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The risk of pretest and shrinkage estimators
Authors:Sévérien Nkurunziza
Institution:1. Department of Mathematics and Statistics , University of Windsor , 401 Sunset Avenue, Windsor , ON , Canada , N9B 3P4 severien@uwindsor.ca
Abstract:In this paper, we establish the risk function of a class of estimator for the mean parameter matrix of a matrix variate normal distribution. In particular, the established result is useful in evaluating the performance of a class of shrinkage-pretest-type estimators.
Keywords:shrinkage estimator  risk function  MLE  matrix variate normal
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