On a theorem of Wald and Wolfowitz on randomization in statistics |
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Authors: | H. -P. Kirschner |
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Affiliation: | (1) Institut für Mathematische, Stochastik der Universität Freiburg, Hermann-Herder-Str. 10, 7800 Freiburg, W.-Germany |
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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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