Geodesic
On Dvoretzky--Wald--Wolfowitz theorem on nonrandomized statistical decisions
Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 3, pp. 594-597

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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. 
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     title = {On {Dvoretzky--Wald--Wolfowitz} theorem on nonrandomized statistical decisions},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2005_50_3_a13/}
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E. A. Feinberg; A. B. Piunovskiy. On Dvoretzky--Wald--Wolfowitz theorem on nonrandomized statistical decisions. Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 3, pp. 594-597. http://geodesic.mathdoc.fr/item/TVP_2005_50_3_a13/