Convergence Rate of Empirical Bayes for Two-Parameter Exponential Distribution with Replicated Data

Convergence Rate of Empirical Bayes for Two-Parameter Exponential Distribution with Replicated Data

Year:    2010

Author:    Naiyi Li

Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 211–218

Abstract

In this paper, empirical Bayes test for a parameter $θ$ of two-parameter exponential distribution is investigated with replicated past data. Under some conditions, the asymptotically optimal property is obtained. It is indicated that the rate of convergence can be very close to $O(N^{−\frac{1}{2}})$ in this case that a parameter $µ$ is known.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2010-CMR-19153

Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 211–218

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    replicated data empirical Bayes asymptotic optimality.

Author Details

Naiyi Li