Analysis of Factors Influencing Smoothing Parameter in Semiparametric Model

Many methods can be used to determine smoothing parameters in semiparametric model,but smoothing parameters vary with these methods for the same model.After comparative analysis of the L-Curve,GCV(Generalize Cross Validation) and virtual observational approach,the factors influencing smoothing parameter are studied by simulated example.Smoothing parameters have a close relation with signal-to-noise ratio.When the signal-to-noise ratio increases,variation trend of smoothing parameters is different.The best method determining smoothing parameters in different situations is different.