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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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On fluctuations of sums of random variables
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by Louis J. Cote PDF
Proc. Amer. Math. Soc. 6 (1955), 135-144 Request permission
References
  • Kai Lai Chung, Fluctuations of sums of independent random variables, Ann. of Math. (2) 51 (1950), 697–706. MR 35410, DOI 10.2307/1969374
  • K. L. Chung and P. Erdös, Probability limit theorems assuming only the first moment. I, Memoirs of the American Mathematical Society, no. 6, pp. 13-19.
  • Kai-Lai Chung and Paul Erdös, On the lower limit of sums of independent random variables, Ann. of Math. (2) 48 (1947), 1003–1013. MR 23010, DOI 10.2307/1969391
  • K. L. Chung and W. H. J. Fuchs, On the distribution of values of sums of random variables, Memoirs of the American Mathematical Society, no. 6, pp. 1-9. H. Cramér, Random variables and probability distributions, Cambridge Tracts in Mathematics, no. 36, 1937.
  • Carl-Gustav Esseen, Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law, Acta Math. 77 (1945), 1–125. MR 14626, DOI 10.1007/BF02392223
  • Georg Pólya, Über den zentralen Grenzwertsatz der Wahrscheinlichkeitsrechnung und das Momentenproblem, Math. Z. 8 (1920), no. 3-4, 171–181 (German). MR 1544437, DOI 10.1007/BF01206525
  • G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford, at the Clarendon Press, 1954. 3rd ed. MR 0067125
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Additional Information
  • © Copyright 1955 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 6 (1955), 135-144
  • MSC: Primary 60.0X
  • DOI: https://doi.org/10.1090/S0002-9939-1955-0070872-4
  • MathSciNet review: 0070872