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Empirical Bayes Test for the Parameter of the Truncated-Type Distribution Families
Authors:Yimin Shi  Huayong Xiao
Affiliation:(1) Department of Applied Mathematics, Northwestern Polytechnical University, Xian, 710072, China
Abstract:The empirical Bayes test (EBT) is proposed for testing H0 : theta le theta0 harr H1 : theta > theta0 in the truncated-type distribution families. It is found that the EBT proposed is obtained asymptotically optimal and its convergence rate is also obtained.AMS Subject Classification (2000) 62J10, 62G99
Keywords:Bayes risks  loss function  kernel function  convergence rate
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