Estimation in linear models with random effects and errors-in-variables

The independent variables of linear mixed models are subject to measurement errors in practice. In this paper, we present a unified method for the estimation in linear mixed models with errors-in-variables, based upon the corrected score function of Nakamura (1990, Biometrika, 77, 127-137). Asymptotic normality properties of the estimators are obtained. The estimators are shown to be consistent and convergent at the order of n -1/2. The performance of the proposed method is studied via simulation and the analysis of a data set on hedonic housing prices.link_to_subscribed_fulltex