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Nonparametric empirical bayes estimation of the probability that x ≥ y
Authors:Myles Hollander  Ramesh M Korwar
Institution:1. Florida State University , Tallahassee, Florida;2. University of Massachusetts , Amtherst, Massachusetts
Abstract:A sequence of empirical Bayes estimators is defined for estimating, in a two-sample problem, the probability that X ≥ Y. The sequence is shown to be asymptotically optimal relative to a Ferguson Dirichlet process prior.
Keywords:Ferguson's Dirichlet process  prior information  asymptotic optimality
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