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September, 1978 Stratified Sampling with Exchangeable Prior Distributions
M. E. Thompson
Ann. Statist. 6(5): 1168-1169 (September, 1978). DOI: 10.1214/aos/1176344320

Abstract

Suppose a finite population is stratified such that the variate values, appropriately scaled, are exchangeable within strata and independent from stratum to stratum. Consider designs with fixed sample sizes within strata, and unbiased estimators of the population total. Minimum expected variance is achieved with a stratified $\pi ps$ design and the usual (Horvitz-Thompson) unbiased estimator.

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M. E. Thompson. "Stratified Sampling with Exchangeable Prior Distributions." Ann. Statist. 6 (5) 1168 - 1169, September, 1978. https://doi.org/10.1214/aos/1176344320

Information

Published: September, 1978
First available in Project Euclid: 12 April 2007

zbMATH: 0388.62013
MathSciNet: MR499582
Digital Object Identifier: 10.1214/aos/1176344320

Subjects:
Primary: 62O05

Keywords: exchangeable priors , finite populations , optimality , stratified sampling , superpopulation

Rights: Copyright © 1978 Institute of Mathematical Statistics

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Vol.6 • No. 5 • September, 1978
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