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Table 1 Test functions used for data generation

From: LASSO type penalized spline regression for binary data

Name Shape Function
Linear [JWFFXGRAPHICS]s12874-021-01234-9tmc1.eps[JWFFXGRAPHICS] log(3)x
Concave [JWFFXGRAPHICS]s12874-021-01234-9tmc2.eps[JWFFXGRAPHICS] sin(πx)
Double Hump [JWFFXGRAPHICS]s12874-021-01234-9tmc3.eps[JWFFXGRAPHICS] \(\frac {1}{10} \left \{\frac {6 x^{29}(1-x)^{16}}{\beta (30, 17)} + \frac {4 x^{2}(1-x)^{10}}{\beta (3, 11)} \right \}\)