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Smoothing Parameter Selection for a Class of Semiparametric Linear Models

Smoothing Parameter Selection for a Class of Semiparametric Linear Models

Summary Spline-based approaches to non-parametric and semiparametric regression, as well as to regression of scalar outcomes on functional predictors, entail choosing a parameter controlling the extent to which roughness of the fitted function is penalized. We demonstrate that the equations determining two popular methods for smoothing parameter selection, generalized cross-validation …