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Inadmissibility of the uncombined two-stage estimator when additional samples are available
Authors:Tatsuya Kubokawa
Affiliation:(1) Department of Mathematics, University of Tsukuba, 305 Tsukuba, Ibaraki, Japan
Abstract:Consider the problem of constructing an estimator with a preassigned bound on the risk for a mean of a normal distribution. The paper shows that the usual two-stage estimator is improved on by combined estimators when additional samples taken from distributions with the same mean and different variances are available.
Keywords:Two-stage procedure  inadmissibility  common mean
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