Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -