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On a design consistency property of hierarchical Bayes estimators in finite population samplings.

Research output: Contribution to journalJournal article

Published

<mark>Journal publication date</mark>04/2007
<mark>Journal</mark>Annals of Statistics
Issue2
Volume35
Number of pages14
Pages724-737
<mark>Original language</mark>English

Abstract

We obtain a limit of a hierarchical Bayes estimator of a finite population mean when the sample size is large. The limit is in the sense of ordinary calculus, where the sample observations are treated as fixed quantities. Our result suggests a simple way to correct the hierarchical Bayes estimator to achieve design-consistency, a well-known property in the traditional randomization approach to finite population sampling.We also suggest three different measures of uncertainty of our proposed estimator.