School of Primary Education, Chuxiong Normal University

In this paper, we consider an extension of
semiparametric linear mixed-effect model to a class of longitudinal
data or clustered data with zero-inflation and propose a novel
semiparametric mixed model. Based on the maximum penalized
likelihood estimation and EM algorithm, we give a method for our
proposed model which may estimate both of the parameters and
nonparameters simultaneously. In the method, we use GCV to choose
the smoothing parameter.Finally, we study a simulation analysis and
one real data set to illustrate the proposed method.