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Title: Monotone Empirical Bayes Tests for the Parameter of a Positive Exponential Family Using PA Samples
Authors: Shi, Yi-min
Yan, Shuan-hang
Keywords: Empirical Bayes test
positively associated samples
asymptotic optimality
convergence rate
Issue Date: 2008
Publisher: Vidyasagar University , Midnapore , West-Bengal , India
Series/Report no.: Journal of Physical Science;Vol 12 [2008]
Abstract: In this paper, we develop an empirical Bayes (EB) test by using the kernel-type density estimation in the case of identically distributed and positively associated (PA) samples. Given some suitable conditions, the asymptotically optimal property and the convergence rate of the EB test are obtained. Furthermore, it is proven that the convergence rate can arbitrarily approach toO(n−1) . Finally, an example about the main results of this paper is given. This example shows that the rationality of the conditions in theorem.
Description: 41-49
ISSN: 0972-8791 (Print)
Appears in Collections:Journal of Physical Sciences Vol.12 [2008]

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