Empirical Bayes Rules for Selecting the Best Binomial Population.
PURDUE UNIV LAFAYETTE IN DEPT OF STATISTICS
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Some selection rules based on monotone empirical Bayes estimators of the binomial parameters are proposed. First, it is shown that, under the squared error loss, the Bayes risks of the proposed monotone empirical Bayes estimators converge to the related minimum Bayes risks with rates of convergence at least of order 0nsub -n, where n is the number of accumulated past experiences at hand. Further, for the selection problem, the rates of convergence of the proposed selection rules are shown to be at least of order 0exp-cn for some c 0. Keywords Asymptotically optimal.
- Statistics and Probability