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Teoriya Veroyatnostei i ee Primeneniya, 2005, Volume 50, Issue 3, Pages 594–597
DOI: https://doi.org/10.4213/tvp101 (Mi tvp101) 		 
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
Full-text PDF (516 kB) Citations (9)
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DOI: https://doi.org/10.4213/tvp101
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
English version:
Theory of Probability and its Applications, 2006, Volume 50, Issue 3, Pages 463–466
DOI: https://doi.org/10.1137/S0040585X97981937
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v50/i3/p594
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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