On the admissibility of an estimator of a normal mean vector under a linex loss function |
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Authors: | Ahmad Parsian |
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Institution: | (1) Institute of Statistics and Operations Research, Victoria University of Wellington, P.O. Box 600, Wellington, New Zealand;(2) Present address: department of Mathematics and Statistics, Shiraz University, 71454 Shiraz, Iran |
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Abstract: | For ap-variate normal mean with known variances, the model proposed by Zellner (1986,J. Amer. Statist. Assoc.,81, 446–451) is discussed in a slightly different framework. A generalized Bayes estimate is derived from a three-stage Bayes
point of view under the asymmetric loss function, and the admissibility of such estimators is proved. |
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Keywords: | Admissible estimators empirical Bayes hierarchical Bayes analysis generalized Bayes LINEX loss three-stage Bayes estimators |
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