Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Lower bound on the error probability for families with bounded likelihood ratios
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by Andrew L. Rukhin
Proc. Amer. Math. Soc. 119 (1993), 1307-1314
DOI: https://doi.org/10.1090/S0002-9939-1993-1166361-X

Abstract:

In the classification problem a new sharp lower bound for the error probability is derived. This bound depends only on the prior probabilities and on the support of pairwise likelihood ratios.
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Bibliographic Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 119 (1993), 1307-1314
  • MSC: Primary 62C05; Secondary 62F11, 62F15, 62F35
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1166361-X
  • MathSciNet review: 1166361