Reversing the Stein Effect
نویسنده
چکیده
The Reverse Stein Effect is identified and illustrated: A statistician who shrinks his/her data toward a point chosen without reliable knowledge about the underlying value of the parameter to be estimated but based instead upon the observed data will not be protected by the minimax property of shrinkage estimators such a" that of James and Stein, but instead will likely incur a greater error than if shrinkage were not used. Key vVords and phrases: James-Stein estimator, shrinkage estimator, Bayes and empirical Bayes estimators, multivariate normal distribution.
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