TY - JOUR

T1 - On a design consistency property of hierarchical Bayes estimators in finite population samplings.

AU - Lahiri, P

AU - Mukherjee, Kanchan

PY - 2007/4

Y1 - 2007/4

N2 - 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.

AB - 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.

U2 - 10.1214/009053606000001262

DO - 10.1214/009053606000001262

M3 - Journal article

VL - 35

SP - 724

EP - 737

JO - Annals of Statistics

JF - Annals of Statistics

SN - 0090-5364

IS - 2

ER -