Exact upper and lower bounds on the misclassification probability.
Exact lower and upper bounds on the best possible misclassification probability for a finite number of classes are obtained in terms of the total variation norms of the differences between the sub-distributions over the classes. These bounds are compared with the exact bounds in terms of the conditional entropy obtained by Feder and Merhav.
Publisher URL: http://arxiv.org/abs/1712.00812
DOI: arXiv:1712.00812v4
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