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

Lahiri, P and Mukherjee, Kanchan (2007) On a design consistency property of hierarchical Bayes estimators in finite population samplings. Annals of Statistics, 35 (2). pp. 724-737. ISSN 0090-5364

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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.

Item Type:
Journal Article
Journal or Publication Title:
Annals of Statistics
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2613
Subjects:
?? statistics and probabilitystatistics, probability and uncertaintyqa mathematics ??
ID Code:
866
Deposited By:
Deposited On:
20 Dec 2007 11:46
Refereed?:
Yes
Published?:
Published
Last Modified:
31 Dec 2023 00:20