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In this paper we shall seek the upper bound of probabilities (erorr probabilities) of misclassification in the Bayes classification procedures between two categories whose moments of order $ 2^k $ $ (...k = 0, 1, 2) $ are assumed to be known, while the distribution of each category may well be continuous or discrete. We shall also give a sufficient condition, which is an improvement of Becher-Chernoff's upper bound. This becomes also a necessary condition in some cases of interest.続きを見る
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