Empirical Bayes sequential estimation of a finite population mean |
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Authors: | Mohanad Fayez Al-khasawneh |
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Institution: | Department of Mathematics, Statistic and Physics, Qatar University, Doha, Qatar |
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Abstract: | 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. |
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Keywords: | Empirical Bayes sequential estimation Monte Carlo simulation finite population |
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