Empirical likelihood inferences for semiparametric varying-coefficient partially linear errors-in-variables models with longitudinal data

In this paper, empirical likelihood inferences for semiparametric varying-coefficient partially linear error-in-variables models with longitudinal data are investigated. By correcting the attenuation, we propose a corrected empirical likelihood ratio function for the parametric components and a residual-adjusted empirical likelihood ratio function for the nonparametric components. Wilks' phenomenon is proved and the confidence regions for parametric components and nonparametric components are constructed. A simulation study is undertaken to assess the finite sample performance of the proposed confidence regions.