Binomial N Estimation. A Bayes Empirical Bayes Approach.
Technical rept. Dec 86-Jun 88,
WASHINGTON UNIV SEATTLE DEPT OF STATISTICS
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A Bayes empirical Bayes approach to the problem of estimating N in the binomial distribution is presented. This provides a simple and flexible way of specifying prior information, and also allows a convenient representation of vague prior knowledge. In addition. it yields a solution to the interval estimation problem. The Bayes estimator corresponding to the relative squared error loss function and a vague prior distribution is shown to be stable, and to compare favorably with the estimators introduced by Olkin et al. 1981 and Carroll and Lombard 1985.
- Statistics and Probability