Empirical Bayes Test for the Parameter of Exponential-Weibull Distribution under Negative Associated Samples

Abstract

By using weighted kernel-type density estimator, the empirical Bayes test rules for parameter of Exponential-Weibull distribution are constructed and the asymptotically optimal property is obtained under negative associated samples. It is shown that the convergence rates of the proposed EB test rules can arbitrarily close to O(n^βˆ’1/2) under very mild conditions. 2010 Mathematics Subject Classification: 62C12, 62F12

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