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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]

\(\frac {1}{10} \left \{\frac {6 x^{29}(1-x)^{16}}{\beta (30, 17)} + \frac {4 x^{2}(1-x)^{10}}{\beta (3, 11)} \right \}\)