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

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An elementary derivation of Khintchine’s estimate for large deviations.
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by Mark Pinsky
Proc. Amer. Math. Soc. 22 (1969), 288-290
DOI: https://doi.org/10.1090/S0002-9939-1969-0245078-6
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References
  • Kai Lai Chung, A course in probability theory, Harcourt, Brace & World, Inc., New York, 1968. MR 0229268
    • A. Y. Khintchine, Asymptotische Gesetze der Wahrscheinlichkeitrechung, Ergebnisse der Math., Vol. 2, Springer-Berlin, Berlin, 1933.
  • John Lamperti, Probability. A survey of the mathematical theory, W. A. Benjamin, Inc., New York-Amsterdam, 1966. MR 0206996
  • V. V. Petrov, On a relation between an estimate of the remainder in the central limit theorem and the law of iterated logarithm, Teor. Verojatnost. i Primenen. 11 (1966), 514–518 (Russian, with English summary). MR 0212855
  • H. F. Trotter, An elementary proof of the central limit theorem, Arch. Math. 10 (1959), 226–234. MR 108847, DOI 10.1007/BF01240790
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Bibliographic Information
  • © Copyright 1969 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 22 (1969), 288-290
  • MSC: Primary 60.30
  • DOI: https://doi.org/10.1090/S0002-9939-1969-0245078-6
  • MathSciNet review: 0245078