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Bayesian credibility limits for small finite population proportions:stratified and cluster sampling
Authors:Shulamith T. Gross
Affiliation:Statistics Department , The City University of New York, Baruch College , New York, NY, 1001017 Lexington Ave, Box 513
Abstract:
Bayes credibility limits for small proportions from stratified and fixed size cluster samples are discussed. Ericson’s (JRSS B (1969)) Beta Binomial and Dirichlet-Multinomial priors are used. Approximate limits that are appropriate for large samples and small proportions are derived in both cases. These allow asymptotic comparisons of the efficacy of stratified and cluster sampling relative to simple random sampling for estimating small proportions. Procedures for the selection of hyper parameters are also presented.
Keywords:Stratified samples  Cluster samples  Beta Binomial  Dirichlet Multinomial  credibility limits  small proportions  Negative Binomial approximation
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