Extremal Characteristics of Statistical Criteria with Given Total Variation Distances between Hypothesesстатья
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Дата последнего поиска статьи во внешних источниках: 9 ноября 2017 г.
Аннотация:We consider extremal values of the characteristics of nonrandomized statistical criteria in the following case: there are $n$ hypotheses with given total variation distances. It is shown that finding the extremal values of a function of error probabilities may be reduced to solving a finite-dimensional linear programming problem. We found exact formulas for extreme values of the sum of all error probabilities in the case n=3.