Empirical likelihood for partly linear models with errors in all variables

In this paper, we consider the application of the empirical likelihood method to a partly linear model with measurement errors in possibly all the variables. It is shown that the empirical log-likelihood ratio at the true parameters converges to the standard chi-square distribution. Also, a class of estimators for the parameter are constructed, and the asymptotic distributions of the proposed estimators are obtained. Some simulations and an application are conducted to illustrate the proposed method.