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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An asymptotic expansion of a beta-type integral and its application to probabilities of large deviations
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by J. C. Fu and R. Wong PDF
Proc. Amer. Math. Soc. 79 (1980), 410-414 Request permission

Abstract:

An asymptotic expansion is obtained for an incomplete beta-type integral, which arises in the study of probabilities of large deviations. The expansion obtained yields large deviation results for binomial, quantile, and related probabilities. Our approach is based on a generalized version of Laplace’s method.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 79 (1980), 410-414
  • MSC: Primary 60F10; Secondary 41A60, 62E20
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0567982-6
  • MathSciNet review: 567982