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Minimax property of stein's estimator
Authors:Khursheed Alam  James S. Hawkes
Affiliation:Clemson University , Clemson, S. C
Abstract:Stein's estimator and some other estimators of the mean of a K-variate normal distribution are known to dominate the maximum likelihood estimator under quadratic loss for K > 3, and are therefore minimax. In this paper it is shown that the minimax property of Stein's rule is preserved with respect to a generalized loss function.
Keywords:maximum likelihood  minimax  quadratic loss
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