Empirical Bayes Test for the Parameter of Rayleigh Distribution with Error of Measurement

Empirical Bayes Test for the Parameter of Rayleigh Distribution with Error of Measurement

Year:    2011

Author:    Juan Huang

Communications in Mathematical Research , Vol. 27 (2011), Iss. 1 : pp. 17–23

Abstract

For the data with error of measurement in historical samples, the empirical Bayes test rule for the parameter of Rayleigh distribution is constructed, and the asymptotically optimal property is obtained. It is shown that the convergence rate of the proposed EB test rule can be arbitrarily close to $O(n^{−\frac{1}{2}})$ under suitable conditions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2011-CMR-19104

Communications in Mathematical Research , Vol. 27 (2011), Iss. 1 : pp. 17–23

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:    error of measurement empirical Bayes asymptotic optimality convergence rate.

Author Details

Juan Huang