Inadmissibility of the uncombined two-stage estimator when additional samples are available |
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Authors: | Tatsuya Kubokawa |
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Affiliation: | (1) Department of Mathematics, University of Tsukuba, 305 Tsukuba, Ibaraki, Japan |
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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. |
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Keywords: | Two-stage procedure inadmissibility common mean |
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