## 第 1 折交叉验证
## 误差
## mae mse rmse mape nmse nmae
## 2.36133 8.48324 2.91260 0.02295 0.13503 0.30739
## 第 2 折交叉验证
## 误差
## mae mse rmse mape nmse nmae
## 1.66956 3.92194 1.98039 0.01606 0.07137 0.22774
## 第 3 折交叉验证
## 误差
## mae mse rmse mape nmse nmae
## 0.76381 0.92189 0.96015 0.00711 0.03765 0.16239
## 第 4 折交叉验证
## 误差
## mae mse rmse mape nmse nmae
## 2.76335 10.15485 3.18667 0.02461 0.78316 0.90718
## 第 5 折交叉验证
## 误差
## mae mse rmse mape nmse nmae
## 1.10329 2.25009 1.50003 0.00949 0.04930 0.16447
## 第 6 折交叉验证
## 误差
## mae mse rmse mape nmse nmae
## 5.40967 32.71960 5.72010 0.04528 0.31529 0.53360
## 6折交叉验证
## 估计值与真值
## 误差
## mae mse rmse mape nmse nmae
## 0.394694 0.265793 0.515552 0.003585 0.007391 0.071289
外推预测
误差
mae mse rmse mape nmse nmae
4.96240 25.16884 5.01686 0.04081 0.21227 0.45575
外推预测
## 总体误差
mae mse rmse mape nmse nmae
第 1 折 2.3613 8.4832 2.9126 0.022950 0.135033 0.30739
第 2 折 1.6696 3.9219 1.9804 0.016055 0.071374 0.22774
第 3 折 0.7638 0.9219 0.9602 0.007110 0.037647 0.16239
第 4 折 2.7634 10.1548 3.1867 0.024611 0.783158 0.90718
第 5 折 1.1033 2.2501 1.5000 0.009490 0.049299 0.16447
第 6 折 5.4097 32.7196 5.7201 0.045283 0.315291 0.53360
测试集总体 2.3452 9.7419 3.1212 0.020917 0.270912 0.42358
训练集总体 0.3947 0.2658 0.5156 0.003585 0.007391 0.07129
外推预测 4.9624 25.1688 5.0169 0.040811 0.212275 0.45575
date 真值 拟合值 分折预测值 拟合误差 预测误差 拟合相对误差
1 2007-07-01 100.9 102.3 106.4 1.453513 1.453513 1.441e-02
2 2007-08-01 102.4 103.2 106.4 0.732938 0.732938 7.155e-03
3 2007-09-01 102.6 102.9 106.3 0.352171 0.352171 3.434e-03
4 2007-10-01 103.1 103.2 106.6 0.068656 0.068656 6.657e-04
5 2007-11-01 103.4 103.8 106.3 0.411583 0.411583 3.981e-03
6 2007-12-01 103.9 104.5 106.7 0.572280 0.572280 5.508e-03
7 2008-01-01 104.7 104.8 106.7 0.074820 0.074820 7.143e-04
8 2008-04-01 106.8 106.1 106.3 0.616866 0.616866 5.778e-03
9 2008-05-01 106.2 106.3 106.7 0.048174 0.048174 4.534e-04
10 2008-06-01 106.4 106.0 106.2 0.364395 0.364395 3.425e-03
11 2008-07-01 106.9 106.6 106.4 0.382841 0.382841 3.580e-03
12 2008-08-01 106.4 106.2 105.8 0.264124 0.264124 2.482e-03
13 2008-09-01 106.5 106.3 106.0 0.170995 0.170995 1.606e-03
14 2008-10-01 105.8 105.7 105.5 0.116662 0.116662 1.103e-03
15 2008-11-01 104.2 104.9 106.3 0.633865 0.633865 6.082e-03
16 2008-12-01 103.5 104.0 106.7 0.502945 0.502945 4.860e-03
17 2009-02-01 104.3 104.6 106.4 0.286424 0.286424 2.746e-03
18 2009-04-01 104.2 104.1 105.9 0.133865 0.133865 1.285e-03
19 2009-05-01 103.5 103.7 105.7 0.222748 0.222748 2.152e-03
20 2009-06-01 103.4 103.9 106.2 0.487915 0.487915 4.718e-03
21 2009-07-01 103.8 104.6 106.7 0.719774 0.719774 6.932e-03
22 2009-08-01 104.9 104.6 105.0 0.392481 0.392481 3.740e-03
23 2009-09-01 105.1 105.1 105.0 0.037472 0.037472 3.566e-04
24 2009-10-01 104.9 105.1 104.9 0.208528 0.208528 1.989e-03
25 2009-11-01 104.5 105.1 104.9 0.610205 0.610205 5.837e-03
26 2009-12-01 105.4 105.8 106.2 0.323767 0.323767 3.071e-03
27 2010-01-01 106.1 106.0 105.3 0.046579 0.046579 4.390e-04
28 2010-04-01 108.1 107.5 107.0 0.600142 0.600142 5.554e-03
29 2010-05-01 107.8 107.4 106.2 0.439108 0.439108 4.072e-03
30 2010-06-01 107.4 107.4 106.5 0.003442 0.003442 3.207e-05
31 2010-07-01 108.1 107.9 107.2 0.164487 0.164487 1.522e-03
32 2010-08-01 108.5 108.0 106.6 0.541962 0.541962 4.994e-03
33 2010-09-01 108.8 109.2 108.9 0.361602 0.361602 3.322e-03
34 2010-10-01 109.3 109.8 111.1 0.512616 0.512616 4.692e-03
35 2010-11-01 110.3 112.0 115.7 1.757760 1.757760 1.594e-02
36 2010-12-01 110.6 111.3 115.7 0.646069 0.646069 5.841e-03
37 2011-01-01 111.5 111.8 115.0 0.332651 0.332651 2.983e-03
38 2011-04-01 113.7 113.6 116.0 0.021653 0.021653 1.905e-04
39 2011-05-01 113.5 114.6 117.8 1.025131 1.025131 9.028e-03
40 2011-06-01 114.2 114.5 117.5 0.248549 0.248549 2.176e-03
41 2011-07-01 114.9 114.7 116.8 0.154323 0.154323 1.343e-03
42 2011-08-01 115.2 114.9 116.8 0.326221 0.326221 2.831e-03
43 2011-09-01 115.6 115.2 116.1 0.407140 0.407140 3.522e-03
44 2011-10-01 115.3 115.4 116.1 0.077784 0.077784 6.748e-04
45 2011-11-01 114.7 115.0 115.8 0.290928 0.290928 2.537e-03
46 2011-12-01 114.9 114.5 114.2 0.466612 0.466612 4.060e-03
47 2012-03-01 116.8 116.8 116.6 0.065578 0.065578 5.612e-04
48 2012-04-01 117.0 116.8 116.8 0.135463 0.135463 1.158e-03
49 2012-05-01 116.5 115.8 114.4 0.684655 0.684655 5.877e-03
50 2012-06-01 115.7 115.6 114.2 0.143420 0.143420 1.240e-03
51 2012-07-01 116.3 115.1 114.0 1.177595 1.177595 1.013e-02
52 2012-08-01 117.0 116.7 113.7 0.270539 0.270539 2.313e-03
53 2012-09-01 117.2 117.0 116.9 0.178055 0.178055 1.519e-03
54 2012-10-01 116.7 116.8 116.6 0.148301 0.148301 1.271e-03
55 2012-11-01 116.5 116.6 117.0 0.113219 0.113219 9.716e-04
56 2012-12-01 117.1 116.9 115.6 0.173356 0.173356 1.480e-03
57 2013-01-01 118.3 117.8 115.9 0.432424 0.432424 3.656e-03
58 2013-04-01 119.0 118.5 114.7 0.469147 0.469147 3.944e-03
59 2013-05-01 118.5 118.6 113.1 0.151989 0.151989 1.283e-03
60 2013-06-01 118.6 118.7 113.3 0.103682 0.103682 8.742e-04
61 2013-07-01 119.0 118.8 112.9 0.189836 0.189836 1.596e-03
62 2013-08-01 119.3 119.1 113.4 0.188693 0.188693 1.582e-03
63 2013-09-01 120.1 119.7 113.0 0.473777 0.473777 3.943e-03
64 2013-10-01 120.5 119.6 113.3 0.873314 0.873314 7.247e-03
65 2013-11-01 120.0 119.4 112.9 0.667130 0.667130 5.558e-03
66 2013-12-01 120.4 119.6 113.3 0.794864 0.794864 6.603e-03
67 2014-01-01 121.6 117.7 117.7 3.887016 3.887016 3.197e-02
68 2014-04-01 121.7 117.0 117.0 4.689731 4.689731 3.854e-02
69 2014-05-01 121.7 116.2 116.2 5.505749 5.505749 4.525e-02
70 2014-06-01 121.4 115.7 115.7 5.767115 5.767115 4.749e-02
预测相对误差
1 1.441e-02
2 7.155e-03
3 3.434e-03
4 6.657e-04
5 3.981e-03
6 5.508e-03
7 7.143e-04
8 5.778e-03
9 4.534e-04
10 3.425e-03
11 3.580e-03
12 2.482e-03
13 1.606e-03
14 1.103e-03
15 6.082e-03
16 4.860e-03
17 2.746e-03
18 1.285e-03
19 2.152e-03
20 4.718e-03
21 6.932e-03
22 3.740e-03
23 3.566e-04
24 1.989e-03
25 5.837e-03
26 3.071e-03
27 4.390e-04
28 5.554e-03
29 4.072e-03
30 3.207e-05
31 1.522e-03
32 4.994e-03
33 3.322e-03
34 4.692e-03
35 1.594e-02
36 5.841e-03
37 2.983e-03
38 1.905e-04
39 9.028e-03
40 2.176e-03
41 1.343e-03
42 2.831e-03
43 3.522e-03
44 6.748e-04
45 2.537e-03
46 4.060e-03
47 5.612e-04
48 1.158e-03
49 5.877e-03
50 1.240e-03
51 1.013e-02
52 2.313e-03
53 1.519e-03
54 1.271e-03
55 9.716e-04
56 1.480e-03
57 3.656e-03
58 3.944e-03
59 1.283e-03
60 8.742e-04
61 1.596e-03
62 1.582e-03
63 3.943e-03
64 7.247e-03
65 5.558e-03
66 6.603e-03
67 3.197e-02
68 3.854e-02
69 4.525e-02
70 4.749e-02