The Strong Consistency for the Estimators of Longitudinal Data in Semiparametric Regression Model with ρ ̃-Mixing Errors

Abstract

Consider the following semiparametric regression model for longitudinal data with - mixing errors: , where, the response variable and the covariate vector  taken from the -th subject at time ,    is the - mixing random variables,  We establish a strong consistency for the least squares estimator of the parametric  and the estimator of the non-parametric function  under some mild conditions.