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On the inadmissibility of unbiased estimators

James O. Berger

Statistics & Probability Letters, 1990, vol. 9, issue 5, 381-384

Abstract: It is observed that unbiased estimators are always inadmissible when the parameter (or function of the parameter) being estimated has either a maximum or a minimum at a parameter value for which the probability distribution is nondegenerate. Examples of problems where this is so include variance components problems, problems with restricted parameter spaces, and estimation of the risk or variance of shrinkage estimators.

Date: 1990
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