On a theorem of Wald and Wolfowitz on randomization in statistics

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1976 Germany English Publisher:Springer Science and Business Media LLCJournal:Manuscripta Mathematica, volume 18, pages 249-256 (issn: 0025-2611, eissn: 1432-1785,

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Authors: Kirschner, H.-P.;

doi: 10.1007/bf01245919

On a theorem of Wald and Wolfowitz on randomization in statistics

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Abstract

In [9] it is proved that to each randomized decision function, there exists an equivalent randomized decision rule (cf. [3]), provided that the space of decisions is Polish. The object of the present paper is to show that the above theorem is a special case of risk-equivalence (cf. [5]) even if the space of decisions is analytic.

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Germany

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DigiZeitschriften
Germany
University of Freiburg
Germany

Keywords

Probability measures on topological spaces, 510.mathematics, Statistical decision theory, Article

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