Bayesian Joint Estimation of Binomial Proportions

Marlos A. G. Viana

Journal of Educational and Behavioral Statistics, 1991, vol. 16, issue 4, 331-343

Abstract: Testing the hypothesis H that k > 1 binomial parameters are equal and jointly estimating these parameters are related problems. A Bayesian argument can simultaneously answer these inference questions: to test the hypothesis H, the posterior probability λ = λ (H | x) of H given the experimental data x can be used; to estimate each binomial parameter, their Bayesian estimates under H and the alternative hypothesis H̄ are combined with weights λ and 1 – λ, respectively.

Keywords: joint estimation; shrinkage; Bayesian hypothesis testing; Bayes factor (search for similar items in EconPapers)
Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:16:y:1991:i:4:p:331-343

DOI: 10.3102/10769986016004331

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