On the design-consistency property of hierarchical Bayes estimators in finite population sampling

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dc.creatorLahiri, P.
dc.creatorMukherjee, Kanchan
dc.date2007-08-14
dc.date.accessioned2026-07-07T08:24:37Z
dc.date.available2026-07-07T08:24:37Z
dc.descriptionWe 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.
dc.descriptionPublished at http://dx.doi.org/10.1214/009053606000001262 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0708.1890
dc.identifierhttp://arxiv.org/abs/0708.1890
dc.identifierAnnals of Statistics 2007, Vol. 35, No. 2, 724-737
dc.identifierdoi:10.1214/009053606000001262
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136399
dc.subjectStatistics Theory
dc.subject62D05 (Primary); 62F15 (Secondary)
dc.titleOn the design-consistency property of hierarchical Bayes estimators in finite population sampling
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