Empirical bayesian prediction in the location error in variables superpopulation model

Abstract

Bolfarine 1991 has considered a location measurement error superpopulation model and obtained Bayes predictors of the population total and population variance under noninformative priors. In this paper, those results are first extended to the case of informative priors. Next, empirical Bayes predictors of the two population quantities are considered using the approach which has been proposed by Ghosh and Meeden in the context of repeated surveys and small area estimation. Extensions are considered to the nonho-mogeneous superpopulation model considered by Tiwari and Lahiri (1989). Some simulations studies which illustrate the effect of the measurement error in the proposed empirical Bayes predictors are also reported.