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Admissible minimax estimators of a mean vector of scale mixtures of multivariate normal distributions
Authors:Yuzo Maruyama
Institution:Center for Spatial Information Science, Faculty of Economics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
Abstract:The problem of estimating a mean vector of scale mixtures of multivariate normal distributions with the quadratic loss function is considered. For a certain class of these distributions, which includes at least multivariate-t distributions, admissible minimax estimators are given.
Keywords:Admissible  Minimax  Scale mixtures of multivariate normal distributions  The FKG inequality
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