Finite Mixture of Generalized Semiparametric Models: Variable Selection via Penalized Estimation

Abstract

Selection of the important variables is one of the most important model selection problems in statistical applications. In this article, we address variable selection in finite mixture of generalized semiparametric models. To overcome computational burden, we introduce a class of variable selection procedures for finite mixture of generalized semiparametric models using penalized approach for variable selection. Estimation of nonparametric component will be done via multivariate kernel regression. It is shown that the new method is consistent for variable selection and the performance of proposed method will be assessed via simulation.

Keywords:

• EM algorithm
• Finite mixture model
• LASSO
• Penalized likelihood
• SCAD
• Semiparametric models
• Variable selection

Mathematics Subject Classification:

• Primary 62J12
• Secondary 62G08