On a Class of Admissible Estimators of the Common Mean of Two Univariate Normal Populations

Abstract

The purpose of this article is to extend a result of Sinha and Mouqadem (Commun. Stal. Theo. Meth. 11, 1982, 1603-1614), and present a class of admissible estimators of the common mean of two univariate normal populations with unknown unequal variances. An extension of tbis result in the case of two-stage procedures is also briefly discussed.

Keywords

Common Mean Estimation Problem Bayes Estimates Admissible Estimates.

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