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Journal of the American Statistical Association Volume 80, 1985 - Issue 389
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Theory and Method

Bayesian Methods for Binomial Data with Applications to a Nonresponse Problem

James H. Albert Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH, 43403, USA
&
Arjun K. Gupta Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH, 43403, USA
Pages 167-174 | Received 01 Nov 1981, Published online: 12 Mar 2012
 
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Abstract

In this article, Bayesian estimation methods for several binomial probabilities are studied by using a mixture of a product of beta prior distributions. Approximations to the posterior means and credible regions are derived. The results obtained are applied to a sample survey problem in which there is significant nonresponse.

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