On the estimation of a restricted normal mean

Constantine Gatsonis, Brenda MacGibbon and William Strawderman

Statistics & Probability Letters, 1987, vol. 6, issue 1, 21-30

Abstract: Let X ~ N([theta],1), where [theta] [epsilon] [-m, m], for some m> 0, and consider the problem of estimating [theta] with quadratic loss. We show that the Bayes estimator [delta]m, corresponding to the uniform prior on [-m, m], dominates [delta]0 (x) = x on [-m, m] and it also dominates the MLE over a large part of the parameter interval. We further offer numerical evidence to suggest that [delta]m has quite satisfactory risk performance when compared with the minimax estimators proposed by Casella and Strawderman (1981) and the estimators proposed by Bickel (1981).

Keywords: bounded; normal; mean; minimax; uniform; prior (search for similar items in EconPapers)
Date: 1987
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Citations: View citations in EconPapers (4)

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