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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 the equidistribution of sums of independent random variables
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by Herbert Robbins PDF
Proc. Amer. Math. Soc. 4 (1953), 786-799 Request permission
References
    W. Feller, Probability theory and its applications, vol. 1, New York, 1950.
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  • H. Poincaré, Calcul des probabilités, Paris, 1896. M. Fréchet, Méthode des fonctions arbitraires, etc., vol. 1 (Part III, Book 2 of Traité du calcul des probabilités (Borel)), Paris, 1938. B. Hostinský, Méthodes générales du calcul des probabilités (Part LII of Mémorial des sciences mathématiques), Paris, 1931.
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  • G. Kallianpur and H. Robbins, On the sequence of sums of independent random variables, unpublished.
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  • E. R. van Kampen, Almost periodic functions and compact groups, Ann. of Math. (2) vol. 37 (1936) pp. 48-91. A. Weil, Sur les fonctions presque périodiques de v. Neumann, C. R. Acad. Sci. Paris vol. 200 (1935) pp. 38-40. P. Lévy, L’addition des variables aléatoires définies sur une circonférence, Bull. Soc. Math. France vol. 67 (1939) pp. 1-41.
  • Yukiyosi Kawada and Kiyosi Itô, On the probability distribution on a compact group. I, Proc. Phys.-Math. Soc. Japan (3) 22 (1940), 977–998. MR 3462
  • T. E. Harris and Herbert Robbins, Ergodic theory of Markov chains admitting an infinite invariant measure, Proc. Nat. Acad. Sci. U.S.A. 39 (1953), 860–864. MR 56873, DOI 10.1073/pnas.39.8.860
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Additional Information
  • © Copyright 1953 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 4 (1953), 786-799
  • MSC: Primary 60.0X
  • DOI: https://doi.org/10.1090/S0002-9939-1953-0056869-7
  • MathSciNet review: 0056869