-09 ***      
                fesisDEU.2010  8.4580e+01  1.1939e+01  7.0846 5.292e-12 ***      
                fesisDEU.2011 -1.0053e+02  1.3228e+01 -7.5996 1.692e-13 ***      
                fesisDEU.2013 -9.2592e+01  1.2981e+01 -7.1328 3.865e-12 ***      
                fesisDEU.2014  1.0129e+02  1.1800e+01  8.5833 < 2.2e-16 ***      
                fesisDEU.2019 -6.4026e+01  8.8951e+00 -7.1979 2.521e-12 ***      
                fesisDNK.2006  6.1272e+01  6.2788e+00  9.7585 < 2.2e-16 ***      
                fesisDNK.2012 -8.5699e+01  8.9274e+00 -9.5996 < 2.2e-16 ***      
                fesisDNK.2014  6.8832e+01  9.0050e+00  7.6438 1.248e-13 ***      
                fesisDNK.2019 -5.3308e+01  1.1733e+01 -4.5436 7.084e-06 ***      
                fesisDNK.2020  7.9200e+01  1.4985e+01  5.2854 1.945e-07 ***      
                fesisJPN.2016 -2.1594e+01  5.3587e+00 -4.0296 6.540e-05 ***      
                fesisUSA.2007  1.0275e+02  7.7264e+00 13.2982 < 2.2e-16 ***      
                fesisUSA.2010 -5.7900e+01  1.2881e+01 -4.4950 8.825e-06 ***      
                fesisUSA.2011 -7.6434e+01  1.3007e+01 -5.8766 8.071e-09 ***      
                fesisUSA.2013  9.1202e+01  1.3156e+01  6.9322 1.415e-11 ***      
                fesisUSA.2014 -1.0959e+02  1.4998e+01 -7.3070 1.224e-12 ***      
                fesisUSA.2015  6.6166e+01  1.2439e+01  5.3192 1.634e-07 ***      
                fesisUSA.2018 -3.5544e+01  8.6467e+00 -4.1107 4.676e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   11.274  1 0.0007859 ***      
                Ljung-Box ARCH(1) 37.875  1 7.541e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    10.31631      
                R-squared            0.97824      
                Log-lik.(n=525)  -1936.64905      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 09:45:17 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error  t-stat   p-value          
                ar1            7.5336e-01  2.5179e-02 29.9198 < 2.2e-16 ***      
                gdp            4.8658e-15  5.0615e-15  0.9613 0.3368996          
                pop            2.3340e-07  3.4898e-08  6.6881 6.801e-11 ***      
                idAUT          3.4582e+00  2.4808e+00  1.3939 0.1640305          
                idBEL          2.5035e+00  2.4653e+00  1.0155 0.3104319          
                idCAN         -7.6515e-01  2.4663e+00 -0.3102 0.7565190          
                idCHE          2.9269e+00  2.4821e+00  1.1792 0.2389453          
                idCHN         -2.8890e+02  4.5119e+01 -6.4031 3.874e-10 ***      
                idDEU          7.4014e+00  3.9064e+00  1.8947 0.0587791 .        
                idDNK          9.5757e+00  3.3498e+00  2.8586 0.0044553 **       
                idESP          7.1987e-01  2.9397e+00  0.2449 0.8066661          
                idFIN          2.9639e+00  2.4965e+00  1.1872 0.2357733          
                idFRA         -5.6746e+00  2.7998e+00 -2.0268 0.0432755 *        
                idGBR          6.9681e-01  2.7670e+00  0.2518 0.8012932          
                idISR          2.7140e+00  2.4833e+00  1.0929 0.2750305          
                idITA         -6.5039e+00  2.7294e+00 -2.3829 0.0175963 *        
                idJPN         -1.6430e+01  5.3557e+00 -3.0678 0.0022881 **       
                idKOR         -5.4258e+00  7.0521e+00 -0.7694 0.4420655          
                idNLD          5.0940e+00  2.4669e+00  2.0649 0.0395102 *        
                idNOR          5.2864e+00  2.5095e+00  2.1066 0.0357158 *        
                idRUS         -2.9516e+01  4.9899e+00 -5.9151 6.619e-09 ***      
                idSWE          3.2160e+00  2.4775e+00  1.2981 0.1949285          
                idUSA         -4.6020e+01  9.5479e+00 -4.8199 1.974e-06 ***      
                time1996      -6.7905e+00  2.6194e+00 -2.5923 0.0098462 **       
                time1997      -7.7598e+00  2.6213e+00 -2.9603 0.0032381 **       
                time1998      -6.5058e+00  2.6285e+00 -2.4751 0.0136911 *        
                time1999      -4.8442e+00  2.6279e+00 -1.8434 0.0659366 .        
                time2000      -5.5177e+00  2.6213e+00 -2.1050 0.0358530 *        
                time2001      -3.4632e+00  2.6205e+00 -1.3216 0.1869760          
                time2002      -5.0750e+00  2.6143e+00 -1.9412 0.0528592 .        
                time2003      -4.0921e+00  2.6161e+00 -1.5642 0.1184804          
                time2004      -4.7624e+00  2.6160e+00 -1.8205 0.0693550 .        
                time2005      -3.8948e+00  2.6188e+00 -1.4872 0.1376589          
                time2006      -2.0369e+00  2.6545e+00 -0.7674 0.4432780          
                time2007       6.4726e-01  2.6592e+00  0.2434 0.8078031          
                time2008       5.6267e+00  2.6460e+00  2.1265 0.0340126 *        
                time2009       3.7898e+00  2.6781e+00  1.4151 0.1577431          
                time2010       3.0475e+00  2.7403e+00  1.1121 0.2666869          
                time2011       3.3516e-01  2.7570e+00  0.1216 0.9032969          
                time2012      -6.8254e+00  2.7441e+00 -2.4873 0.0132368 *        
                time2013      -6.8183e+00  2.7393e+00 -2.4890 0.0131730 *        
                time2014      -6.6571e+00  2.7151e+00 -2.4518 0.0145965 *        
                time2015      -6.6391e+00  2.7040e+00 -2.4553 0.0144584 *        
                time2016      -2.3751e+00  2.7350e+00 -0.8684 0.3856389          
                time2017       4.5905e-02  2.7585e+00  0.0166 0.9867301          
                time2018      -6.4612e+00  2.7939e+00 -2.3126 0.0212016 *        
                time2019      -5.1813e+00  2.7630e+00 -1.8752 0.0614175 .        
                time2020       1.7795e+00  2.7775e+00  0.6407 0.5220643          
                fesisDEU.2006  4.5093e+01  5.5858e+00  8.0728 6.480e-15 ***      
                fesisDEU.2010  9.2984e+01  1.0074e+01  9.2304 < 2.2e-16 ***      
                fesisDEU.2011 -7.4073e+01  1.2808e+01 -5.7833 1.381e-08 ***      
                fesisDEU.2012 -3.7492e+01  1.2501e+01 -2.9990 0.0028604 **       
                fesisDEU.2013 -7.7717e+01  1.2533e+01 -6.2009 1.283e-09 ***      
                fesisDEU.2014  7.2643e+01  1.1148e+01  6.5164 1.953e-10 ***      
                fesisDEU.2016  5.5240e+01  1.0824e+01  5.1033 4.953e-07 ***      
                fesisDEU.2017 -5.0229e+01  1.2575e+01 -3.9944 7.588e-05 ***      
                fesisDEU.2018  4.1557e+01  1.2516e+01  3.3202 0.0009735 ***      
                fesisDEU.2019 -8.6614e+01  1.0845e+01 -7.9867 1.195e-14 ***      
                fesisDNK.2006  6.3698e+01  5.6347e+00 11.3046 < 2.2e-16 ***      
                fesisDNK.2010  4.7507e+01  1.0270e+01  4.6257 4.901e-06 ***      
                fesisDNK.2011 -4.5753e+01  1.2626e+01 -3.6237 0.0003240 ***      
                fesisDNK.2012 -7.1748e+01  1.0862e+01 -6.6057 1.132e-10 ***      
                fesisDNK.2014  5.4869e+01  7.8921e+00  6.9523 1.287e-11 ***      
                fesisDNK.2018  3.8941e+01  9.9454e+00  3.9154 0.0001044 ***      
                fesisDNK.2019 -7.8687e+01  1.2557e+01 -6.2665 8.731e-10 ***      
                fesisDNK.2020  7.6104e+01  1.2534e+01  6.0720 2.710e-09 ***      
                fesisESP.2011  3.7391e+01  6.7133e+00  5.5697 4.422e-08 ***      
                fesisESP.2013 -4.0146e+01  7.0110e+00 -5.7261 1.893e-08 ***      
                fesisJPN.2009  2.7811e+01  4.5376e+00  6.1290 1.951e-09 ***      
                fesisJPN.2016 -3.6762e+01  5.2064e+00 -7.0609 6.399e-12 ***      
                fesisUSA.2007  9.6404e+01  7.3215e+00 13.1672 < 2.2e-16 ***      
                fesisUSA.2009  5.0455e+01  1.1115e+01  4.5395 7.267e-06 ***      
                fesisUSA.2010 -7.5752e+01  1.2803e+01 -5.9165 6.568e-09 ***      
                fesisUSA.2011 -7.9830e+01  1.0899e+01 -7.3247 1.133e-12 ***      
                fesisUSA.2013  8.2504e+01  1.1102e+01  7.4313 5.553e-13 ***      
                fesisUSA.2014 -1.0832e+02  1.2542e+01 -8.6363 < 2.2e-16 ***      
                fesisUSA.2015  3.9123e+01  1.1064e+01  3.5360 0.0004489 ***      
                fesisUSA.2017  6.0683e+01  1.0844e+01  5.5960 3.839e-08 ***      
                fesisUSA.2018 -9.2679e+01  1.2585e+01 -7.3642 8.707e-13 ***      
                fesisUSA.2019  2.5704e+01  1.0983e+01  2.3404 0.0197047 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.3326  1 0.1266878          
                Ljung-Box ARCH(1) 11.6700  1 0.0006351 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.61792      
                R-squared            0.98525      
                Log-lik.(n=525)  -1835.71063      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 09:45:26 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                  coef std.error  t-stat   p-value          
                lgdp           1.22649   0.23452  5.2298 2.531e-07 ***      
                lpop          -4.77908   0.64712 -7.3852 6.709e-13 ***      
                idAUT         -2.90163   0.55051 -5.2708 2.050e-07 ***      
                idBEL         -1.55645   0.43209 -3.6022 0.0003482 ***      
                idCAN          2.23109   0.33463  6.6674 7.119e-11 ***      
                idCHE         -4.17489   0.58681 -7.1145 4.067e-12 ***      
                idCHN         15.97103   2.51779  6.3433 5.169e-10 ***      
                idDEU          8.33465   0.86397  9.6469 < 2.2e-16 ***      
                idDNK         -5.32306   0.88514 -6.0138 3.575e-09 ***      
                idESP          4.42100   0.55523  7.9625 1.212e-14 ***      
                idFIN         -3.97502   0.80251 -4.9532 1.010e-06 ***      
                idFRA          5.49511   0.72589  7.5702 1.900e-13 ***      
                idGBR          5.36921   0.73930  7.2625 1.528e-12 ***      
                idISR         -5.20525   0.64347 -8.0894 4.867e-15 ***      
                idITA          4.85279   0.68641  7.0698 5.452e-12 ***      
                idJPN          2.26744   1.46669  1.5460 0.1227677          
                idKOR         -3.51677   1.45659 -2.4144 0.0161314 *        
                idNLD          0.35712   0.22519  1.5858 0.1134322          
                idNOR         -8.20193   1.01975 -8.0431 6.795e-15 ***      
                idRUS          4.72712   1.25581  3.7642 0.0001876 ***      
                idSWE         -4.11981   0.64346 -6.4026 3.618e-10 ***      
                idUSA         11.12729   1.59492  6.9767 9.982e-12 ***      
                time1995      46.64921  10.04542  4.6438 4.412e-06 ***      
                time1996      46.93747  10.04979  4.6705 3.898e-06 ***      
                time1997      46.87872  10.05434  4.6625 4.045e-06 ***      
                time1998      46.90154  10.05821  4.6630 4.036e-06 ***      
                time1999      47.33698  10.06523  4.7030 3.349e-06 ***      
                time2000      47.52278  10.07157  4.7185 3.114e-06 ***      
                time2001      47.63978  10.07613  4.7280 2.978e-06 ***      
                time2002      47.77586  10.08031  4.7395 2.821e-06 ***      
                time2003      47.77105  10.08437  4.7371 2.853e-06 ***      
                time2004      48.03850  10.09038  4.7608 2.551e-06 ***      
                time2005      48.17029  10.09308  4.7726 2.412e-06 ***      
                time2006      48.53192  10.09824  4.8060 2.058e-06 ***      
                time2007      48.74387  10.10468  4.8239 1.889e-06 ***      
                time2008      49.05820  10.10946  4.8527 1.645e-06 ***      
                time2009      49.36997  10.10898  4.8838 1.416e-06 ***      
                time2010      49.40252  10.11401  4.8846 1.411e-06 ***      
                time2011      49.44691  10.11823  4.8869 1.395e-06 ***      
                time2012      49.35556  10.12219  4.8760 1.471e-06 ***      
                time2013      49.11849  10.12639  4.8505 1.663e-06 ***      
                time2014      49.02274  10.13096  4.8389 1.758e-06 ***      
                time2015      48.80157  10.13547  4.8149 1.972e-06 ***      
                time2016      48.84883  10.14016  4.8174 1.949e-06 ***      
                time2017      49.02487  10.14475  4.8325 1.813e-06 ***      
                time2018      48.91718  10.14890  4.8199 1.925e-06 ***      
                time2019      48.69770  10.15167  4.7970 2.148e-06 ***      
                time2020      49.03296  10.15206  4.8299 1.836e-06 ***      
                fesisAUS.2009 -0.59551   0.18128 -3.2851 0.0010934 **       
                fesisBEL.2003 -0.79086   0.28934 -2.7334 0.0064985 **       
                fesisBEL.2006 -1.57702   0.49166 -3.2075 0.0014276 **       
                fesisBEL.2007  1.83189   0.44096  4.1544 3.856e-05 ***      
                fesisCHN.2005  0.96715   0.28023  3.4512 0.0006070 ***      
                fesisDNK.2007  1.15452   0.17096  6.7531 4.161e-11 ***      
                fesisESP.2004  0.84980   0.17971  4.7287 2.968e-06 ***      
                fesisFIN.2000 -1.16297   0.21600 -5.3842 1.137e-07 ***      
                fesisGBR.2001  0.93921   0.20052  4.6839 3.662e-06 ***      
                fesisJPN.1999  0.96368   0.23944  4.0247 6.619e-05 ***      
                fesisNOR.2019  1.30634   0.31512  4.1455 4.003e-05 ***      
                fesisRUS.2004 -1.27689   0.20939 -6.0982 2.196e-09 ***      
                fesisSWE.2003 -1.35039   0.18398 -7.3397 9.112e-13 ***      
                fesisUSA.2003  1.26132   0.18424  6.8461 2.307e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   14.0753  1 0.0001756 ***      
                Ljung-Box ARCH(1)  3.1702  1 0.0749917 .        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.41547      
                R-squared           0.92757      
                Log-lik.(n=546)  -264.16207      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 09:45:23 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                lgdp           1.019362  0.246881  4.1290 4.311e-05 ***      
                lpop          -1.671266  0.811271 -2.0601 0.0399417 *        
                idAUT         -0.190736  0.716940 -0.2660 0.7903238          
                idBEL          0.030381  0.548949  0.0553 0.9558875          
                idCAN          0.462225  0.443134  1.0431 0.2974446          
                idCHE         -1.120269  0.778053 -1.4398 0.1505782          
                idCHN          3.476506  3.305070  1.0519 0.2933983          
                idDEU          3.287682  1.211538  2.7136 0.0068987 **       
                idDNK         -1.863301  1.080127 -1.7251 0.0851700 .        
                idESP          1.947316  0.687267  2.8334 0.0048030 **       
                idFIN         -0.433996  1.047335 -0.4144 0.6787839          
                idFRA          1.990247  0.954115  2.0860 0.0375196 *        
                idGBR          1.822111  0.947236  1.9236 0.0550060 .        
                idISR         -1.804848  0.865281 -2.0859 0.0375296 *        
                idITA          1.066787  0.916960  1.1634 0.2452584          
                idJPN         -2.487946  1.883775 -1.3207 0.1872350          
                idKOR         -5.289813  1.623423 -3.2584 0.0012013 **       
                idNLD          0.825912  0.277534  2.9759 0.0030716 **       
                idNOR         -3.590456  1.221030 -2.9405 0.0034379 **       
                idRUS         -0.905284  1.698197 -0.5331 0.5942261          
                idSWE         -1.630720  0.733759 -2.2224 0.0267292 *        
                idUSA          3.226338  2.124848  1.5184 0.1295882          
                time1995       0.474677 13.479419  0.0352 0.9719233          
                time1996       0.750666 13.485242  0.0557 0.9556317          
                time1997       0.682544 13.491293  0.0506 0.9596725          
                time1998       0.613575 13.500340  0.0454 0.9637688          
                time1999       1.026303 13.509386  0.0760 0.9394755          
                time2000       1.238609 13.517143  0.0916 0.9270290          
                time2001       1.335587 13.522868  0.0988 0.9213669          
                time2002       1.402632 13.528862  0.1037 0.9174698          
                time2003       1.308708 13.533454  0.0967 0.9230044          
                time2004       1.544588 13.540602  0.1141 0.9092302          
                time2005       1.618025 13.543009  0.1195 0.9049515          
                time2006       1.987671 13.548319  0.1467 0.8834239          
                time2007       2.194874 13.555810  0.1619 0.8714431          
                time2008       2.488172 13.562225  0.1835 0.8545133          
                time2009       2.797933 13.561827  0.2063 0.8366384          
                time2010       2.850342 13.566663  0.2101 0.8336813          
                time2011       2.912044 13.566124  0.2147 0.8301288          
                time2012       2.802761 13.571443  0.2065 0.8364748          
                time2013       2.547470 13.577079  0.1876 0.8512473          
                time2014       2.434315 13.583202  0.1792 0.8578458          
                time2015       2.196137 13.589230  0.1616 0.8716834          
                time2016       2.226345 13.595491  0.1638 0.8699934          
                time2017       2.388054 13.601606  0.1756 0.8607060          
                time2018       2.293855 13.604535  0.1686 0.8661761          
                time2019       2.069541 13.607703  0.1521 0.8791842          
                time2020       2.382181 13.608388  0.1751 0.8611137          
                fesisAUS.2000 -0.957864  0.324527 -2.9516 0.0033194 **       
                fesisAUS.2002  1.211482  0.313155  3.8686 0.0001249 ***      
                fesisAUS.2009 -1.172108  0.203187 -5.7686 1.449e-08 ***      
                fesisAUT.2002 -1.529842  0.414820 -3.6880 0.0002524 ***      
                fesisAUT.2003  1.216112  0.399063  3.0474 0.0024379 **       
                fesisBEL.2003 -0.588583  0.265068 -2.2205 0.0268599 *        
                fesisBEL.2006 -1.561166  0.447047 -3.4922 0.0005243 ***      
                fesisBEL.2007  1.727656  0.401126  4.3070 2.015e-05 ***      
                fesisCAN.2002  0.766695  0.205729  3.7267 0.0002175 ***      
                fesisCAN.2010 -0.707169  0.185512 -3.8120 0.0001562 ***      
                fesisCHE.2006 -0.425706  0.162079 -2.6265 0.0089070 **       
                fesisCHN.2005  1.243080  0.285889  4.3481 1.684e-05 ***      
                fesisDEU.1998  0.933102  0.250476  3.7253 0.0002187 ***      
                fesisDNK.1998  0.774560  0.260776  2.9702 0.0031279 **       
                fesisDNK.2007  1.064651  0.169309  6.2882 7.336e-10 ***      
                fesisESP.2004  0.806482  0.170639  4.7263 3.025e-06 ***      
                fesisFIN.2000 -0.922887  0.201243 -4.5859 5.800e-06 ***      
                fesisGBR.2001  1.069173  0.186613  5.7294 1.800e-08 ***      
                fesisISR.2011 -0.635329  0.220309 -2.8838 0.0041089 **       
                fesisISR.2018 -0.567445  0.272834 -2.0798 0.0380827 *        
                fesisITA.2002  0.694043  0.184387  3.7641 0.0001883 ***      
                fesisJPN.1999  1.262100  0.225216  5.6040 3.571e-08 ***      
                fesisKOR.2005  0.693253  0.180766  3.8351 0.0001426 ***      
                fesisNOR.2019  1.148042  0.289102  3.9711 8.273e-05 ***      
                fesisRUS.2004 -0.804989  0.204320 -3.9398 9.388e-05 ***      
                fesisSWE.2003 -1.205280  0.172142 -7.0017 8.763e-12 ***      
                fesisUSA.2003  1.266195  0.174289  7.2649 1.559e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   3.2489  1 0.07147 .      
                Ljung-Box ARCH(1) 3.2605  1 0.07097 .      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.37760      
                R-squared           0.94177      
                Log-lik.(n=546)  -205.48372      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 09:46:17 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.331856  0.039887  8.3199 9.898e-16 ***      
                lgdp           0.760984  0.236950  3.2116 0.0014118 **       
                lpop          -3.075116  0.663001 -4.6382 4.578e-06 ***      
                idAUT         -1.458478  0.591875 -2.4642 0.0140948 *        
                idBEL         -0.989206  0.457310 -2.1631 0.0310437 *        
                idCAN          1.646194  0.312780  5.2631 2.169e-07 ***      
                idCHE         -2.537946  0.629791 -4.0298 6.522e-05 ***      
                idCHN         10.438973  2.547673  4.0975 4.930e-05 ***      
                idDEU          5.683449  0.890844  6.3799 4.296e-10 ***      
                idDNK         -3.213698  0.910721 -3.5287 0.0004592 ***      
                idESP          3.435842  0.560410  6.1309 1.870e-09 ***      
                idFIN         -3.089385  0.855480 -3.6113 0.0003379 ***      
                idFRA          3.782666  0.720419  5.2506 2.312e-07 ***      
                idGBR          4.172745  0.723240  5.7695 1.455e-08 ***      
                idISR         -3.178427  0.685941 -4.6337 4.674e-06 ***      
                idITA          3.505689  0.727380  4.8196 1.952e-06 ***      
                idJPN          1.514137  1.470518  1.0297 0.3037050          
                idKOR         -1.837213  1.453090 -1.2643 0.2067396          
                idNLD          0.437708  0.236674  1.8494 0.0650339 .        
                idNOR         -5.059816  1.068125 -4.7371 2.886e-06 ***      
                idRUS          3.371289  1.251496  2.6938 0.0073201 **       
                idSWE         -2.387524  0.666662 -3.5813 0.0003780 ***      
                idUSA          7.500403  1.624863  4.6160 5.070e-06 ***      
                time1996      30.898382 10.287011  3.0036 0.0028120 **       
                time1997      30.749450 10.294078  2.9871 0.0029655 **       
                time1998      30.788872 10.297629  2.9899 0.0029390 **       
                time1999      31.300145 10.305133  3.0373 0.0025213 **       
                time2000      31.202740 10.316320  3.0246 0.0026277 **       
                time2001      31.310896 10.321943  3.0334 0.0025535 **       
                time2002      31.529775 10.328636  3.0527 0.0023985 **       
                time2003      31.357926 10.336689  3.0337 0.0025517 **       
                time2004      31.587867 10.338899  3.0552 0.0023783 **       
                time2005      31.682889 10.345801  3.0624 0.0023234 **       
                time2006      31.970551 10.354067  3.0877 0.0021378 **       
                time2007      32.142404 10.362318  3.1019 0.0020404 **       
                time2008      32.328367 10.370402  3.1174 0.0019381 **       
                time2009      32.487154 10.375767  3.1311 0.0018517 **       
                time2010      32.453595 10.382682  3.1257 0.0018848 **       
                time2011      32.485931 10.387291  3.1275 0.0018740 **       
                time2012      32.373178 10.391747  3.1153 0.0019516 **       
                time2013      32.167002 10.395066  3.0944 0.0020909 **       
                time2014      32.152584 10.397480  3.0923 0.0021055 **       
                time2015      31.963746 10.401131  3.0731 0.0022432 **       
                time2016      32.085482 10.403867  3.0840 0.0021642 **       
                time2017      32.249354 10.408849  3.0983 0.0020647 **       
                time2018      32.083202 10.414601  3.0806 0.0021886 **       
                time2019      31.909771 10.416409  3.0634 0.0023156 **       
                time2020      32.270878 10.415607  3.0983 0.0020644 **       
                fesisAUT.2002 -1.971687  0.464621 -4.2436 2.657e-05 ***      
                fesisAUT.2003  1.695237  0.444476  3.8140 0.0001552 ***      
                fesisBEL.2006 -1.986931  0.450804 -4.4075 1.300e-05 ***      
                fesisBEL.2007  1.835875  0.444048  4.1344 4.224e-05 ***      
                fesisCHN.2004  0.845793  0.279175  3.0296 0.0025854 **       
                fesisDNK.2006  0.812236  0.182718  4.4453 1.099e-05 ***      
                fesisITA.1999 -1.642074  0.495838 -3.3117 0.0009997 ***      
                fesisITA.2000  1.541366  0.441769  3.4891 0.0005309 ***      
                fesisJPN.1999  0.997006  0.272781  3.6550 0.0002866 ***      
                fesisNOR.2019  1.086796  0.318636  3.4108 0.0007044 ***      
                fesisRUS.2003 -0.826842  0.228116 -3.6247 0.0003214 ***      
                fesisSWE.2002 -0.903360  0.209352 -4.3150 1.951e-05 ***      
                fesisUSA.2003  0.824486  0.199352  4.1358 4.199e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   1.8573  1 0.17293        
                Ljung-Box ARCH(1) 5.0602  1 0.02448 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.41854      
                R-squared           0.92438      
                Log-lik.(n=525)  -257.17162      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 09:46:13 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.267438  0.038477  6.9506 1.297e-11 ***      
                lgdp           0.382673  0.275594  1.3885 0.1656665          
                lpop          -3.033282  0.781564 -3.8810 0.0001197 ***      
                idAUT         -1.916456  0.664827 -2.8826 0.0041342 **       
                idBEL         -1.385844  0.508692 -2.7243 0.0066964 **       
                idCAN          1.813659  0.427912  4.2384 2.737e-05 ***      
                idCHE         -2.567884  0.725981 -3.5371 0.0004469 ***      
                idCHN         11.297217  3.070212  3.6796 0.0002621 ***      
                idDEU          6.143793  1.090699  5.6329 3.142e-08 ***      
                idDNK         -3.445962  1.070966 -3.2176 0.0013868 **       
                idESP          2.846914  0.700572  4.0637 5.708e-05 ***      
                idFIN         -3.246229  0.964146 -3.3669 0.0008259 ***      
                idFRA          4.599121  0.935610  4.9156 1.246e-06 ***      
                idGBR          3.637990  0.905911  4.0158 6.950e-05 ***      
                idISR         -3.162824  0.858348 -3.6848 0.0002570 ***      
                idITA          3.642466  0.881426  4.1325 4.287e-05 ***      
                idJPN          3.851004  1.785493  2.1568 0.0315527 *        
                idKOR          0.012997  1.701800  0.0076 0.9939099          
                idNLD          0.271491  0.266595  1.0184 0.3090566          
                idNOR         -4.669088  1.215089 -3.8426 0.0001394 ***      
                idRUS          4.729221  1.543175  3.0646 0.0023118 **       
                idSWE         -1.892361  0.754354 -2.5086 0.0124755 *        
                idUSA          8.459212  1.967016  4.3005 2.095e-05 ***      
                time1996      40.678269 12.292863  3.3091 0.0010118 **       
                time1997      40.562004 12.300199  3.2977 0.0010529 **       
                time1998      40.514308 12.304065  3.2928 0.0010710 **       
                time1999      41.042938 12.313157  3.3333 0.0009299 ***      
                time2000      41.014489 12.323393  3.3282 0.0009466 ***      
                time2001      41.185873 12.330221  3.3402 0.0009074 ***      
                time2002      41.378578 12.335798  3.3543 0.0008634 ***      
                time2003      41.233435 12.338517  3.3418 0.0009023 ***      
                time2004      41.325295 12.337507  3.3496 0.0008781 ***      
                time2005      41.600682 12.341996  3.3707 0.0008151 ***      
                time2006      41.915883 12.349937  3.3940 0.0007503 ***      
                time2007      42.084149 12.357637  3.4055 0.0007201 ***      
                time2008      42.299257 12.365776  3.4207 0.0006822 ***      
                time2009      42.465700 12.370788  3.4327 0.0006533 ***      
                time2010      42.458013 12.378258  3.4300 0.0006596 ***      
                time2011      42.502200 12.383666  3.4321 0.0006547 ***      
                time2012      42.396575 12.388810  3.4222 0.0006785 ***      
                time2013      42.188389 12.393264  3.4041 0.0007237 ***      
                time2014      42.139375 12.395666  3.3995 0.0007357 ***      
                time2015      41.951147 12.400520  3.3830 0.0007802 ***      
                time2016      42.066225 12.404814  3.3911 0.0007580 ***      
                time2017      42.242539 12.410671  3.4037 0.0007248 ***      
                time2018      42.096293 12.416857  3.3903 0.0007604 ***      
                time2019      41.921230 12.419250  3.3755 0.0008012 ***      
                time2020      42.256236 12.418789  3.4026 0.0007277 ***      
                fesisAUS.2002  0.878351  0.275795  3.1848 0.0015501 **       
                fesisAUS.2005 -0.892035  0.253636 -3.5170 0.0004812 ***      
                fesisAUT.2002 -1.903207  0.418726 -4.5452 7.077e-06 ***      
                fesisAUT.2003  1.618461  0.401144  4.0346 6.435e-05 ***      
                fesisBEL.2006 -2.043651  0.406453 -5.0280 7.192e-07 ***      
                fesisBEL.2007  1.862918  0.399366  4.6647 4.092e-06 ***      
                fesisCHE.2005 -0.982875  0.304047 -3.2326 0.0013175 **       
                fesisCHE.2007  0.764667  0.292833  2.6113 0.0093245 **       
                fesisCHN.2004  1.110157  0.262763  4.2249 2.899e-05 ***      
                fesisCHN.2014  0.539119  0.243704  2.2122 0.0274593 *        
                fesisDNK.1998  1.731969  0.472731  3.6637 0.0002784 ***      
                fesisDNK.1999 -1.126970  0.415014 -2.7155 0.0068745 **       
                fesisDNK.2006  0.849134  0.181841  4.6697 3.998e-06 ***      
                fesisESP.1999  1.017520  0.447185  2.2754 0.0233564 *        
                fesisESP.2000 -1.155643  0.446684 -2.5872 0.0099925 **       
                fesisESP.2003  0.913935  0.247907  3.6866 0.0002553 ***      
                fesisFIN.2001 -0.931928  0.287095 -3.2461 0.0012583 **       
                fesisFIN.2004  1.618839  0.446649  3.6244 0.0003230 ***      
                fesisFIN.2005 -1.313256  0.398863 -3.2925 0.0010720 **       
                fesisFRA.1998 -0.648397  0.289892 -2.2367 0.0258006 *        
                fesisGBR.2000  0.864884  0.217771  3.9715 8.324e-05 ***      
                fesisISR.2003 -1.282069  0.417261 -3.0726 0.0022521 **       
                fesisISR.2004  1.230526  0.408115  3.0151 0.0027152 **       
                fesisITA.1999 -1.567054  0.446862 -3.5068 0.0004995 ***      
                fesisITA.2000  1.446973  0.399397  3.6229 0.0003248 ***      
                fesisJPN.1999  1.017437  0.250440  4.0626 5.734e-05 ***      
                fesisKOR.1998  0.893320  0.297534  3.0024 0.0028290 **       
                fesisNOR.2019  1.120795  0.287890  3.8931 0.0001141 ***      
                fesisRUS.2003 -0.711968  0.220167 -3.2338 0.0013124 **       
                fesisSWE.2002 -0.921153  0.193363 -4.7639 2.573e-06 ***      
                fesisUSA.2003  0.934955  0.185645  5.0363 6.905e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   2.15430  1  0.1422      
                Ljung-Box ARCH(1) 0.52852  1  0.4672      
                                                 
                SE of regression    0.37614      
                R-squared           0.94129      
                Log-lik.(n=525)  -192.09969      

Batteries

with IIS

Count

AR 0

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 09:50:03 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.6633e-12  9.6426e-14  27.6199 < 2.2e-16 ***      
                pop            4.7554e-06  3.7647e-07  12.6317 < 2.2e-16 ***      
                idAUT          7.5556e+01  1.3203e+01   5.7229 1.875e-08 ***      
                idBEL          5.0165e+01  1.2892e+01   3.8911 0.0001143 ***      
                idCAN         -2.9165e+01  1.3047e+01  -2.2354 0.0258641 *        
                idCHE          6.9968e+01  1.3292e+01   5.2640 2.153e-07 ***      
                idCHN         -5.7198e+03  4.5203e+02 -12.6536 < 2.2e-16 ***      
                idDEU         -2.3267e+02  2.8823e+01  -8.0721 5.908e-15 ***      
                idDNK          6.8060e+01  1.3638e+01   4.9903 8.521e-07 ***      
                idESP         -1.1134e+02  1.4955e+01  -7.4447 4.718e-13 ***      
                idFIN          7.4393e+01  1.3666e+01   5.4438 8.441e-08 ***      
                idFRA         -1.2826e+02  2.0134e+01  -6.3702 4.526e-10 ***      
                idGBR         -1.5740e+02  1.9581e+01  -8.0384 7.524e-15 ***      
                idISR          7.1196e+01  1.3351e+01   5.3327 1.511e-07 ***      
                idITA         -1.7137e+02  1.8611e+01  -9.2080 < 2.2e-16 ***      
                idJPN          2.5558e+02  6.4853e+01   3.9409 9.359e-05 ***      
                idKOR         -2.0786e+03  7.6197e+01 -27.2789 < 2.2e-16 ***      
                idNLD          2.5699e+01  1.2396e+01   2.0732 0.0387051 *        
                idNOR          6.8448e+01  1.3758e+01   4.9751 9.182e-07 ***      
                idRUS         -7.6927e+02  4.8058e+01 -16.0072 < 2.2e-16 ***      
                idSWE          5.2046e+01  1.3075e+01   3.9806 7.970e-05 ***      
                idUSA         -9.7719e+02  1.0236e+02  -9.5465 < 2.2e-16 ***      
                time1995      -8.8516e+01  1.4762e+01  -5.9964 4.044e-09 ***      
                time1996      -9.7209e+01  1.4904e+01  -6.5223 1.803e-10 ***      
                time1997      -1.0128e+02  1.5055e+01  -6.7273 5.069e-11 ***      
                time1998      -8.7172e+01  1.4711e+01  -5.9256 6.049e-09 ***      
                time1999      -1.0034e+02  1.4836e+01  -6.7633 4.044e-11 ***      
                time2000      -9.5127e+01  1.5111e+01  -6.2954 7.078e-10 ***      
                time2001      -8.8188e+01  1.5132e+01  -5.8278 1.048e-08 ***      
                time2002      -1.0294e+02  1.5239e+01  -6.7549 4.264e-11 ***      
                time2003      -1.1011e+02  1.5357e+01  -7.1702 2.950e-12 ***      
                time2004      -1.0955e+02  1.5478e+01  -7.0777 5.405e-12 ***      
                time2005      -1.1068e+02  1.4931e+01  -7.4125 5.868e-13 ***      
                time2006      -1.0484e+02  1.5096e+01  -6.9452 1.273e-11 ***      
                time2007      -1.0871e+02  1.5185e+01  -7.1591 3.174e-12 ***      
                time2008      -1.1277e+02  1.5298e+01  -7.3714 7.739e-13 ***      
                time2009      -9.9911e+01  1.5423e+01  -6.4780 2.361e-10 ***      
                time2010      -8.4625e+01  1.5417e+01  -5.4889 6.647e-08 ***      
                time2011      -7.8628e+01  1.5634e+01  -5.0292 7.036e-07 ***      
                time2012      -9.4237e+01  1.5491e+01  -6.0832 2.455e-09 ***      
                time2013      -8.5231e+01  1.5526e+01  -5.4895 6.625e-08 ***      
                time2014      -1.0084e+02  1.5678e+01  -6.4316 3.128e-10 ***      
                time2015      -1.0472e+02  1.5828e+01  -6.6158 1.014e-10 ***      
                time2016      -9.1101e+01  1.5959e+01  -5.7084 2.030e-08 ***      
                time2017      -8.7407e+01  1.5730e+01  -5.5566 4.628e-08 ***      
                time2018      -7.7174e+01  1.5841e+01  -4.8718 1.517e-06 ***      
                time2019      -9.0571e+01  1.5786e+01  -5.7376 1.729e-08 ***      
                time2020      -7.6004e+01  1.5828e+01  -4.8018 2.121e-06 ***      
                iis155         2.1989e+02  5.5569e+01   3.9571 8.767e-05 ***      
                iis156         2.7624e+02  5.5646e+01   4.9643 9.682e-07 ***      
                iis365        -1.4776e+03  4.8903e+01 -30.2157 < 2.2e-16 ***      
                iis366        -1.4762e+03  4.8762e+01 -30.2738 < 2.2e-16 ***      
                iis367        -1.4569e+03  4.8733e+01 -29.8959 < 2.2e-16 ***      
                iis368        -1.4418e+03  4.8791e+01 -29.5498 < 2.2e-16 ***      
                iis369        -1.2159e+03  4.8850e+01 -24.8909 < 2.2e-16 ***      
                iis370        -1.1297e+03  4.8719e+01 -23.1883 < 2.2e-16 ***      
                iis371        -1.2081e+03  4.8614e+01 -24.8500 < 2.2e-16 ***      
                iis372        -1.2782e+03  4.8638e+01 -26.2794 < 2.2e-16 ***      
                iis373        -1.2585e+03  4.8593e+01 -25.8994 < 2.2e-16 ***      
                iis374        -1.2382e+03  4.8540e+01 -25.5090 < 2.2e-16 ***      
                iis375        -1.1360e+03  4.8534e+01 -23.4069 < 2.2e-16 ***      
                iis376        -1.1181e+03  4.8473e+01 -23.0671 < 2.2e-16 ***      
                iis377        -9.5548e+02  4.8468e+01 -19.7134 < 2.2e-16 ***      
                iis378        -1.0270e+03  4.8462e+01 -21.1910 < 2.2e-16 ***      
                iis379        -6.6036e+02  4.8549e+01 -13.6020 < 2.2e-16 ***      
                iis381         4.4482e+02  4.8473e+01   9.1768 < 2.2e-16 ***      
                iis382         3.5220e+02  4.8451e+01   7.2692 1.532e-12 ***      
                iis387         4.1910e+02  4.8486e+01   8.6437 < 2.2e-16 ***      
                iis388         4.9961e+02  4.8489e+01  10.3035 < 2.2e-16 ***      
                fesisCHN.1998 -2.5035e+02  3.6872e+01  -6.7897 3.425e-11 ***      
                fesisCHN.2005 -1.8611e+02  3.4438e+01  -5.4041 1.040e-07 ***      
                fesisCHN.2017  3.4884e+02  4.0251e+01   8.6667 < 2.2e-16 ***      
                fesisDEU.2005  8.9996e+01  2.6859e+01   3.3507 0.0008715 ***      
                fesisDEU.2009  3.5981e+02  2.6244e+01  13.7103 < 2.2e-16 ***      
                fesisKOR.2000 -3.5642e+02  5.1673e+01  -6.8976 1.727e-11 ***      
                fesisKOR.2001 -2.7090e+02  5.1803e+01  -5.2295 2.570e-07 ***      
                fesisKOR.2006 -3.4626e+02  4.2920e+01  -8.0675 6.108e-15 ***      
                fesisKOR.2015 -3.7427e+02  4.1507e+01  -9.0169 < 2.2e-16 ***      
                fesisUSA.2012  3.9864e+02  2.1790e+01  18.2948 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   15.482  1 8.330e-05 ***      
                Ljung-Box ARCH(1) 51.094  1 8.805e-13 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    44.19004      
                R-squared            0.99081      
                Log-lik.(n=546)  -2803.76114      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 09:50:01 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.9256e-12  1.6230e-13  18.0259 < 2.2e-16 ***      
                pop            5.6087e-06  4.2001e-07  13.3535 < 2.2e-16 ***      
                idAUT          8.7010e+01  1.1648e+01   7.4699 4.109e-13 ***      
                idBEL          5.9542e+01  1.1208e+01   5.3126 1.692e-07 ***      
                idCAN         -3.9362e+01  1.1430e+01  -3.4438 0.0006265 ***      
                idCHE          8.1881e+01  1.1774e+01   6.9544 1.230e-11 ***      
                idCHN         -6.7771e+03  5.0626e+02 -13.3866 < 2.2e-16 ***      
                idDEU         -2.8466e+02  2.9833e+01  -9.5417 < 2.2e-16 ***      
                idDNK          8.1511e+01  1.2261e+01   6.6480 8.488e-11 ***      
                idESP         -1.3062e+02  1.4044e+01  -9.3007 < 2.2e-16 ***      
                idFIN          8.8453e+01  1.2294e+01   7.1949 2.578e-12 ***      
                idFRA         -1.6460e+02  2.0573e+01  -8.0008 1.027e-14 ***      
                idGBR         -1.9207e+02  1.9900e+01  -9.6518 < 2.2e-16 ***      
                idISR          8.3356e+01  1.1858e+01   7.0298 7.574e-12 ***      
                idITA         -2.0316e+02  1.8706e+01 -10.8610 < 2.2e-16 ***      
                idJPN          2.4600e+01  9.4654e+01   0.2599 0.7950640          
                idKOR         -2.7328e+03  1.5214e+02 -17.9620 < 2.2e-16 ***      
                idNLD          3.0149e+01  1.0490e+01   2.8742 0.0042397 **       
                idNOR          8.2260e+01  1.2430e+01   6.6177 1.024e-10 ***      
                idRUS         -8.5765e+02  5.3975e+01 -15.8899 < 2.2e-16 ***      
                idSWE          6.1770e+01  1.1479e+01   5.3812 1.185e-07 ***      
                idUSA         -1.2094e+03  1.1359e+02 -10.6470 < 2.2e-16 ***      
                time1995      -1.1193e+02  1.3333e+01  -8.3946 5.913e-16 ***      
                time1996      -1.1568e+02  1.3547e+01  -8.5387 < 2.2e-16 ***      
                time1997      -1.1531e+02  1.3765e+01  -8.3769 6.734e-16 ***      
                time1998      -1.1970e+02  1.3978e+01  -8.5635 < 2.2e-16 ***      
                time1999      -1.1045e+02  1.3622e+01  -8.1082 4.760e-15 ***      
                time2000      -1.1252e+02  1.3749e+01  -8.1836 2.762e-15 ***      
                time2001      -1.2035e+02  1.3910e+01  -8.6525 < 2.2e-16 ***      
                time2002      -1.2132e+02  1.4072e+01  -8.6212 < 2.2e-16 ***      
                time2003      -1.2014e+02  1.3673e+01  -8.7865 < 2.2e-16 ***      
                time2004      -1.2094e+02  1.3822e+01  -8.7498 < 2.2e-16 ***      
                time2005      -1.2203e+02  1.4083e+01  -8.6650 < 2.2e-16 ***      
                time2006      -1.3498e+02  1.4233e+01  -9.4834 < 2.2e-16 ***      
                time2007      -1.3067e+02  1.4407e+01  -9.0693 < 2.2e-16 ***      
                time2008      -1.2330e+02  1.4657e+01  -8.4128 5.170e-16 ***      
                time2009      -1.2367e+02  1.4737e+01  -8.3915 6.047e-16 ***      
                time2010      -9.9697e+01  1.4181e+01  -7.0302 7.554e-12 ***      
                time2011      -1.0006e+02  1.4410e+01  -6.9437 1.318e-11 ***      
                time2012      -1.1535e+02  1.4192e+01  -8.1280 4.128e-15 ***      
                time2013      -1.0739e+02  1.4293e+01  -7.5137 3.052e-13 ***      
                time2014      -1.1404e+02  1.4568e+01  -7.8280 3.482e-14 ***      
                time2015      -1.2022e+02  1.4700e+01  -8.1781 2.876e-15 ***      
                time2016      -1.0788e+02  1.4849e+01  -7.2649 1.623e-12 ***      
                time2017      -1.0467e+02  1.4676e+01  -7.1324 3.884e-12 ***      
                time2018      -9.5695e+01  1.4817e+01  -6.4586 2.707e-10 ***      
                time2019      -1.0985e+02  1.4770e+01  -7.4368 5.139e-13 ***      
                time2020      -9.4922e+01  1.4825e+01  -6.4028 3.790e-10 ***      
                iis155         2.1222e+02  4.6677e+01   4.5465 6.995e-06 ***      
                iis156         2.6483e+02  4.6796e+01   5.6592 2.688e-08 ***      
                iis365        -1.4505e+03  4.2433e+01 -34.1835 < 2.2e-16 ***      
                iis366        -1.4580e+03  4.1828e+01 -34.8579 < 2.2e-16 ***      
                iis367        -1.4446e+03  4.1656e+01 -34.6800 < 2.2e-16 ***      
                iis368        -1.4097e+03  4.1865e+01 -33.6724 < 2.2e-16 ***      
                iis369        -1.2060e+03  4.1960e+01 -28.7428 < 2.2e-16 ***      
                iis370        -1.1161e+03  4.1451e+01 -26.9271 < 2.2e-16 ***      
                iis371        -1.1805e+03  4.1460e+01 -28.4729 < 2.2e-16 ***      
                iis372        -1.2647e+03  4.1355e+01 -30.5814 < 2.2e-16 ***      
                iis373        -1.2556e+03  4.1220e+01 -30.4608 < 2.2e-16 ***      
                iis374        -1.2368e+03  4.1032e+01 -30.1417 < 2.2e-16 ***      
                iis375        -1.1370e+03  4.0828e+01 -27.8485 < 2.2e-16 ***      
                iis376        -1.1022e+03  4.0781e+01 -27.0278 < 2.2e-16 ***      
                iis377        -9.4990e+02  4.0689e+01 -23.3457 < 2.2e-16 ***      
                iis378        -1.0312e+03  4.0776e+01 -25.2886 < 2.2e-16 ***      
                iis379        -6.4357e+02  4.1231e+01 -15.6089 < 2.2e-16 ***      
                iis381         4.5417e+02  4.0760e+01  11.1426 < 2.2e-16 ***      
                iis382         3.5957e+02  4.0707e+01   8.8330 < 2.2e-16 ***      
                iis387         4.1443e+02  4.0770e+01  10.1649 < 2.2e-16 ***      
                iis388         4.9540e+02  4.0781e+01  12.1478 < 2.2e-16 ***      
                iis391         6.0988e+02  6.0840e+01  10.0243 < 2.2e-16 ***      
                iis392         4.8165e+02  5.5609e+01   8.6613 < 2.2e-16 ***      
                iis393         3.6516e+02  5.1954e+01   7.0285 7.634e-12 ***      
                iis394         4.8143e+02  5.5138e+01   8.7313 < 2.2e-16 ***      
                iis395         2.4498e+02  4.9158e+01   4.9836 8.873e-07 ***      
                iis404        -2.5172e+02  4.4130e+01  -5.7041 2.103e-08 ***      
                fesisCHN.1999 -2.4873e+02  3.2249e+01  -7.7128 7.774e-14 ***      
                fesisCHN.2003 -1.8803e+02  2.9637e+01  -6.3445 5.375e-10 ***      
                fesisCHN.2010 -1.2500e+02  2.9751e+01  -4.2015 3.190e-05 ***      
                fesisCHN.2017  3.3398e+02  3.4064e+01   9.8044 < 2.2e-16 ***      
                fesisDEU.2005  8.9533e+01  2.2569e+01   3.9671 8.444e-05 ***      
                fesisDEU.2009  3.6025e+02  2.2044e+01  16.3421 < 2.2e-16 ***      
                fesisKOR.2002 -3.0757e+02  4.1014e+01  -7.4991 3.371e-13 ***      
                fesisKOR.2005 -2.1189e+02  4.0200e+01  -5.2708 2.098e-07 ***      
                fesisKOR.2007 -1.9600e+02  4.3799e+01  -4.4749 9.662e-06 ***      
                fesisKOR.2011  9.8899e+01  4.1503e+01   2.3830 0.0175819 *        
                fesisKOR.2014 -2.1541e+02  4.6423e+01  -4.6402 4.554e-06 ***      
                fesisKOR.2015 -3.5260e+02  4.8419e+01  -7.2822 1.448e-12 ***      
                fesisRUS.2010 -8.2093e+01  1.5959e+01  -5.1439 4.000e-07 ***      
                fesisUSA.2012  3.6873e+02  2.0201e+01  18.2531 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value          
                Ljung-Box AR(1)     4.4008  1 0.03592 *        
                Ljung-Box ARCH(1) 119.1425  1 < 2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    37.07682      
                R-squared            0.99367      
                Log-lik.(n=546)  -2702.93411      

AR 1

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 09:49:56 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.2783e-01  1.0512e-02  88.2601 < 2.2e-16 ***      
                gdp            8.4011e-16  3.0596e-14   0.0275 0.9781063          
                pop            5.5454e-07  1.1179e-07   4.9604 9.982e-07 ***      
                idAUT          9.4704e+00  6.6223e+00   1.4301 0.1533869          
                idBEL          5.3305e+00  6.5582e+00   0.8128 0.4167642          
                idCAN         -4.3180e+00  6.5734e+00  -0.6569 0.5115878          
                idCHE          7.7060e+00  6.6325e+00   1.1618 0.2459139          
                idCHN         -6.8333e+02  1.4327e+02  -4.7696 2.497e-06 ***      
                idDEU          6.6839e+00  9.1577e+00   0.7299 0.4658479          
                idDNK          7.5681e+00  6.6878e+00   1.1316 0.2583931          
                idESP         -1.3530e+01  6.9387e+00  -1.9500 0.0518007 .        
                idFIN          8.0119e+00  6.6943e+00   1.1968 0.2320022          
                idFRA         -1.1529e+01  7.9102e+00  -1.4575 0.1456776          
                idGBR         -1.6461e+01  7.8328e+00  -2.1015 0.0361484 *        
                idISR          7.4117e+00  6.6423e+00   1.1158 0.2650823          
                idITA         -2.0184e+01  7.6598e+00  -2.6351 0.0087015 **       
                idJPN          6.8495e+00  2.3066e+01   0.2969 0.7666417          
                idKOR          2.2248e+01  3.1555e+01   0.7051 0.4811313          
                idNLD          1.9612e+00  6.4735e+00   0.3030 0.7620672          
                idNOR          8.1218e+00  6.7081e+00   1.2108 0.2266244          
                idRUS         -6.9217e+01  1.5373e+01  -4.5025 8.562e-06 ***      
                idSWE          7.3126e+00  6.5906e+00   1.1095 0.2677856          
                idUSA         -9.2381e+01  3.0816e+01  -2.9978 0.0028699 **       
                time1996      -1.2966e+01  6.9462e+00  -1.8666 0.0626105 .        
                time1997      -9.6818e+00  6.9618e+00  -1.3907 0.1649992          
                time1998      -1.6332e+01  6.9791e+00  -2.3401 0.0197116 *        
                time1999      -1.2527e+01  7.0210e+00  -1.7843 0.0750490 .        
                time2000      -1.6624e+01  7.0252e+00  -2.3663 0.0183872 *        
                time2001      -1.3992e+01  7.0957e+00  -1.9719 0.0492282 *        
                time2002      -1.8489e+01  7.1149e+00  -2.5986 0.0096667 **       
                time2003      -1.7857e+01  7.1034e+00  -2.5139 0.0122861 *        
                time2004      -6.8775e+00  7.1253e+00  -0.9652 0.3349509          
                time2005      -9.6994e+00  7.1298e+00  -1.3604 0.1743824          
                time2006      -1.6565e+01  7.1437e+00  -2.3189 0.0208479 *        
                time2007      -7.7158e+00  7.2291e+00  -1.0673 0.2863964          
                time2008      -1.2215e+01  7.2467e+00  -1.6856 0.0925672 .        
                time2009       2.8855e+00  7.3411e+00   0.3931 0.6944566          
                time2010       5.8301e-01  7.3452e+00   0.0794 0.9367717          
                time2011      -4.2299e+00  7.2861e+00  -0.5805 0.5618361          
                time2012      -7.4127e+00  7.2221e+00  -1.0264 0.3052568          
                time2013      -1.7957e+01  7.4846e+00  -2.3993 0.0168334 *        
                time2014      -1.1959e+01  7.3717e+00  -1.6223 0.1054273          
                time2015      -1.8808e+01  7.3983e+00  -2.5422 0.0113502 *        
                time2016      -9.2055e+00  7.2803e+00  -1.2644 0.2067237          
                time2017       8.7075e+00  7.2668e+00   1.1982 0.2314492          
                time2018      -2.7169e+00  7.2763e+00  -0.3734 0.7090319          
                time2019      -1.7203e+01  7.2936e+00  -2.3587 0.0187641 *        
                time2020      -7.8296e+00  7.4322e+00  -1.0535 0.2926898          
                iis146         1.1693e+02  2.6704e+01   4.3790 1.484e-05 ***      
                iis356        -1.1480e+02  2.5740e+01  -4.4598 1.037e-05 ***      
                iis357        -1.3307e+02  2.5821e+01  -5.1536 3.830e-07 ***      
                iis362         1.3089e+02  2.5663e+01   5.1003 5.003e-07 ***      
                iis363        -1.2407e+02  2.5593e+01  -4.8477 1.721e-06 ***      
                iis364         2.4711e+02  2.5639e+01   9.6380 < 2.2e-16 ***      
                iis365         6.8760e+02  2.5699e+01  26.7565 < 2.2e-16 ***      
                iis366         4.8954e+02  2.7276e+01  17.9477 < 2.2e-16 ***      
                iis368        -3.3893e+02  2.7242e+01 -12.4412 < 2.2e-16 ***      
                iis372         3.6054e+02  2.7003e+01  13.3517 < 2.2e-16 ***      
                iis373         9.2984e+01  2.7368e+01   3.3975 0.0007403 ***      
                iis374        -4.8417e+02  2.7525e+01 -17.5902 < 2.2e-16 ***      
                iis375        -2.0412e+02  2.7056e+01  -7.5441 2.533e-13 ***      
                iis389         1.4429e+02  2.7985e+01   5.1561 3.781e-07 ***      
                iis390         1.8061e+02  2.6663e+01   6.7740 3.922e-11 ***      
                iis393         2.0248e+02  2.5599e+01   7.9096 2.010e-14 ***      
                iis394        -2.5935e+02  2.5622e+01 -10.1224 < 2.2e-16 ***      
                iis395        -2.6334e+02  2.5305e+01 -10.4064 < 2.2e-16 ***      
                iis400         3.3542e+02  2.5759e+01  13.0213 < 2.2e-16 ***      
                iis518         1.8970e+02  2.4013e+01   7.8997 2.156e-14 ***      
                iis525        -1.5288e+02  2.4484e+01  -6.2442 9.848e-10 ***      
                fesisCHN.2016  1.3831e+02  1.7173e+01   8.0542 7.203e-15 ***      
                fesisJPN.1999  1.5494e+02  2.1386e+01   7.2451 1.885e-12 ***      
                fesisJPN.2001 -1.0259e+02  2.0210e+01  -5.0760 5.647e-07 ***      
                fesisJPN.2013  7.1047e+01  1.9725e+01   3.6019 0.0003510 ***      
                fesisKOR.2009  1.4268e+02  2.3692e+01   6.0222 3.572e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df   p-value          
                Ljung-Box AR(1)    0.22905  1    0.6322          
                Ljung-Box ARCH(1) 37.47042  1 9.281e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    22.79965      
                R-squared            0.99762      
                Log-lik.(n=525)  -2349.48390      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 09:49:54 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.6110e-01  1.1760e-02  81.7253 < 2.2e-16 ***      
                gdp           -4.3731e-14  2.9660e-14  -1.4744 0.1410766          
                pop            4.4296e-07  1.0872e-07   4.0743 5.462e-05 ***      
                idAUT          7.6403e+00  6.3182e+00   1.2093 0.2272031          
                idBEL          4.1830e+00  6.2513e+00   0.6691 0.5037491          
                idCAN         -3.9071e+00  6.2626e+00  -0.6239 0.5330226          
                idCHE          6.0362e+00  6.3264e+00   0.9541 0.3405357          
                idCHN         -5.4257e+02  1.3922e+02  -3.8973 0.0001122 ***      
                idDEU          4.5437e+00  8.7310e+00   0.5204 0.6030361          
                idDNK          5.9935e+00  6.3786e+00   0.9396 0.3479154          
                idESP         -1.0877e+01  6.6304e+00  -1.6404 0.1016183          
                idFIN          6.3152e+00  6.3855e+00   0.9890 0.3232036          
                idFRA         -9.1159e+00  7.5519e+00  -1.2071 0.2280335          
                idGBR         -1.3024e+01  7.4931e+00  -1.7382 0.0828729 .        
                idISR          5.6983e+00  6.3362e+00   0.8993 0.3689671          
                idITA         -1.6236e+01  7.3379e+00  -2.2126 0.0274321 *        
                idJPN          1.7109e+02  2.3684e+01   7.2239 2.194e-12 ***      
                idKOR          5.2163e+01  3.0310e+01   1.7210 0.0859460 .        
                idNLD          1.3412e+00  6.1679e+00   0.2174 0.8279613          
                idNOR          6.5334e+00  6.3982e+00   1.0211 0.3077424          
                idRUS         -5.2390e+01  1.4943e+01  -3.5061 0.0005007 ***      
                idSWE          6.0547e+00  6.2836e+00   0.9636 0.3357783          
                idUSA         -7.6775e+01  2.9528e+01  -2.6001 0.0096289 **       
                time1996      -1.0284e+01  6.6914e+00  -1.5369 0.1250332          
                time1997      -6.6629e+00  6.7095e+00  -0.9931 0.3212210          
                time1998      -1.3243e+01  6.7250e+00  -1.9693 0.0495372 *        
                time1999      -9.2646e+00  6.7122e+00  -1.3803 0.1681903          
                time2000      -1.3492e+01  6.7127e+00  -2.0099 0.0450454 *        
                time2001      -1.0580e+01  6.7833e+00  -1.5597 0.1195379          
                time2002      -1.4933e+01  6.8026e+00  -2.1952 0.0286627 *        
                time2003      -1.4427e+01  6.7745e+00  -2.1297 0.0337445 *        
                time2004      -1.0695e+01  6.8682e+00  -1.5572 0.1201320          
                time2005      -6.3829e+00  6.7976e+00  -0.9390 0.3482397          
                time2006      -1.3356e+01  6.8095e+00  -1.9614 0.0504530 .        
                time2007      -3.6858e+00  6.9139e+00  -0.5331 0.5942238          
                time2008      -9.5938e+00  6.9532e+00  -1.3798 0.1683452          
                time2009       5.5916e+00  7.0126e+00   0.7974 0.4256593          
                time2010       2.7192e+00  7.0094e+00   0.3879 0.6982520          
                time2011      -2.6297e+00  6.9503e+00  -0.3784 0.7053497          
                time2012      -3.5934e+00  6.9045e+00  -0.5204 0.6030120          
                time2013      -1.6423e+01  7.1362e+00  -2.3013 0.0218345 *        
                time2014      -1.0762e+01  7.0264e+00  -1.5317 0.1263105          
                time2015      -1.7642e+01  7.0515e+00  -2.5019 0.0127093 *        
                time2016      -7.7908e+00  6.9407e+00  -1.1225 0.2622628          
                time2017       1.1178e+01  6.9377e+00   1.6112 0.1078506          
                time2018      -1.1971e+00  6.9414e+00  -0.1725 0.8631575          
                time2019      -1.9420e+01  7.0100e+00  -2.7703 0.0058333 **       
                time2020      -6.1708e+00  7.0923e+00  -0.8701 0.3847315          
                iis146         1.4902e+02  2.6365e+01   5.6522 2.827e-08 ***      
                iis149         6.3989e+01  2.5752e+01   2.4848 0.0133265 *        
                iis351        -1.4381e+02  2.7339e+01  -5.2602 2.237e-07 ***      
                iis352        -1.4943e+02  2.7314e+01  -5.4709 7.467e-08 ***      
                iis353        -1.5639e+02  2.7295e+01  -5.7297 1.851e-08 ***      
                iis356        -1.2659e+02  2.4905e+01  -5.0826 5.482e-07 ***      
                iis357        -1.4280e+02  2.4890e+01  -5.7373 1.776e-08 ***      
                iis362         2.3483e+02  2.9032e+01   8.0886 5.735e-15 ***      
                iis364         3.4786e+02  2.8683e+01  12.1278 < 2.2e-16 ***      
                iis365         7.7982e+02  2.7864e+01  27.9869 < 2.2e-16 ***      
                iis366         5.5843e+02  2.7388e+01  20.3894 < 2.2e-16 ***      
                iis368        -3.4952e+02  2.6023e+01 -13.4311 < 2.2e-16 ***      
                iis372         3.5825e+02  2.5727e+01  13.9249 < 2.2e-16 ***      
                iis373         7.8219e+01  2.6205e+01   2.9849 0.0029923 **       
                iis374        -4.9863e+02  2.6434e+01 -18.8628 < 2.2e-16 ***      
                iis375        -2.0693e+02  2.5778e+01  -8.0272 8.891e-15 ***      
                iis384         1.5509e+02  2.3387e+01   6.6314 9.616e-11 ***      
                iis389         1.5679e+02  2.6961e+01   5.8155 1.152e-08 ***      
                iis390         1.8722e+02  2.5525e+01   7.3350 1.051e-12 ***      
                iis393         1.9678e+02  2.4396e+01   8.0661 6.732e-15 ***      
                iis394        -2.7212e+02  2.4495e+01 -11.1091 < 2.2e-16 ***      
                iis395        -2.6784e+02  2.4117e+01 -11.1059 < 2.2e-16 ***      
                iis400         3.3265e+02  2.4568e+01  13.5402 < 2.2e-16 ***      
                iis518         1.8456e+02  2.2894e+01   8.0613 6.970e-15 ***      
                iis525        -1.6681e+02  2.3445e+01  -7.1148 4.483e-12 ***      
                fesisCHN.2016  1.0855e+02  1.7669e+01   6.1433 1.788e-09 ***      
                fesisJPN.2001 -9.8305e+01  1.9362e+01  -5.0771 5.635e-07 ***      
                fesisJPN.2007 -1.1781e+02  2.2626e+01  -5.2069 2.935e-07 ***      
                fesisJPN.2013  1.3895e+02  2.0575e+01   6.7534 4.508e-11 ***      
                fesisKOR.2009  1.5165e+02  2.3215e+01   6.5327 1.762e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    1.2419  1    0.2651          
                Ljung-Box ARCH(1) 26.6801  1 2.401e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    21.71924      
                R-squared            0.99786      
                Log-lik.(n=525)  -2321.99695      

Log Count

AR 0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 09:50:04 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                lgdp           1.501582  0.163545  9.1814 < 2.2e-16 ***      
                lpop          -2.272653  0.572998 -3.9662 8.427e-05 ***      
                idAUT          0.093894  0.509091  0.1844 0.8537516          
                idBEL         -0.263223  0.392108 -0.6713 0.5023538          
                idCAN          2.200097  0.263000  8.3654 6.722e-16 ***      
                idCHE         -0.649865  0.554125 -1.1728 0.2414735          
                idCHN          6.636859  2.260749  2.9357 0.0034895 **       
                idDEU          4.844803  0.780839  6.2046 1.195e-09 ***      
                idDNK         -2.925639  0.812368 -3.6014 0.0003499 ***      
                idESP          1.685846  0.453656  3.7161 0.0002264 ***      
                idFIN         -0.498260  0.739605 -0.6737 0.5008395          
                idFRA          4.066721  0.619860  6.5607 1.403e-10 ***      
                idGBR          3.696739  0.611230  6.0480 2.972e-09 ***      
                idISR         -0.960237  0.674244 -1.4242 0.1550544          
                idITA          2.601080  0.580724  4.4790 9.403e-06 ***      
                idJPN          0.277772  1.131042  0.2456 0.8061061          
                idKOR         -4.961881  1.012501 -4.9006 1.313e-06 ***      
                idNLD          1.218816  0.187664  6.4947 2.102e-10 ***      
                idNOR         -5.382654  0.898219 -5.9926 4.086e-09 ***      
                idRUS         -1.178201  1.090766 -1.0802 0.2806197          
                idSWE         -3.196799  0.547811 -5.8356 9.933e-09 ***      
                idUSA          6.432374  1.430608  4.4963 8.702e-06 ***      
                time1995      -2.340864  9.073051 -0.2580 0.7965172          
                time1996      -2.301414  9.076516 -0.2536 0.7999476          
                time1997      -2.055767  9.080595 -0.2264 0.8209945          
                time1998      -2.193629  9.083392 -0.2415 0.8092727          
                time1999      -1.999419  9.086931 -0.2200 0.8259405          
                time2000      -1.802128  9.091015 -0.1982 0.8429486          
                time2001      -1.944428  9.094325 -0.2138 0.8307895          
                time2002      -2.112851  9.092843 -0.2324 0.8163552          
                time2003      -2.047423  9.097640 -0.2250 0.8220373          
                time2004      -2.086385  9.101937 -0.2292 0.8187933          
                time2005      -1.920628  9.106858 -0.2109 0.8330565          
                time2006      -1.918173  9.110865 -0.2105 0.8333390          
                time2007      -1.785948  9.119001 -0.1958 0.8448120          
                time2008      -1.758293  9.124279 -0.1927 0.8472724          
                time2009      -1.435444  9.128362 -0.1573 0.8751138          
                time2010      -1.231438  9.132419 -0.1348 0.8927935          
                time2011      -1.124666  9.135888 -0.1231 0.9020767          
                time2012      -1.079249  9.140319 -0.1181 0.9060576          
                time2013      -1.013365  9.144044 -0.1108 0.9118040          
                time2014      -1.070575  9.147979 -0.1170 0.9068869          
                time2015      -1.152097  9.151908 -0.1259 0.8998755          
                time2016      -1.041690  9.155898 -0.1138 0.9094661          
                time2017      -0.834085  9.160511 -0.0911 0.9274895          
                time2018      -0.693901  9.164117 -0.0757 0.9396743          
                time2019      -0.825684  9.164545 -0.0901 0.9282494          
                time2020      -0.701859  9.168871 -0.0765 0.9390154          
                iis58         -1.071154  0.346667 -3.0899 0.0021200 **       
                iis107        -1.796449  0.333791 -5.3820 1.160e-07 ***      
                iis132        -0.979935  0.353502 -2.7721 0.0057887 **       
                iis326         1.490871  0.337005  4.4239 1.203e-05 ***      
                iis337        -1.292258  0.341293 -3.7864 0.0001725 ***      
                iis391        -0.940122  0.349801 -2.6876 0.0074495 **       
                iis491        -1.078228  0.343213 -3.1416 0.0017854 **       
                iis492        -1.096690  0.343389 -3.1937 0.0014978 **       
                iis493        -1.017654  0.343835 -2.9597 0.0032331 **       
                iis494        -1.218173  0.343920 -3.5420 0.0004363 ***      
                fesisAUT.2009  0.922963  0.131069  7.0418 6.689e-12 ***      
                fesisBEL.2004  0.515767  0.141869  3.6355 0.0003077 ***      
                fesisCHN.2002  0.652302  0.214868  3.0358 0.0025305 **       
                fesisDEU.2007  0.674540  0.140687  4.7946 2.184e-06 ***      
                fesisDNK.1997 -1.216222  0.246811 -4.9277 1.151e-06 ***      
                fesisDNK.2012 -1.242106  0.208082 -5.9693 4.667e-09 ***      
                fesisDNK.2015  1.009758  0.231183  4.3678 1.542e-05 ***      
                fesisFIN.2003 -0.434665  0.143088 -3.0378 0.0025147 **       
                fesisISR.2002 -0.633287  0.173807 -3.6436 0.0002984 ***      
                fesisKOR.2003  0.794101  0.156646  5.0694 5.729e-07 ***      
                fesisNLD.2009 -0.850679  0.131470 -6.4705 2.435e-10 ***      
                fesisRUS.2005  0.803154  0.259615  3.0936 0.0020938 **       
                fesisRUS.2007 -1.196649  0.255784 -4.6784 3.776e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   4.6430  1 0.03118 *      
                Ljung-Box ARCH(1) 1.7258  1 0.18895        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.31889      
                R-squared           0.97546      
                Log-lik.(n=546)  -115.21575      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 09:49:59 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                lgdp            1.458997   0.142882 10.2112 < 2.2e-16 ***      
                lpop           -1.653512   0.496472 -3.3305 0.0009363 ***      
                idAUT           0.603563   0.469175  1.2864 0.1989359          
                idBEL           0.119625   0.365836  0.3270 0.7438228          
                idCAN           2.527007   0.269460  9.3780 < 2.2e-16 ***      
                idCHE          -0.061832   0.496400 -0.1246 0.9009255          
                idCHN           4.209951   1.997207  2.1079 0.0355760 *        
                idDEU           4.017076   0.685727  5.8581 8.902e-09 ***      
                idDNK          -3.308220   0.684675 -4.8318 1.844e-06 ***      
                idESP           1.105178   0.388996  2.8411 0.0046945 **       
                idFIN           0.180845   0.680010  0.2659 0.7904008          
                idFRA           3.399658   0.542807  6.2631 8.643e-10 ***      
                idGBR           3.040950   0.532559  5.7101 2.023e-08 ***      
                idISR          -0.215951   0.600201 -0.3598 0.7191625          
                idITA           1.978807   0.505987  3.9108 0.0001058 ***      
                idJPN          -0.580809   1.065753 -0.5450 0.5860335          
                idKOR          -5.185047   0.934989 -5.5456 4.938e-08 ***      
                idNLD           1.336474   0.176692  7.5639 2.132e-13 ***      
                idNOR          -4.287245   0.783727 -5.4703 7.373e-08 ***      
                idRUS          -2.492957   0.984069 -2.5333 0.0116286 *        
                idSWE          -2.691522   0.463959 -5.8012 1.223e-08 ***      
                idUSA           4.892902   1.279397  3.8244 0.0001491 ***      
                time1995      -11.608701   8.327830 -1.3940 0.1639983          
                time1996      -11.554347   8.333351 -1.3865 0.1662573          
                time1997      -11.294921   8.337410 -1.3547 0.1761664          
                time1998      -11.449530   8.339459 -1.3729 0.1704388          
                time1999      -11.271900   8.343230 -1.3510 0.1773492          
                time2000      -11.022033   8.347534 -1.3204 0.1873573          
                time2001      -11.168406   8.350742 -1.3374 0.1817454          
                time2002      -11.368082   8.347878 -1.3618 0.1739269          
                time2003      -11.275120   8.352508 -1.3499 0.1777064          
                time2004      -11.314937   8.356652 -1.3540 0.1763972          
                time2005      -11.169567   8.360149 -1.3360 0.1821910          
                time2006      -11.106653   8.363327 -1.3280 0.1848277          
                time2007      -10.990520   8.369993 -1.3131 0.1898058          
                time2008      -10.966212   8.374859 -1.3094 0.1910428          
                time2009      -10.623170   8.377332 -1.2681 0.2054062          
                time2010      -10.480939   8.381198 -1.2505 0.2117390          
                time2011      -10.376711   8.384608 -1.2376 0.2164965          
                time2012      -10.348102   8.388579 -1.2336 0.2179814          
                time2013      -10.266532   8.392286 -1.2233 0.2218288          
                time2014      -10.363882   8.396005 -1.2344 0.2176878          
                time2015      -10.437150   8.399763 -1.2426 0.2146629          
                time2016      -10.330113   8.403581 -1.2293 0.2196033          
                time2017      -10.162732   8.408699 -1.2086 0.2274358          
                time2018       -9.985332   8.412292 -1.1870 0.2358403          
                time2019      -10.117318   8.412817 -1.2026 0.2297441          
                time2020      -10.000716   8.416056 -1.1883 0.2353296          
                iis58          -1.099424   0.322503 -3.4090 0.0007091 ***      
                iis107         -1.767320   0.310843 -5.6856 2.314e-08 ***      
                iis132         -0.968233   0.329151 -2.9416 0.0034292 **       
                iis183          0.954784   0.315321  3.0280 0.0025997 **       
                iis184          1.561225   0.314793  4.9595 9.945e-07 ***      
                iis201         -0.770715   0.372267 -2.0703 0.0389763 *        
                iis238          0.792854   0.325044  2.4392 0.0150944 *        
                iis326          1.473576   0.313528  4.7000 3.439e-06 ***      
                iis337         -1.340674   0.317458 -4.2232 2.903e-05 ***      
                iis391         -0.906342   0.326166 -2.7788 0.0056787 **       
                iis431         -0.639314   0.317888 -2.0111 0.0448920 *        
                iis465          0.801573   0.319219  2.5110 0.0123778 *        
                iis469          0.947857   0.317944  2.9812 0.0030228 **       
                iis476          0.718637   0.313672  2.2911 0.0224099 *        
                iis479          1.181117   0.312497  3.7796 0.0001776 ***      
                iis480          0.950136   0.312710  3.0384 0.0025133 **       
                iis491         -1.094274   0.315626 -3.4670 0.0005755 ***      
                iis492         -1.148692   0.315735 -3.6382 0.0003056 ***      
                iis493         -1.068220   0.316282 -3.3774 0.0007935 ***      
                iis494         -1.261231   0.316880 -3.9802 7.996e-05 ***      
                iis499          1.106586   0.310505  3.5638 0.0004035 ***      
                fesisAUT.2009   0.931897   0.122107  7.6318 1.337e-13 ***      
                fesisBEL.2004   0.488008   0.132294  3.6888 0.0002521 ***      
                fesisCAN.1998  -0.455134   0.206756 -2.2013 0.0282078 *        
                fesisCAN.2006  -0.335762   0.136176 -2.4656 0.0140392 *        
                fesisCHN.2002   0.660596   0.191445  3.4506 0.0006108 ***      
                fesisDEU.2007   0.708538   0.129033  5.4911 6.603e-08 ***      
                fesisDNK.2012  -0.963900   0.230075 -4.1895 3.350e-05 ***      
                fesisDNK.2015   0.765818   0.248305  3.0842 0.0021634 **       
                fesisESP.2013   0.365488   0.131377  2.7820 0.0056239 **       
                fesisFIN.2003  -0.344268   0.138409 -2.4873 0.0132228 *        
                fesisISR.2002  -0.764570   0.163083 -4.6882 3.632e-06 ***      
                fesisKOR.2003   0.784395   0.143230  5.4765 7.138e-08 ***      
                fesisNLD.2009  -0.785737   0.125419 -6.2649 8.552e-10 ***      
                fesisNOR.2006  -0.749953   0.178452 -4.2025 3.169e-05 ***      
                fesisNOR.2010   0.601075   0.181318  3.3150 0.0009885 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value      
                Ljung-Box AR(1)   1.7089  1  0.1911      
                Ljung-Box ARCH(1) 1.4352  1  0.2309      
                                                
                SE of regression   0.29662      
                R-squared          0.97935      
                Log-lik.(n=546)  -69.18020      

AR 1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 09:51:51 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.222860  0.037591  5.9285 6.014e-09 ***      
                lgdp           1.550404  0.141551 10.9529 < 2.2e-16 ***      
                lpop          -3.132287  0.503740 -6.2181 1.133e-09 ***      
                idAUT         -0.609808  0.449993 -1.3551 0.1760366          
                idBEL         -0.300836  0.343292 -0.8763 0.3813100          
                idCAN          2.228091  0.254262  8.7630 < 2.2e-16 ***      
                idCHE         -1.459989  0.488022 -2.9916 0.0029242 **       
                idCHN          9.988056  1.983093  5.0366 6.823e-07 ***      
                idDEU          5.398806  0.721893  7.4787 3.847e-13 ***      
                idDNK         -4.417461  0.711075 -6.2124 1.171e-09 ***      
                idESP          2.475606  0.392547  6.3065 6.716e-10 ***      
                idFIN         -1.764062  0.663062 -2.6605 0.0080763 **       
                idFRA          4.569451  0.572017  7.9883 1.113e-14 ***      
                idGBR          4.259979  0.557034  7.6476 1.212e-13 ***      
                idISR         -2.408230  0.526532 -4.5738 6.171e-06 ***      
                idITA          3.343381  0.516286  6.4758 2.430e-10 ***      
                idJPN          0.407947  0.965996  0.4223 0.6729982          
                idKOR         -4.840833  0.843170 -5.7412 1.711e-08 ***      
                idNLD          0.942316  0.178777  5.2709 2.093e-07 ***      
                idNOR         -6.412326  0.808151 -7.9346 1.630e-14 ***      
                idRUS          0.433791  0.947092  0.4580 0.6471523          
                idSWE         -3.986389  0.485731 -8.2070 2.310e-15 ***      
                idUSA          7.702628  1.294125  5.9520 5.266e-09 ***      
                time1996      10.542619  7.932872  1.3290 0.1845152          
                time1997      10.812432  7.935123  1.3626 0.1736754          
                time1998      10.533779  7.938583  1.3269 0.1851984          
                time1999      10.678963  7.941192  1.3448 0.1793683          
                time2000      10.895711  7.945284  1.3713 0.1709380          
                time2001      10.790181  7.949429  1.3574 0.1753361          
                time2002      10.584433  7.952897  1.3309 0.1838858          
                time2003      10.755376  7.955556  1.3519 0.1770627          
                time2004      10.671164  7.958967  1.3408 0.1806575          
                time2005      10.872979  7.962218  1.3656 0.1727422          
                time2006      10.856731  7.968831  1.3624 0.1737400          
                time2007      10.963511  7.975385  1.3747 0.1699049          
                time2008      10.973705  7.979609  1.3752 0.1697346          
                time2009      11.240656  7.983566  1.4080 0.1598156          
                time2010      11.405485  7.987708  1.4279 0.1540066          
                time2011      11.462872  7.991521  1.4344 0.1521450          
                time2012      11.487347  7.995740  1.4367 0.1514892          
                time2013      11.560900  7.998944  1.4453 0.1490551          
                time2014      11.442602  8.002655  1.4299 0.1534402          
                time2015      11.463513  8.006864  1.4317 0.1529072          
                time2016      11.582998  8.010243  1.4460 0.1488531          
                time2017      11.714949  8.013946  1.4618 0.1444748          
                time2018      11.817704  8.017568  1.4740 0.1411735          
                time2019      11.654887  8.017614  1.4537 0.1467239          
                time2020      11.816289  8.021561  1.4731 0.1414186          
                iis55         -1.353399  0.327061 -4.1381 4.167e-05 ***      
                iis102        -1.965254  0.327821 -5.9949 4.125e-09 ***      
                iis108        -1.067373  0.328012 -3.2541 0.0012217 **       
                iis126        -1.129701  0.340361 -3.3191 0.0009749 ***      
                iis177        -1.956907  0.361521 -5.4130 1.001e-07 ***      
                iis181        -1.222285  0.336752 -3.6296 0.0003158 ***      
                iis313         1.280497  0.327120  3.9145 0.0001043 ***      
                iis324        -1.236820  0.334304 -3.6997 0.0002420 ***      
                iis436        -1.079106  0.327366 -3.2963 0.0010555 **       
                iis479         1.202945  0.326941  3.6794 0.0002615 ***      
                fesisAUT.2009  0.715967  0.133498  5.3631 1.299e-07 ***      
                fesisDEU.2006  0.434324  0.139976  3.1028 0.0020350 **       
                fesisDNK.2001 -0.712993  0.191009 -3.7328 0.0002132 ***      
                fesisDNK.2012 -1.308959  0.249568 -5.2449 2.392e-07 ***      
                fesisDNK.2014  1.053631  0.256817  4.1026 4.833e-05 ***      
                fesisNLD.2007 -0.663443  0.134298 -4.9401 1.096e-06 ***      
                fesisRUS.2007 -0.534140  0.160850 -3.3207 0.0009694 ***      
                fesisRUS.2015 -0.839067  0.177440 -4.7287 3.011e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                      Chi-sq df p-value      
                Ljung-Box AR(1)   0.38245114  1  0.5363      
                Ljung-Box ARCH(1) 0.00011111  1  0.9916      
                                                 
                SE of regression    0.31236      
                R-squared           0.97627      
                Log-lik.(n=525)  -101.05326      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 09:51:47 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.252562  0.036147  6.9871 1.035e-11 ***      
                lgdp           1.373266  0.131925 10.4094 < 2.2e-16 ***      
                lpop          -2.433394  0.539282 -4.5123 8.227e-06 ***      
                idAUT         -0.264350  0.493082 -0.5361 0.5921470          
                idBEL         -0.045097  0.372304 -0.1211 0.9036440          
                idCAN          1.868058  0.262476  7.1171 4.471e-12 ***      
                idCHE         -0.983808  0.532082 -1.8490 0.0651272 .        
                idCHN          7.573300  2.153655  3.5165 0.0004824 ***      
                idDEU          4.489746  0.764836  5.8702 8.542e-09 ***      
                idDNK         -3.631008  0.757795 -4.7915 2.262e-06 ***      
                idESP          1.880434  0.412037  4.5638 6.516e-06 ***      
                idFIN         -1.612825  0.757740 -2.1285 0.0338496 *        
                idFRA          3.764659  0.604777  6.2249 1.119e-09 ***      
                idGBR          3.462924  0.588825  5.8811 8.038e-09 ***      
                idISR         -1.685524  0.610200 -2.7622 0.0059793 **       
                idITA          2.611208  0.549349  4.7533 2.710e-06 ***      
                idJPN          0.013461  1.024735  0.0131 0.9895252          
                idKOR         -4.674713  0.818818 -5.7091 2.083e-08 ***      
                idNLD          0.912885  0.181892  5.0188 7.543e-07 ***      
                idNOR         -5.303345  0.848904 -6.2473 9.811e-10 ***      
                idRUS         -1.107056  1.092975 -1.0129 0.3116688          
                idSWE         -3.282160  0.500839 -6.5533 1.567e-10 ***      
                idUSA          6.119668  1.396766  4.3813 1.474e-05 ***      
                time1996       3.761078  8.721057  0.4313 0.6664862          
                time1997       3.949487  8.725360  0.4526 0.6510262          
                time1998       3.643116  8.728780  0.4174 0.6766112          
                time1999       3.868806  8.732428  0.4430 0.6579538          
                time2000       4.068161  8.736406  0.4657 0.6416905          
                time2001       3.962262  8.740051  0.4533 0.6505220          
                time2002       3.761295  8.744120  0.4302 0.6672947          
                time2003       3.984289  8.747693  0.4555 0.6489962          
                time2004       3.868548  8.752173  0.4420 0.6586976          
                time2005       3.993018  8.755476  0.4561 0.6485707          
                time2006       4.010900  8.761192  0.4578 0.6473185          
                time2007       4.111358  8.767637  0.4689 0.6393544          
                time2008       4.119395  8.770034  0.4697 0.6387915          
                time2009       4.439715  8.773231  0.5061 0.6130716          
                time2010       4.561774  8.777446  0.5197 0.6035215          
                time2011       4.584092  8.779212  0.5222 0.6018247          
                time2012       4.585467  8.782934  0.5221 0.6018698          
                time2013       4.678330  8.786599  0.5324 0.5946887          
                time2014       4.581677  8.789572  0.5213 0.6024441          
                time2015       4.557165  8.794678  0.5182 0.6045962          
                time2016       4.676267  8.798431  0.5315 0.5953465          
                time2017       4.762423  8.801468  0.5411 0.5887147          
                time2018       4.901978  8.805582  0.5567 0.5780205          
                time2019       4.735716  8.807374  0.5377 0.5910549          
                time2020       4.890134  8.810061  0.5551 0.5791321          
                iis9          -0.810761  0.296357 -2.7358 0.0064737 **       
                iis55         -1.393080  0.295408 -4.7158 3.231e-06 ***      
                iis58         -0.965681  0.294704 -3.2768 0.0011325 **       
                iis102        -1.890569  0.295493 -6.3980 4.009e-10 ***      
                iis103         0.734434  0.302678  2.4264 0.0156455 *        
                iis108        -1.111698  0.295741 -3.7590 0.0001934 ***      
                iis126        -1.273986  0.309055 -4.1222 4.481e-05 ***      
                iis155        -0.667008  0.304482 -2.1906 0.0289991 *        
                iis176         0.695534  0.335562  2.0727 0.0387739 *        
                iis177        -1.781333  0.337544 -5.2773 2.056e-07 ***      
                iis181        -1.154353  0.298197 -3.8711 0.0001246 ***      
                iis192        -0.958628  0.296407 -3.2342 0.0013113 **       
                iis193        -1.405019  0.298083 -4.7135 3.266e-06 ***      
                iis313         1.174613  0.302550  3.8824 0.0001192 ***      
                iis324        -1.271195  0.304747 -4.1713 3.645e-05 ***      
                iis414        -0.802593  0.299405 -2.6806 0.0076227 **       
                iis430         0.992274  0.295951  3.3528 0.0008686 ***      
                iis436        -1.034706  0.295540 -3.5011 0.0005104 ***      
                iis444        -0.877306  0.295183 -2.9721 0.0031191 **       
                iis447         0.887146  0.295380  3.0034 0.0028210 **       
                iis460         0.825640  0.305265  2.7047 0.0071008 **       
                iis479         1.176930  0.294210  4.0003 7.412e-05 ***      
                fesisAUT.2009  0.704942  0.121152  5.8186 1.139e-08 ***      
                fesisDEU.2006  0.403449  0.132432  3.0465 0.0024538 **       
                fesisDNK.2001 -0.619107  0.182722 -3.3882 0.0007663 ***      
                fesisFIN.1997  1.244776  0.354652  3.5098 0.0004943 ***      
                fesisFIN.1999 -0.846241  0.214637 -3.9427 9.363e-05 ***      
                fesisISR.2009 -0.697244  0.226664 -3.0761 0.0022271 **       
                fesisISR.2011  0.594820  0.230025  2.5859 0.0100307 *        
                fesisKOR.2004  0.446440  0.130783  3.4136 0.0007001 ***      
                fesisNLD.2007 -0.565526  0.123198 -4.5904 5.771e-06 ***      
                fesisRUS.1997  0.780290  0.308011  2.5333 0.0116427 *        
                fesisRUS.2007 -0.442798  0.152343 -2.9066 0.0038373 **       
                fesisRUS.2015 -0.761057  0.160024 -4.7559 2.677e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value      
                Ljung-Box AR(1)   0.038299  1  0.8448      
                Ljung-Box ARCH(1) 0.669981  1  0.4131      
                                                
                SE of regression   0.28099      
                R-squared          0.98147      
                Log-lik.(n=525)  -37.48580      

without IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 09:53:11 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.6716e-12  9.9620e-14  26.8184 < 2.2e-16 ***      
                pop            4.9294e-06  3.8828e-07  12.6955 < 2.2e-16 ***      
                idAUT          7.7837e+01  1.3655e+01   5.7001 2.093e-08 ***      
                idBEL          5.2025e+01  1.3336e+01   3.9010 0.0001094 ***      
                idCAN         -3.1234e+01  1.3495e+01  -2.3144 0.0210650 *        
                idCHE          7.2355e+01  1.3747e+01   5.2633 2.138e-07 ***      
                idCHN         -5.9280e+03  4.6622e+02 -12.7151 < 2.2e-16 ***      
                idDEU         -2.4320e+02  2.9762e+01  -8.1715 2.726e-15 ***      
                idDNK          7.0820e+01  1.4104e+01   5.0214 7.246e-07 ***      
                idESP         -1.1529e+02  1.5459e+01  -7.4581 4.141e-13 ***      
                idFIN          7.7200e+01  1.4132e+01   5.4629 7.533e-08 ***      
                idFRA         -1.3565e+02  2.0791e+01  -6.5242 1.738e-10 ***      
                idGBR         -1.6446e+02  2.0222e+01  -8.1329 3.608e-15 ***      
                idISR          7.3649e+01  1.3808e+01   5.3338 1.485e-07 ***      
                idITA         -1.7785e+02  1.9223e+01  -9.2519 < 2.2e-16 ***      
                idJPN         -1.2301e+03  6.5644e+01 -18.7395 < 2.2e-16 ***      
                idKOR         -2.0895e+03  7.8737e+01 -26.5385 < 2.2e-16 ***      
                idNLD          2.6567e+01  1.2826e+01   2.0713 0.0388662 *        
                idNOR          7.1321e+01  1.4227e+01   5.0131 7.547e-07 ***      
                idRUS         -7.9130e+02  4.9568e+01 -15.9639 < 2.2e-16 ***      
                idSWE          5.4125e+01  1.3524e+01   4.0020 7.275e-05 ***      
                idUSA         -1.0244e+03  1.0558e+02  -9.7024 < 2.2e-16 ***      
                time1995      -9.2317e+01  1.5144e+01  -6.0957 2.240e-09 ***      
                time1996      -1.0112e+02  1.5284e+01  -6.6160 9.873e-11 ***      
                time1997      -1.0444e+02  1.5435e+01  -6.7666 3.853e-11 ***      
                time1998      -8.9300e+01  1.5097e+01  -5.9151 6.310e-09 ***      
                time1999      -1.0396e+02  1.5206e+01  -6.8369 2.468e-11 ***      
                time2000      -9.4552e+01  1.5476e+01  -6.1096 2.066e-09 ***      
                time2001      -9.1649e+01  1.5506e+01  -5.9105 6.477e-09 ***      
                time2002      -1.0988e+02  1.5614e+01  -7.0374 6.797e-12 ***      
                time2003      -1.1625e+02  1.5732e+01  -7.3894 6.594e-13 ***      
                time2004      -1.1485e+02  1.5851e+01  -7.2459 1.726e-12 ***      
                time2005      -1.1057e+02  1.5308e+01  -7.2231 2.007e-12 ***      
                time2006      -1.1219e+02  1.5507e+01  -7.2350 1.854e-12 ***      
                time2007      -1.0845e+02  1.5593e+01  -6.9554 1.156e-11 ***      
                time2008      -1.1604e+02  1.5706e+01  -7.3880 6.658e-13 ***      
                time2009      -1.0369e+02  1.5944e+01  -6.5034 1.975e-10 ***      
                time2010      -8.7937e+01  1.6049e+01  -5.4794 6.903e-08 ***      
                time2011      -8.0466e+01  1.6081e+01  -5.0039 7.900e-07 ***      
                time2012      -1.0040e+02  1.5938e+01  -6.2994 6.762e-10 ***      
                time2013      -9.0541e+01  1.6068e+01  -5.6347 2.992e-08 ***      
                time2014      -1.0629e+02  1.6224e+01  -6.5511 1.474e-10 ***      
                time2015      -1.1014e+02  1.6381e+01  -6.7237 5.045e-11 ***      
                time2016      -9.6656e+01  1.6515e+01  -5.8528 8.965e-09 ***      
                time2017      -9.9447e+01  1.6095e+01  -6.1786 1.381e-09 ***      
                time2018      -8.5495e+01  1.6202e+01  -5.2770 1.992e-07 ***      
                time2019      -8.7764e+01  1.6303e+01  -5.3832 1.147e-07 ***      
                time2020      -7.0561e+01  1.6381e+01  -4.3074 2.004e-05 ***      
                fesisCHN.1998 -2.5940e+02  3.8102e+01  -6.8082 2.962e-11 ***      
                fesisCHN.2005 -1.9907e+02  3.5555e+01  -5.5990 3.634e-08 ***      
                fesisCHN.2017  4.6116e+02  3.5538e+01  12.9767 < 2.2e-16 ***      
                fesisDEU.2005  8.8749e+01  2.7781e+01   3.1945 0.0014927 **       
                fesisDEU.2009  3.6141e+02  2.7150e+01  13.3117 < 2.2e-16 ***      
                fesisJPN.1999  2.5377e+02  2.9472e+01   8.6106 < 2.2e-16 ***      
                fesisJPN.2006  1.7525e+02  3.2625e+01   5.3715 1.220e-07 ***      
                fesisJPN.2009  3.7374e+02  5.4234e+01   6.8912 1.746e-11 ***      
                fesisJPN.2010  6.4746e+02  6.6282e+01   9.7682 < 2.2e-16 ***      
                fesisJPN.2011  4.1150e+02  5.7389e+01   7.1703 2.847e-12 ***      
                fesisJPN.2013 -3.7322e+02  4.0650e+01  -9.1812 < 2.2e-16 ***      
                fesisJPN.2017  4.4006e+02  4.0657e+01  10.8238 < 2.2e-16 ***      
                fesisJPN.2019 -5.1523e+02  4.6884e+01 -10.9895 < 2.2e-16 ***      
                fesisKOR.2000 -3.6175e+02  5.3417e+01  -6.7722 3.718e-11 ***      
                fesisKOR.2001 -2.6740e+02  5.3518e+01  -4.9965 8.192e-07 ***      
                fesisKOR.2006 -3.4991e+02  4.4379e+01  -7.8846 2.141e-14 ***      
                fesisKOR.2015 -3.7773e+02  4.2929e+01  -8.7990 < 2.2e-16 ***      
                fesisUSA.2012  3.9399e+02  2.2525e+01  17.4914 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   11.370  1 0.0007466 ***      
                Ljung-Box ARCH(1) 58.345  1 2.198e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    45.72675      
                R-squared            0.98989      
                Log-lik.(n=546)  -2828.92557      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 09:53:10 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.5867e-12  1.6411e-13  15.7621 < 2.2e-16 ***      
                pop            5.9312e-06  4.6919e-07  12.6414 < 2.2e-16 ***      
                idAUT          9.0814e+01  1.3072e+01   6.9473 1.232e-11 ***      
                idBEL          6.2587e+01  1.2582e+01   4.9743 9.169e-07 ***      
                idCAN         -4.3123e+01  1.2829e+01  -3.3615 0.0008378 ***      
                idCHE          8.5977e+01  1.3212e+01   6.5076 1.942e-10 ***      
                idCHN         -7.1635e+03  5.6555e+02 -12.6664 < 2.2e-16 ***      
                idDEU         -3.0390e+02  3.3368e+01  -9.1074 < 2.2e-16 ***      
                idDNK          8.6766e+01  1.3752e+01   6.3091 6.434e-10 ***      
                idESP         -1.3813e+02  1.5737e+01  -8.7777 < 2.2e-16 ***      
                idFIN          9.3191e+01  1.3790e+01   6.7577 4.117e-11 ***      
                idFRA         -1.7812e+02  2.3016e+01  -7.7389 6.078e-14 ***      
                idGBR         -2.0509e+02  2.2264e+01  -9.2114 < 2.2e-16 ***      
                idISR          8.7698e+01  1.3305e+01   6.5915 1.160e-10 ***      
                idITA         -2.1511e+02  2.0933e+01 -10.2761 < 2.2e-16 ***      
                idJPN         -1.2937e+03  9.1635e+01 -14.1176 < 2.2e-16 ***      
                idKOR         -2.0489e+03  1.2535e+02 -16.3464 < 2.2e-16 ***      
                idNLD          3.1446e+01  1.1784e+01   2.6686 0.0078772 **       
                idNOR          8.8037e+01  1.3939e+01   6.3157 6.188e-10 ***      
                idRUS         -8.7857e+02  6.0257e+01 -14.5804 < 2.2e-16 ***      
                idSWE          6.6378e+01  1.2880e+01   5.1534 3.759e-07 ***      
                idUSA         -1.2919e+03  1.2692e+02 -10.1787 < 2.2e-16 ***      
                time1995      -1.1091e+02  1.4787e+01  -7.5005 3.150e-13 ***      
                time1996      -1.2029e+02  1.4979e+01  -8.0311 7.677e-15 ***      
                time1997      -1.2425e+02  1.5195e+01  -8.1772 2.671e-15 ***      
                time1998      -1.2245e+02  1.5436e+01  -7.9332 1.545e-14 ***      
                time1999      -1.2516e+02  1.5037e+01  -8.3233 9.170e-16 ***      
                time2000      -1.1513e+02  1.5295e+01  -7.5273 2.623e-13 ***      
                time2001      -1.2544e+02  1.5471e+01  -8.1081 4.409e-15 ***      
                time2002      -1.3176e+02  1.5648e+01  -8.4206 4.464e-16 ***      
                time2003      -1.2910e+02  1.5224e+01  -8.4802 2.865e-16 ***      
                time2004      -1.2802e+02  1.5384e+01  -8.3216 9.287e-16 ***      
                time2005      -1.2546e+02  1.5652e+01  -8.0157 8.575e-15 ***      
                time2006      -1.4443e+02  1.5874e+01  -9.0988 < 2.2e-16 ***      
                time2007      -1.3110e+02  1.6047e+01  -8.1700 2.815e-15 ***      
                time2008      -1.3916e+02  1.6226e+01  -8.5759 < 2.2e-16 ***      
                time2009      -1.2714e+02  1.6506e+01  -7.7024 7.840e-14 ***      
                time2010      -1.0133e+02  1.5966e+01  -6.3466 5.145e-10 ***      
                time2011      -1.0527e+02  1.6083e+01  -6.5457 1.538e-10 ***      
                time2012      -1.2408e+02  1.5848e+01  -7.8293 3.224e-14 ***      
                time2013      -1.1455e+02  1.6037e+01  -7.1427 3.459e-12 ***      
                time2014      -1.2204e+02  1.6346e+01  -7.4661 3.982e-13 ***      
                time2015      -1.2997e+02  1.6484e+01  -7.8846 2.181e-14 ***      
                time2016      -1.1689e+02  1.6654e+01  -7.0187 7.771e-12 ***      
                time2017      -1.1942e+02  1.6285e+01  -7.3327 9.797e-13 ***      
                time2018      -1.0572e+02  1.6432e+01  -6.4339 3.040e-10 ***      
                time2019      -1.0820e+02  1.6578e+01  -6.5268 1.727e-10 ***      
                time2020      -9.1520e+01  1.6690e+01  -5.4837 6.780e-08 ***      
                fesisCHN.1999 -2.5663e+02  3.6156e+01  -7.0977 4.646e-12 ***      
                fesisCHN.2003 -1.9867e+02  3.3209e+01  -5.9826 4.327e-09 ***      
                fesisCHN.2010 -1.3217e+02  3.3296e+01  -3.9697 8.310e-05 ***      
                fesisCHN.2017  4.4634e+02  3.2931e+01  13.5535 < 2.2e-16 ***      
                fesisDEU.2005  9.0457e+01  2.5345e+01   3.5690 0.0003947 ***      
                fesisDEU.2009  3.5925e+02  2.4759e+01  14.5098 < 2.2e-16 ***      
                fesisJPN.1999  2.5113e+02  2.6971e+01   9.3112 < 2.2e-16 ***      
                fesisJPN.2006  1.8358e+02  2.9976e+01   6.1242 1.912e-09 ***      
                fesisJPN.2009  3.6844e+02  4.9589e+01   7.4298 5.093e-13 ***      
                fesisJPN.2010  6.3909e+02  6.0463e+01  10.5699 < 2.2e-16 ***      
                fesisJPN.2011  4.2299e+02  5.2329e+01   8.0833 5.274e-15 ***      
                fesisJPN.2013 -3.7529e+02  3.7151e+01 -10.1015 < 2.2e-16 ***      
                fesisJPN.2017  4.4211e+02  3.7097e+01  11.9176 < 2.2e-16 ***      
                fesisJPN.2019 -5.1523e+02  4.2769e+01 -12.0468 < 2.2e-16 ***      
                fesisKOR.2000 -3.8155e+02  4.5294e+01  -8.4238 4.361e-16 ***      
                fesisKOR.2002 -2.5713e+02  4.4747e+01  -5.7464 1.631e-08 ***      
                fesisKOR.2005 -1.7195e+02  4.4010e+01  -3.9070 0.0001070 ***      
                fesisKOR.2007 -2.0675e+02  4.5176e+01  -4.5765 6.044e-06 ***      
                fesisKOR.2011  2.2262e+02  4.3655e+01   5.0994 4.930e-07 ***      
                fesisKOR.2014 -1.8282e+02  5.1640e+01  -3.5403 0.0004391 ***      
                fesisKOR.2015 -3.0054e+02  5.2933e+01  -5.6778 2.378e-08 ***      
                fesisRUS.2010 -7.2078e+01  1.7789e+01  -4.0517 5.938e-05 ***      
                fesisUSA.2012  3.6037e+02  2.2642e+01  15.9160 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value          
                Ljung-Box AR(1)    0.1476  1  0.7008          
                Ljung-Box ARCH(1) 85.3971  1  <2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    41.65989      
                R-squared            0.99169      
                Log-lik.(n=546)  -2775.56867      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 09:53:07 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.2776e-01  1.4839e-02  62.5231 < 2.2e-16 ***      
                gdp           -1.1762e-15  3.7993e-14  -0.0310 0.9753161          
                pop            5.6270e-07  1.3173e-07   4.2717 2.363e-05 ***      
                idAUT          9.5761e+00  7.5738e+00   1.2644 0.2067393          
                idBEL          5.4156e+00  7.4897e+00   0.7231 0.4700050          
                idCAN         -4.4127e+00  7.5004e+00  -0.5883 0.5566049          
                idCHE          7.8167e+00  7.5827e+00   1.0309 0.3031480          
                idCHN         -6.9378e+02  1.6862e+02  -4.1143 4.608e-05 ***      
                idDEU          6.2127e+00  1.0428e+01   0.5958 0.5516130          
                idDNK          7.6990e+00  7.6446e+00   1.0071 0.3144082          
                idESP         -1.3718e+01  7.9551e+00  -1.7244 0.0853174 .        
                idFIN          8.1411e+00  7.6537e+00   1.0637 0.2880353          
                idFRA         -1.1869e+01  9.0534e+00  -1.3110 0.1905029          
                idGBR         -1.6789e+01  8.9953e+00  -1.8664 0.0626209 .        
                idISR          7.5261e+00  7.5947e+00   0.9910 0.3222215          
                idITA         -2.0486e+01  8.8167e+00  -2.3236 0.0205867 *        
                idJPN          7.3853e+00  2.7109e+01   0.2724 0.7854119          
                idKOR          2.4578e+01  3.8905e+01   0.6318 0.5278598          
                idNLD          2.0005e+00  7.3878e+00   0.2708 0.7866765          
                idNOR          8.2601e+00  7.6682e+00   1.0772 0.2819665          
                idRUS         -7.0082e+01  1.8150e+01  -3.8613 0.0001291 ***      
                idSWE          7.4162e+00  7.5290e+00   0.9850 0.3251420          
                idUSA         -8.6750e+01  3.5471e+01  -2.4457 0.0148360 *        
                time1996      -1.3530e+01  7.9624e+00  -1.6993 0.0899470 .        
                time1997      -1.0248e+01  7.9803e+00  -1.2842 0.1997323          
                time1998      -1.6909e+01  7.9952e+00  -2.1149 0.0349829 *        
                time1999      -1.3102e+01  8.0524e+00  -1.6271 0.1043998          
                time2000      -1.7194e+01  8.0512e+00  -2.1357 0.0332397 *        
                time2001      -1.4129e+01  8.0846e+00  -1.7476 0.0811981 .        
                time2002      -1.9494e+01  8.1159e+00  -2.4019 0.0167083 *        
                time2003      -1.8762e+01  8.1317e+00  -2.3073 0.0214848 *        
                time2004      -7.7802e+00  8.1592e+00  -0.9535 0.3408181          
                time2005      -1.0600e+01  8.1583e+00  -1.2993 0.1945131          
                time2006      -1.7462e+01  8.1718e+00  -2.1369 0.0331372 *        
                time2007      -8.2789e+00  8.3011e+00  -0.9973 0.3191356          
                time2008      -1.2778e+01  8.3160e+00  -1.5365 0.1250994          
                time2009       4.1525e+00  8.3819e+00   0.4954 0.6205496          
                time2010       3.6739e+00  8.3344e+00   0.4408 0.6595572          
                time2011      -1.0166e+01  8.3125e+00  -1.2229 0.2219863          
                time2012      -1.2019e+01  8.3312e+00  -1.4427 0.1497960          
                time2013      -4.2841e+00  8.3580e+00  -0.5126 0.6084934          
                time2014      -1.2401e+01  8.3633e+00  -1.4827 0.1388326          
                time2015      -1.9439e+01  8.4021e+00  -2.3136 0.0211357 *        
                time2016      -5.0648e+00  8.2452e+00  -0.6143 0.5393396          
                time2017       7.1592e+00  8.3092e+00   0.8616 0.3893578          
                time2018      -4.2610e+00  8.3076e+00  -0.5129 0.6082678          
                time2019      -1.8745e+01  8.3236e+00  -2.2520 0.0247986 *        
                time2020      -9.3234e+00  8.4792e+00  -1.0996 0.2721026          
                fesisCHN.2016  1.6134e+02  1.8244e+01   8.8436 < 2.2e-16 ***      
                fesisJPN.1999  1.5496e+02  2.4435e+01   6.3416 5.480e-10 ***      
                fesisJPN.2001 -2.2650e+02  2.6813e+01  -8.4473 4.027e-16 ***      
                fesisJPN.2003  1.3095e+02  2.3100e+01   5.6687 2.555e-08 ***      
                fesisJPN.2007  1.2396e+02  2.9893e+01   4.1466 4.025e-05 ***      
                fesisJPN.2008 -2.5496e+02  3.7790e+01  -6.7467 4.600e-11 ***      
                fesisJPN.2009  3.6928e+02  3.7713e+01   9.7921 < 2.2e-16 ***      
                fesisJPN.2010  4.3873e+02  3.7890e+01  11.5790 < 2.2e-16 ***      
                fesisJPN.2011 -1.8898e+02  3.9061e+01  -4.8380 1.798e-06 ***      
                fesisJPN.2012 -5.1741e+02  3.8271e+01 -13.5196 < 2.2e-16 ***      
                fesisJPN.2013 -2.5956e+02  3.7730e+01  -6.8794 1.992e-11 ***      
                fesisJPN.2014  3.5157e+02  3.1086e+01  11.3098 < 2.2e-16 ***      
                fesisJPN.2017  3.6314e+02  3.0802e+01  11.7894 < 2.2e-16 ***      
                fesisJPN.2018 -2.6752e+02  3.8105e+01  -7.0205 8.060e-12 ***      
                fesisJPN.2019 -5.7715e+02  3.7716e+01 -15.3025 < 2.2e-16 ***      
                fesisJPN.2020  2.7993e+02  3.8368e+01   7.2958 1.327e-12 ***      
                fesisKOR.2009  2.5029e+02  2.2010e+01  11.3716 < 2.2e-16 ***      
                fesisKOR.2014 -3.6777e+02  2.3960e+01 -15.3494 < 2.2e-16 ***      
                fesisKOR.2016  2.5702e+02  2.3954e+01  10.7300 < 2.2e-16 ***      
                fesisKOR.2020  3.4111e+02  3.0001e+01  11.3700 < 2.2e-16 ***      
                fesisUSA.2020 -1.5961e+02  2.8051e+01  -5.6898 2.277e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df   p-value          
                Ljung-Box AR(1)    0.34986  1    0.5542          
                Ljung-Box ARCH(1) 29.00175  1 7.231e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    26.01212      
                R-squared            0.99687      
                Log-lik.(n=525)  -2421.18806      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 09:53:06 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.2010e-01  1.7027e-02  54.0368 < 2.2e-16 ***      
                gdp            1.9110e-14  3.4829e-14   0.5487   0.58350          
                pop            5.0563e-07  1.1873e-07   4.2588 2.502e-05 ***      
                idAUT          8.9194e+00  6.7658e+00   1.3183   0.18807          
                idBEL          4.8017e+00  6.6878e+00   0.7180   0.47314          
                idCAN         -3.5236e+00  6.7025e+00  -0.5257   0.59934          
                idCHE          7.0698e+00  6.7728e+00   1.0439   0.29711          
                idCHN         -6.2035e+02  1.5192e+02  -4.0834 5.250e-05 ***      
                idDEU          1.1703e+01  9.7135e+00   1.2049   0.22888          
                idDNK          6.7328e+00  6.8288e+00   0.9859   0.32469          
                idESP         -1.2436e+01  7.1119e+00  -1.7487   0.08103 .        
                idFIN          7.2042e+00  6.8367e+00   1.0538   0.29256          
                idFRA         -8.9142e+00  8.1291e+00  -1.0966   0.27341          
                idGBR         -1.4223e+01  8.0572e+00  -1.7652   0.07820 .        
                idISR          6.7565e+00  6.7838e+00   0.9960   0.31980          
                idITA         -1.8323e+01  7.8928e+00  -2.3215   0.02071 *        
                idJPN          7.6185e+00  2.4471e+01   0.3113   0.75570          
                idKOR          6.6444e+00  3.5387e+01   0.1878   0.85115          
                idNLD          1.7350e+00  6.5954e+00   0.2631   0.79262          
                idNOR          7.2312e+00  6.8506e+00   1.0556   0.29174          
                idRUS         -6.4464e+01  1.6293e+01  -3.9565 8.828e-05 ***      
                idSWE          6.6774e+00  6.7242e+00   0.9930   0.32122          
                idUSA         -7.9303e+01  3.1793e+01  -2.4943   0.01298 *        
                time1996      -1.2125e+01  7.1247e+00  -1.7019   0.08947 .        
                time1997      -8.8141e+00  7.1394e+00  -1.2346   0.21763          
                time1998      -1.5326e+01  7.1517e+00  -2.1430   0.03265 *        
                time1999      -1.1608e+01  7.2042e+00  -1.6113   0.10781          
                time2000      -1.5657e+01  7.1992e+00  -2.1748   0.03016 *        
                time2001      -1.2608e+01  7.2294e+00  -1.7440   0.08183 .        
                time2002      -1.8012e+01  7.2571e+00  -2.4820   0.01343 *        
                time2003      -1.7297e+01  7.2724e+00  -2.3784   0.01780 *        
                time2004      -6.3306e+00  7.2960e+00  -0.8677   0.38603          
                time2005      -9.0729e+00  7.2919e+00  -1.2442   0.21406          
                time2006      -1.5898e+01  7.3027e+00  -2.1770   0.03000 *        
                time2007      -6.7865e+00  7.4177e+00  -0.9149   0.36073          
                time2008      -1.1218e+01  7.4305e+00  -1.5097   0.13183          
                time2009       3.2818e+00  7.4884e+00   0.4383   0.66141          
                time2010       3.0008e+00  7.4651e+00   0.4020   0.68789          
                time2011      -2.9974e+00  7.4843e+00  -0.4005   0.68899          
                time2012      -4.7303e+00  7.5092e+00  -0.6299   0.52906          
                time2013      -1.6439e+01  7.6502e+00  -2.1488   0.03218 *        
                time2014      -1.0638e+01  7.4698e+00  -1.4242   0.15508          
                time2015      -1.7734e+01  7.5041e+00  -2.3633   0.01854 *        
                time2016      -3.7707e+00  7.3763e+00  -0.5112   0.60947          
                time2017       8.5940e+00  7.4237e+00   1.1577   0.24762          
                time2018      -2.5919e+00  7.4199e+00  -0.3493   0.72701          
                time2019      -1.6941e+01  7.4406e+00  -2.2768   0.02327 *        
                time2020      -7.5286e+00  7.5984e+00  -0.9908   0.32231          
                fesisCHN.2016  1.7124e+02  1.7908e+01   9.5623 < 2.2e-16 ***      
                fesisJPN.1999  1.5605e+02  2.1867e+01   7.1362 3.844e-12 ***      
                fesisJPN.2001 -2.2509e+02  2.4025e+01  -9.3691 < 2.2e-16 ***      
                fesisJPN.2003  1.3027e+02  2.0627e+01   6.3154 6.451e-10 ***      
                fesisJPN.2007  1.2487e+02  2.6737e+01   4.6704 3.970e-06 ***      
                fesisJPN.2008 -2.5351e+02  3.3785e+01  -7.5037 3.324e-13 ***      
                fesisJPN.2009  3.7161e+02  3.3688e+01  11.0310 < 2.2e-16 ***      
                fesisJPN.2010  4.4043e+02  3.3938e+01  12.9776 < 2.2e-16 ***      
                fesisJPN.2011 -1.9134e+02  3.5777e+01  -5.3481 1.415e-07 ***      
                fesisJPN.2012 -5.1414e+02  3.4493e+01 -14.9058 < 2.2e-16 ***      
                fesisJPN.2013 -2.4103e+02  3.3738e+01  -7.1441 3.651e-12 ***      
                fesisJPN.2014  3.3535e+02  2.7973e+01  11.9882 < 2.2e-16 ***      
                fesisJPN.2017  3.6338e+02  2.7502e+01  13.2127 < 2.2e-16 ***      
                fesisJPN.2018 -2.6471e+02  3.4249e+01  -7.7289 7.089e-14 ***      
                fesisJPN.2019 -5.7649e+02  3.3679e+01 -17.1171 < 2.2e-16 ***      
                fesisJPN.2020  2.7657e+02  3.4684e+01   7.9739 1.270e-14 ***      
                fesisKOR.2009  3.0028e+02  2.1896e+01  13.7143 < 2.2e-16 ***      
                fesisKOR.2011 -1.5254e+02  2.5231e+01  -6.0457 3.118e-09 ***      
                fesisKOR.2013  1.9485e+02  2.9408e+01   6.6257 9.852e-11 ***      
                fesisKOR.2014 -4.6328e+02  2.9426e+01 -15.7437 < 2.2e-16 ***      
                fesisKOR.2016  2.5349e+02  2.1467e+01  11.8083 < 2.2e-16 ***      
                fesisKOR.2020  3.4116e+02  2.6810e+01  12.7251 < 2.2e-16 ***      
                fesisUSA.2013  1.9584e+02  2.5129e+01   7.7934 4.526e-14 ***      
                fesisUSA.2014 -1.8028e+02  2.6005e+01  -6.9325 1.434e-11 ***      
                fesisUSA.2020 -1.5793e+02  2.5804e+01  -6.1203 2.027e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df  p-value          
                Ljung-Box AR(1)    0.29787  1   0.5852          
                Ljung-Box ARCH(1) 37.88085  1 7.52e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    23.22021      
                R-squared            0.99753      
                Log-lik.(n=525)  -2359.57972      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 09:53:11 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                lgdp           1.553494  0.167398  9.2802 < 2.2e-16 ***      
                lpop          -2.039240  0.622586 -3.2754 0.0011315 **       
                idAUT          0.389466  0.562401  0.6925 0.4889552          
                idBEL         -0.154590  0.429349 -0.3601 0.7189629          
                idCAN          2.088785  0.285274  7.3220 1.041e-12 ***      
                idCHE         -0.491688  0.655744 -0.7498 0.4537327          
                idCHN          5.404988  2.478049  2.1811 0.0296582 *        
                idDEU          4.482960  0.852789  5.2568 2.212e-07 ***      
                idDNK         -2.611241  0.875601 -2.9822 0.0030075 **       
                idESP          1.536637  0.487250  3.1537 0.0017134 **       
                idFIN         -0.076599  0.816538 -0.0938 0.9252994          
                idFRA          3.794387  0.675818  5.6145 3.344e-08 ***      
                idGBR          3.440367  0.664730  5.1756 3.349e-07 ***      
                idISR         -0.644178  0.737376 -0.8736 0.3827691          
                idITA          2.358127  0.631422  3.7346 0.0002106 ***      
                idJPN         -0.442934  1.236071 -0.3583 0.7202467          
                idKOR         -5.613753  1.060212 -5.2949 1.817e-07 ***      
                idNLD          1.318505  0.201586  6.5407 1.575e-10 ***      
                idNOR         -5.067841  0.968275 -5.2339 2.488e-07 ***      
                idRUS         -1.832045  1.204234 -1.5213 0.1288353          
                idSWE         -3.050589  0.583636 -5.2269 2.579e-07 ***      
                idUSA          5.691559  1.574519  3.6148 0.0003324 ***      
                time1995      -7.721600 10.034637 -0.7695 0.4419789          
                time1996      -7.686882 10.038562 -0.7657 0.4442109          
                time1997      -7.402222 10.043278 -0.7370 0.4614634          
                time1998      -7.543949 10.046341 -0.7509 0.4530725          
                time1999      -7.353047 10.050272 -0.7316 0.4647543          
                time2000      -7.210617 10.054606 -0.7171 0.4736338          
                time2001      -7.304486 10.058479 -0.7262 0.4680697          
                time2002      -7.480524 10.058759 -0.7437 0.4574331          
                time2003      -7.423063 10.063914 -0.7376 0.4611235          
                time2004      -7.471236 10.068596 -0.7420 0.4584307          
                time2005      -7.308819 10.074103 -0.7255 0.4684962          
                time2006      -7.309863 10.078549 -0.7253 0.4686288          
                time2007      -7.182880 10.087305 -0.7121 0.4767673          
                time2008      -7.155282 10.091111 -0.7091 0.4786274          
                time2009      -6.833303 10.094468 -0.6769 0.4987737          
                time2010      -6.632568 10.098968 -0.6568 0.5116526          
                time2011      -6.528449 10.102812 -0.6462 0.5184586          
                time2012      -6.485888 10.107615 -0.6417 0.5213857          
                time2013      -6.422310 10.111736 -0.6351 0.5256441          
                time2014      -6.482188 10.116091 -0.6408 0.5219722          
                time2015      -6.566142 10.120427 -0.6488 0.5167780          
                time2016      -6.458514 10.124845 -0.6379 0.5238516          
                time2017      -6.252837 10.130106 -0.6173 0.5373612          
                time2018      -6.116096 10.133938 -0.6035 0.5464444          
                time2019      -6.264161 10.135077 -0.6181 0.5368246          
                time2020      -6.087255 10.136609 -0.6005 0.5484426          
                fesisAUT.2009  0.931426  0.134052  6.9482 1.213e-11 ***      
                fesisBEL.2004  0.640463  0.139659  4.5859 5.777e-06 ***      
                fesisCHE.1997 -1.685019  0.409375 -4.1161 4.538e-05 ***      
                fesisCHE.1998  1.824393  0.341919  5.3357 1.471e-07 ***      
                fesisCHN.2002  0.743895  0.215205  3.4567 0.0005956 ***      
                fesisDEU.2007  0.701106  0.144803  4.8418 1.739e-06 ***      
                fesisDNK.1997 -1.233767  0.252529 -4.8856 1.408e-06 ***      
                fesisDNK.2012 -1.226787  0.212762 -5.7660 1.457e-08 ***      
                fesisDNK.2015  1.005531  0.236371  4.2540 2.526e-05 ***      
                fesisFIN.2003 -0.424872  0.146525 -2.8997 0.0039073 **       
                fesisISR.2002 -0.617788  0.195782 -3.1555 0.0017031 **       
                fesisISR.2008  1.437344  0.361470  3.9764 8.077e-05 ***      
                fesisISR.2009 -1.496006  0.353111 -4.2366 2.722e-05 ***      
                fesisISR.2019 -0.917559  0.263214 -3.4860 0.0005354 ***      
                fesisKOR.2003  0.899078  0.154351  5.8249 1.049e-08 ***      
                fesisNLD.2009 -0.840711  0.134476 -6.2517 8.990e-10 ***      
                fesisRUS.2005  0.809562  0.265755  3.0463 0.0024448 **       
                fesisRUS.2007 -1.190646  0.261548 -4.5523 6.737e-06 ***      
                fesisRUS.2017 -1.097974  0.199161 -5.5130 5.776e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   3.0784  1 0.07934 .      
                Ljung-Box ARCH(1) 2.0619  1 0.15102        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.32602      
                R-squared           0.97414      
                Log-lik.(n=546)  -129.28266      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 09:53:09 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 546       
                Sample: 1 to 546       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                lgdp            1.612777   0.163027  9.8927 < 2.2e-16 ***      
                lpop           -1.740075   0.624536 -2.7862 0.0055475 **       
                idAUT           0.762133   0.559553  1.3620 0.1738339          
                idBEL           0.151154   0.425912  0.3549 0.7228262          
                idCAN           2.563454   0.314525  8.1502 3.277e-15 ***      
                idCHE          -0.088753   0.654925 -0.1355 0.8922618          
                idCHN           4.049143   2.478072  1.6340 0.1029265          
                idDEU           4.038294   0.851629  4.7418 2.807e-06 ***      
                idDNK          -2.192049   0.878848 -2.4942 0.0129634 *        
                idESP           1.227107   0.488077  2.5142 0.0122622 *        
                idFIN           0.474425   0.813950  0.5829 0.5602602          
                idFRA           3.447560   0.676971  5.0926 5.109e-07 ***      
                idGBR           3.112751   0.666125  4.6729 3.877e-06 ***      
                idISR          -0.218196   0.739942 -0.2949 0.7682126          
                idITA           2.047626   0.632701  3.2363 0.0012957 **       
                idJPN          -1.324304   1.211208 -1.0934 0.2747858          
                idKOR          -6.226165   1.026452 -6.0657 2.692e-09 ***      
                idNLD           1.445239   0.197025  7.3353 9.684e-13 ***      
                idNOR          -4.513724   0.986830 -4.5740 6.121e-06 ***      
                idRUS          -2.621637   1.192424 -2.1986 0.0283915 *        
                idSWE          -2.856755   0.584651 -4.8863 1.409e-06 ***      
                idUSA           4.759174   1.573626  3.0243 0.0026273 **       
                time1995      -14.432115   9.974439 -1.4469 0.1485845          
                time1996      -14.400827   9.978241 -1.4432 0.1496196          
                time1997      -14.118062   9.982671 -1.4143 0.1579444          
                time1998      -14.237657   9.984807 -1.4259 0.1545476          
                time1999      -14.050707   9.988552 -1.4067 0.1601787          
                time2000      -13.912864   9.992653 -1.3923 0.1644829          
                time2001      -14.009869   9.996433 -1.4015 0.1617244          
                time2002      -14.181282   9.996653 -1.4186 0.1566733          
                time2003      -14.123342  10.001534 -1.4121 0.1585729          
                time2004      -14.174044  10.005902 -1.4166 0.1572674          
                time2005      -14.013560  10.011268 -1.3998 0.1622351          
                time2006      -13.967541  10.014313 -1.3948 0.1637435          
                time2007      -13.845586  10.022692 -1.3814 0.1678009          
                time2008      -13.818716  10.026407 -1.3782 0.1687832          
                time2009      -13.497751  10.029622 -1.3458 0.1790154          
                time2010      -13.324520  10.033203 -1.3280 0.1848045          
                time2011      -13.223621  10.036943 -1.3175 0.1883106          
                time2012      -13.184053  10.041592 -1.3129 0.1898383          
                time2013      -13.141187  10.045778 -1.3081 0.1914645          
                time2014      -13.204337  10.050061 -1.3139 0.1895314          
                time2015      -13.292680  10.054314 -1.3221 0.1867781          
                time2016      -13.188450  10.058648 -1.3112 0.1904415          
                time2017      -13.011701  10.063376 -1.2930 0.1966506          
                time2018      -12.878080  10.067115 -1.2792 0.2014459          
                time2019      -13.028872  10.068168 -1.2941 0.1962742          
                time2020      -12.850863  10.069945 -1.2762 0.2025252          
                fesisAUT.2009   0.931184   0.129296  7.2020 2.353e-12 ***      
                fesisBEL.2004   0.610999   0.134766  4.5338 7.350e-06 ***      
                fesisCAN.1998  -0.479097   0.218234 -2.1953 0.0286248 *        
                fesisCAN.2006  -0.333637   0.144450 -2.3097 0.0213340 *        
                fesisCHE.1997  -1.684256   0.393138 -4.2841 2.223e-05 ***      
                fesisCHE.1998   1.774451   0.328842  5.3961 1.079e-07 ***      
                fesisCHN.2002   0.653531   0.207403  3.1510 0.0017302 **       
                fesisDEU.2007   0.708067   0.139367  5.0806 5.425e-07 ***      
                fesisDNK.1997  -1.274724   0.242753 -5.2511 2.289e-07 ***      
                fesisDNK.2012  -1.219398   0.204663 -5.9581 4.989e-09 ***      
                fesisDNK.2015   1.029847   0.227119  4.5344 7.330e-06 ***      
                fesisESP.2013   0.374973   0.138770  2.7021 0.0071376 **       
                fesisFIN.2003  -0.448767   0.140976 -3.1833 0.0015520 **       
                fesisISR.2002  -0.689068   0.189408 -3.6380 0.0003050 ***      
                fesisISR.2008   1.384849   0.347352  3.9869 7.754e-05 ***      
                fesisISR.2009  -1.486946   0.339580 -4.3788 1.470e-05 ***      
                fesisISR.2019  -0.916729   0.253326 -3.6188 0.0003279 ***      
                fesisKOR.2003   0.848733   0.148463  5.7168 1.925e-08 ***      
                fesisNLD.2009  -0.839075   0.129660 -6.4714 2.431e-10 ***      
                fesisNOR.2006  -0.742942   0.188422 -3.9430 9.265e-05 ***      
                fesisNOR.2010   0.494557   0.202683  2.4400 0.0150514 *        
                fesisNOR.2017   0.476459   0.201877  2.3601 0.0186726 *        
                fesisRUS.2005   0.773268   0.255519  3.0263 0.0026109 **       
                fesisRUS.2007  -1.185410   0.251243 -4.7182 3.138e-06 ***      
                fesisRUS.2017  -1.040130   0.191577 -5.4293 9.059e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   0.28522  1  0.5933      
                Ljung-Box ARCH(1) 1.71178  1  0.1908      
                                                 
                SE of regression    0.31309      
                R-squared           0.97645      
                Log-lik.(n=546)  -104.18569      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 09:54:05 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1            0.1953800  0.0396549  4.9270 1.167e-06 ***      
                lgdp           1.6186961  0.1497456 10.8096 < 2.2e-16 ***      
                lpop          -2.5860711  0.6014403 -4.2998 2.089e-05 ***      
                idAUT          0.0043123  0.5524983  0.0078 0.9937759          
                idBEL         -0.0774005  0.4361021 -0.1775 0.8592076          
                idCAN          2.0157347  0.2950146  6.8327 2.653e-11 ***      
                idCHE         -0.7463212  0.6868212 -1.0866 0.2777690          
                idCHN          6.5060880  2.4331793  2.6739 0.0077642 **       
                idDEU          4.6676101  0.8565944  5.4490 8.269e-08 ***      
                idDNK         -3.0900478  0.8785238 -3.5173 0.0004792 ***      
                idESP          2.0913716  0.4601949  4.5445 7.046e-06 ***      
                idFIN         -0.8845463  0.8130086 -1.0880 0.2771687          
                idFRA          4.0069560  0.6770254  5.9185 6.357e-09 ***      
                idGBR          3.7100884  0.6587640  5.6319 3.107e-08 ***      
                idISR         -1.5528394  0.6768004 -2.2944 0.0222182 *        
                idITA          2.7988774  0.6142268  4.5567 6.665e-06 ***      
                idJPN         -0.8259780  1.1622794 -0.7107 0.4776591          
                idKOR         -5.6499642  0.9395625 -6.0134 3.706e-09 ***      
                idNLD          1.1561667  0.2054332  5.6279 3.175e-08 ***      
                idNOR         -5.7127683  0.9458297 -6.0400 3.183e-09 ***      
                idRUS         -0.8844351  1.1630968 -0.7604 0.4473967          
                idSWE         -3.5464395  0.5582435 -6.3529 5.087e-10 ***      
                idUSA          6.2050692  1.5645786  3.9660 8.475e-05 ***      
                time1996      -0.5342612  9.7818428 -0.0546 0.9564668          
                time1997      -0.2333677  9.7846361 -0.0239 0.9809823          
                time1998      -0.4958548  9.7882456 -0.0507 0.9596199          
                time1999      -0.2997103  9.7919263 -0.0306 0.9755955          
                time2000      -0.1504854  9.7966671 -0.0154 0.9877509          
                time2001      -0.2699423  9.8012742 -0.0275 0.9780397          
                time2002      -0.4822260  9.8055807 -0.0492 0.9607982          
                time2003      -0.3709671  9.8090442 -0.0378 0.9698485          
                time2004      -0.4073322  9.8132300 -0.0415 0.9669085          
                time2005      -0.2102293  9.8172029 -0.0214 0.9829244          
                time2006      -0.2806131  9.8243649 -0.0286 0.9772255          
                time2007      -0.1277948  9.8322522 -0.0130 0.9896354          
                time2008      -0.0577916  9.8371035 -0.0059 0.9953151          
                time2009       0.1697308  9.8373059  0.0173 0.9862416          
                time2010       0.3340021  9.8419773  0.0339 0.9729425          
                time2011       0.3930619  9.8461246  0.0399 0.9681739          
                time2012       0.4179418  9.8507621  0.0424 0.9661764          
                time2013       0.4865271  9.8547439  0.0494 0.9606460          
                time2014       0.3642112  9.8592076  0.0369 0.9705479          
                time2015       0.3781747  9.8643863  0.0383 0.9694353          
                time2016       0.4918258  9.8686122  0.0498 0.9602736          
                time2017       0.6219894  9.8728902  0.0630 0.9497941          
                time2018       0.7249569  9.8769323  0.0734 0.9415205          
                time2019       0.5034996  9.8805027  0.0510 0.9593804          
                time2020       0.7193991  9.8818365  0.0728 0.9419968          
                fesisAUT.2009  0.7471516  0.1405174  5.3171 1.648e-07 ***      
                fesisBEL.2000 -1.1341695  0.3761370 -3.0153 0.0027092 **       
                fesisBEL.2001  1.4149665  0.3451980  4.0990 4.905e-05 ***      
                fesisCHE.1997 -2.0401032  0.4768839 -4.2780 2.295e-05 ***      
                fesisCHE.1998  1.9021724  0.3445548  5.5207 5.653e-08 ***      
                fesisCHN.1997  1.0752819  0.3584737  2.9996 0.0028499 **       
                fesisDEU.2006  0.5007571  0.1491168  3.3582 0.0008498 ***      
                fesisDNK.1997 -2.5569569  0.4772189 -5.3580 1.333e-07 ***      
                fesisDNK.1998  1.6954103  0.3930789  4.3132 1.971e-05 ***      
                fesisDNK.2001 -1.6865020  0.3887026 -4.3388 1.762e-05 ***      
                fesisDNK.2002  1.2185689  0.3537655  3.4446 0.0006244 ***      
                fesisDNK.2012 -1.3334878  0.2621258 -5.0872 5.302e-07 ***      
                fesisDNK.2014  1.0706316  0.2697829  3.9685 8.389e-05 ***      
                fesisISR.2009 -0.4681355  0.1630907 -2.8704 0.0042885 **       
                fesisNLD.2007 -0.6770761  0.1410903 -4.7989 2.160e-06 ***      
                fesisRUS.2007 -0.5188794  0.1698241 -3.0554 0.0023783 **       
                fesisRUS.2015 -0.8248190  0.1865766 -4.4208 1.228e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   0.91079  1  0.3399      
                Ljung-Box ARCH(1) 0.22051  1  0.6387      
                                                 
                SE of regression    0.32813      
                R-squared           0.97376      
                Log-lik.(n=525)  -127.41058      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 09:54:02 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 525       
                Sample: 1 to 525       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1            0.2005472  0.0383183  5.2337 2.563e-07 ***      
                lgdp           1.4818460  0.1413131 10.4863 < 2.2e-16 ***      
                lpop          -2.2310345  0.5863197 -3.8052 0.0001615 ***      
                idAUT          0.1256142  0.5366091  0.2341 0.8150235          
                idBEL         -0.0015032  0.4187576 -0.0036 0.9971374          
                idCAN          1.8700679  0.2842084  6.5799 1.323e-10 ***      
                idCHE         -0.5799502  0.6582339 -0.8811 0.3787545          
                idCHN          5.2923765  2.3740826  2.2292 0.0262959 *        
                idDEU          4.2548943  0.8305605  5.1229 4.487e-07 ***      
                idDNK         -2.6517391  0.8458673 -3.1349 0.0018324 **       
                idESP          1.7809445  0.4478805  3.9764 8.162e-05 ***      
                idFIN         -1.0994666  0.8236563 -1.3349 0.1826029          
                idFRA          3.6487697  0.6565972  5.5571 4.727e-08 ***      
                idGBR          3.3422308  0.6394250  5.2269 2.653e-07 ***      
                idISR         -1.2293962  0.6601706 -1.8622 0.0632266 .        
                idITA          2.4535163  0.5974320  4.1068 4.774e-05 ***      
                idJPN         -0.6870187  1.1171652 -0.6150 0.5388908          
                idKOR         -5.3581983  0.8869579 -6.0411 3.231e-09 ***      
                idNLD          1.1280391  0.1955939  5.7672 1.508e-08 ***      
                idNOR         -5.0034251  0.9379774 -5.3343 1.529e-07 ***      
                idRUS         -1.8478779  1.1937382 -1.5480 0.1223374          
                idSWE         -3.0950775  0.5557980 -5.5687 4.441e-08 ***      
                idUSA          5.5673330  1.5203073  3.6620 0.0002803 ***      
                time1996      -2.6313960  9.5140476 -0.2766 0.7822307          
                time1997      -2.4453512  9.5187832 -0.2569 0.7973764          
                time1998      -2.7151813  9.5225169 -0.2851 0.7756748          
                time1999      -2.5283364  9.5275720 -0.2654 0.7908467          
                time2000      -2.3659855  9.5323520 -0.2482 0.8040894          
                time2001      -2.4286175  9.5366899 -0.2547 0.7991028          
                time2002      -2.6396390  9.5408725 -0.2767 0.7821644          
                time2003      -2.4699413  9.5443969 -0.2588 0.7959210          
                time2004      -2.5736287  9.5479901 -0.2695 0.7876337          
                time2005      -2.3745017  9.5517757 -0.2486 0.8037903          
                time2006      -2.3975132  9.5585322 -0.2508 0.8020654          
                time2007      -2.2877839  9.5651368 -0.2392 0.8110763          
                time2008      -2.2192375  9.5696973 -0.2319 0.8167200          
                time2009      -1.9829667  9.5715641 -0.2072 0.8359695          
                time2010      -1.8175290  9.5758539 -0.1898 0.8495496          
                time2011      -1.7859513  9.5781045 -0.1865 0.8521674          
                time2012      -1.7636991  9.5824025 -0.1841 0.8540531          
                time2013      -1.6955628  9.5862822 -0.1769 0.8596878          
                time2014      -1.8172758  9.5905004 -0.1895 0.8497973          
                time2015      -1.8029802  9.5954581 -0.1879 0.8510410          
                time2016      -1.6886706  9.5995632 -0.1759 0.8604436          
                time2017      -1.5577955  9.6035546 -0.1622 0.8712137          
                time2018      -1.4209140  9.6054967 -0.1479 0.8824671          
                time2019      -1.6424770  9.6087810 -0.1709 0.8643524          
                time2020      -1.4329511  9.6103776 -0.1491 0.8815385          
                fesisAUT.2009  0.7421501  0.1309131  5.6690 2.583e-08 ***      
                fesisBEL.2000 -1.1011987  0.3479313 -3.1650 0.0016571 **       
                fesisBEL.2001  1.3551202  0.3193435  4.2435 2.679e-05 ***      
                fesisCHE.1997 -1.9256891  0.4410022 -4.3666 1.570e-05 ***      
                fesisCHE.1998  2.0520130  0.3412714  6.0128 3.797e-09 ***      
                fesisCHE.2003 -1.1955425  0.3419225 -3.4965 0.0005186 ***      
                fesisCHE.2004  0.9975893  0.3207476  3.1102 0.0019895 **       
                fesisCHN.1997  1.2561314  0.3339288  3.7617 0.0001913 ***      
                fesisDEU.2006  0.5069278  0.1398598  3.6245 0.0003228 ***      
                fesisDNK.1997 -2.4427739  0.4412978 -5.5354 5.307e-08 ***      
                fesisDNK.1998  1.7154372  0.3636456  4.7173 3.202e-06 ***      
                fesisDNK.2001 -1.7491973  0.3590494 -4.8717 1.539e-06 ***      
                fesisDNK.2002  1.2145010  0.3266471  3.7181 0.0002263 ***      
                fesisDNK.2012 -1.3081270  0.2421579 -5.4020 1.075e-07 ***      
                fesisDNK.2014  1.0564215  0.2490324  4.2421 2.694e-05 ***      
                fesisFIN.1997  1.2109649  0.3824621  3.1662 0.0016501 **       
                fesisFIN.1999 -0.8262360  0.2321113 -3.5597 0.0004112 ***      
                fesisISR.2009 -0.7984496  0.2425580 -3.2918 0.0010746 **       
                fesisISR.2011  0.5794299  0.2523349  2.2963 0.0221231 *        
                fesisISR.2018 -0.7098626  0.2179453 -3.2571 0.0012116 **       
                fesisKOR.2004  0.4642725  0.1413288  3.2851 0.0011000 **       
                fesisNLD.2007 -0.6721151  0.1311147 -5.1262 4.414e-07 ***      
                fesisNOR.2000  0.9556451  0.3479683  2.7464 0.0062699 **       
                fesisNOR.2001 -1.0722026  0.3407092 -3.1470 0.0017602 **       
                fesisNOR.2006 -0.9615305  0.3404042 -2.8247 0.0049451 **       
                fesisNOR.2007  0.9683397  0.3229613  2.9983 0.0028665 **       
                fesisRUS.1997  0.8488681  0.3315529  2.5603 0.0107872 *        
                fesisRUS.2007 -0.5328927  0.1598252 -3.3342 0.0009268 ***      
                fesisRUS.2015 -0.8201688  0.1725785 -4.7524 2.715e-06 ***      
                fesisSWE.1999  1.0978950  0.3589561  3.0586 0.0023578 **       
                fesisSWE.2000 -1.1934159  0.3185415 -3.7465 0.0002029 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value      
                Ljung-Box AR(1)   0.036311  1  0.8489      
                Ljung-Box ARCH(1) 0.157628  1  0.6913      
                                                
                SE of regression   0.30284      
                R-squared          0.97833      
                Log-lik.(n=525)  -78.30616