Empirical likelihood for longitudinal partially linear model with α-mixing errors

This paper considers large sample inference for the regression parameter in a partially linear regression model with longitudinal data and alpha-mixing errors. The authors introduce an estimated empirical likelihood for the regression parameter and show that its limiting distribution is a mixture of central chi-squared distributions. Also, the authors derive an adjusted empirical likelihood method which is shown to have a central chi-square limiting distribution. A simulation study is carried out to assess the performance of the empirical likelihood method.