%0 Journal Article %A Al-khasawneh, Mohanad Fayez %D 2019 %T Empirical Bayes sequential estimation of a finite population mean %U https://tandf.figshare.com/articles/journal_contribution/Empirical_Bayes_sequential_estimation_of_a_finite_population_mean/8108294 %R 10.6084/m9.figshare.8108294.v1 %2 https://tandf.figshare.com/ndownloader/files/15122864 %K Empirical Bayes %K sequential %K estimation %K Monte Carlo simulation %K finite population %X

In this article, we consider the Bayes and empirical Bayes problem of the current population mean of a finite population when the sample data is available from other similar (m-1) finite populations. We investigate a general class of linear estimators and obtain the optimal linear Bayes estimator of the finite population mean under a squared error loss function that considered the cost of sampling. The optimal linear Bayes estimator and the sample size are obtained as a function of the parameters of the prior distribution. The corresponding empirical Bayes estimates are obtained by replacing the unknown hyperparameters with their respective consistent estimates. A Monte Carlo study is conducted to evaluate the performance of the proposed empirical Bayes procedure.

%I Taylor & Francis