1 \(2\left(\boldsymbol{\beta}^\top_1\mathbf{x}\right)^2 + 2\exp\left(\boldsymbol{\beta}^\top_2\mathbf{x}\right)\epsilon\) (both papers)

1.1 SSPs

1.2 Sim boxplots

2 \(\left(\boldsymbol{\beta}^\top_1\mathbf{x}\right) + \left(\boldsymbol{\beta}^\top_2\mathbf{x}\right)^2\epsilon\)

2.1 SSPs

2.2 Sim boxplots

3 \(3\sin^{2}\left(\boldsymbol{\beta}^\top_1\mathbf{x}/4\right) + 0.2\left(1 + \left(\boldsymbol{\beta}^\top_2\mathbf{x}\right)^2\right)\epsilon\)

3.1 SSPs

3.2 Sim boxplots

4 \(3\sin\left(\boldsymbol{\beta}^\top_1\mathbf{x}/4\right) + 0.2\left(1 + \left(\boldsymbol{\beta}^\top_2\mathbf{x}\right)^2\right)\epsilon\)

4.1 SSPs

4.2 Sim boxplots

5 \(0.5\left(\boldsymbol{\beta}^\top_1\mathbf{x}\right)^3 + 0.5\left(1 + \boldsymbol{\beta}^\top_2\mathbf{x}\right)^2 + 0.2\epsilon\) (both papers)

5.1 SSPs

5.2 Sim boxplots

6 \(\displaystyle\frac{\boldsymbol{\beta}^\top_1\mathbf{x}}{0.5 + \left(1.5 + \boldsymbol{\beta}^\top_2\mathbf{x}\right)^2} + 0.1\epsilon\) (first paper)

6.1 SSPs

6.2 Sim boxplots

7 \(\displaystyle\frac{\boldsymbol{\beta}^\top_1\mathbf{x}}{0.5 + \left(1.5 + \boldsymbol{\beta}^\top_2\mathbf{x}\right)^2} + 0.1\epsilon\) (first paper). Nonelliptical contour distribution

7.1 SSPs

7.2 Sim boxplots