Influence Diagnostics for the Cross-Validated Smoothing Parameter in Spline Smoothing
样条平滑中交叉验证平滑参数的影响诊断
This article addresses the problem of influence in estimating the smoothing parameter when fitting a univariate smoothing spline. Diagnostics are presented that can identify observations that locally influence the choice of smoothing parameter by generalized cross-validation, either through their case weights or observed responses. Generalized cross-validation and the diagnostic methods are given a frequency interpretation and illustrated with examples.