Empirical Bayes Rules for Selecting Good Binomial Populations. Revision.
PURDUE UNIV LAFAYETTE IN DEPT OF STATISTICS
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This paper deals with the problem of selecting good binomial populations compared with a standard or a control through the empirical Bayes approach. Two cases have been studied one with the pior distribution completely unknown and the other with the prior distribution symmetrical about p 12, but otherwise unknown. In each case, empirical Bayes rules are derived and their rates of convergence are shown to be of order Oexp-cn for some cO, where n is the number of accumulated post experiences at hand. Keywords Statistical decision theory SmoothingMathematics Asymptotically optimal. Author
- Statistics and Probability