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Empirical bayes analysis for the parameter of truncation distribution under Ø-mixing Samples

Juan Huang

Abstract


In this paper, by using the kernel-type density estimation , the empirical Bayes test rule for the continuous one-parameter exponential family is constructed under Ø-mixing samples. The asymptotically optimal property and convergence rates for the proposed EB test are obtained under suitable conditions.

Keywords


Ø-mixing samples, kernel estimation of density function, empirical Bayes test, asymptotic optimality,convergence rates.

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