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This article is cited in 9 scientific papers (total in 9 papers)
Short Communications
On Dvoretzky–Wald–Wolfowitz theorem on nonrandomized statistical decisions
E. A. Feinberga, A. B. Piunovskiyb a Institute for Mathematical Sciences, Stony Brook University
b University of Liverpool
Abstract:
The result by Dvoretzky, Wald, and Wolfowitz on the sufficiency of nonrandomized decision rules for statistical decision problems with nonatomic state distributions holds for arbitrary Borel decision sets and for arbitrary measurable loss functions.
Keywords:
decision rule, nonatomic measure, nonrandomized decision rule, equivalent decision rules.
Received: 01.06.2005
Citation:
E. A. Feinberg, A. B. Piunovskiy, “On Dvoretzky–Wald–Wolfowitz theorem on nonrandomized statistical decisions”, Teor. Veroyatnost. i Primenen., 50:3 (2005), 594–597; Theory Probab. Appl., 50:3 (2006), 463–466
Linking options:
https://www.mathnet.ru/eng/tvp101https://doi.org/10.4213/tvp101 https://www.mathnet.ru/eng/tvp/v50/i3/p594
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Abstract page: | 366 | Full-text PDF : | 171 | References: | 34 |
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