日本統計学会誌
Online ISSN : 2189-1478
Print ISSN : 0389-5602
ISSN-L : 0389-5602
ON SOME COMPARISONS BETWEEN BAYESIAN AND SAMPLING THEORETIC ESTIMATORS OF A NORMAL MEAN SUBJECT TO AN INEQUALITY CONSTRAINT
Hikaru Hasegawa
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ジャーナル フリー

1989 年 19 巻 2 号 p. 167-177

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抄録
In this paper, we investigate the efficiency of a Bayesian estimator of a normal mean when it is subject to an inequality constraint. There exist many studies which treat the problem of an inequality constraint by utilizing the sampling theoretic approach. However, the problem has not yet been examined by utilizing the Bayesian approach. The purpose of this paper is to introduce a Bayesian estimator of a normal mean subject to an inequality constraint and derive its sampling theoretic risk function. Also, a comparison of the risk performance of Bayesian and sampling theoretic estimators is carried out.
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© Japan Statistical Society
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