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Empirical Bayes Test for the Parameter of Power Distribution with Random Index and Missing Data

Li Naiyi, Wang Dehong


In the case of random index and missing data , the empirical Bayes test rules for the parameter of Power distribution are constructed, and the asymptotically optimal property is obtained. It is shown that the convergence rates of the proposed EB test rules can arbitrarily close to O(n^(-1/2))under suitable conditions.


Random index, missing data, empirical Bayes, asymptotic optimality, convergence rates.

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