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Monotone Empirical Bayes Test for Parameter of the Exponential Distribution under Positive Associated Samples

Huang Juan, Li Naiyi


Under the linear loss, we consider the test problem of the life parameter in the exponential distribution using empirical Bayes (EB) approach and present a monotone EB test possessing a rate of convergence which can be arbitrarily close to O(n−1) under the condition that the past samples are positive associated.


positive associated, empirical Bayes test, asymptotic optimality, convergence rates.

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