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April 2007 On the design-consistency property of hierarchical Bayes estimators in finite population sampling
P. Lahiri, Kanchan Mukherjee
Ann. Statist. 35(2): 724-737 (April 2007). DOI: 10.1214/009053606000001262

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.

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P. Lahiri. Kanchan Mukherjee. "On the design-consistency property of hierarchical Bayes estimators in finite population sampling." Ann. Statist. 35 (2) 724 - 737, April 2007. https://doi.org/10.1214/009053606000001262

Information

Published: April 2007
First available in Project Euclid: 5 July 2007

zbMATH: 1117.62007
MathSciNet: MR2336865
Digital Object Identifier: 10.1214/009053606000001262

Subjects:
Primary: 62D05
Secondary: 62F15

Rights: Copyright © 2007 Institute of Mathematical Statistics

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Vol.35 • No. 2 • April 2007
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