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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The general form of the so-called law of the iterated logarithm
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Trans. Amer. Math. Soc. 54 (1943), 373-402 Request permission
References
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  • Paul Erdös, On the law of the iterated logarithm, Ann. of Math. (2) 43 (1942), 419–436. MR 6630, DOI 10.2307/1968801
  • W. Feller, Generalization of a probability limit theorem of Cramér, Trans. Amer. Math. Soc. 54 (1943), 361–372. MR 9262, DOI 10.1090/S0002-9947-1943-0009262-5
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  • Philip Hartman and Aurel Wintner, On the law of the iterated logarithm, Amer. J. Math. 63 (1941), 169–176. MR 3497, DOI 10.2307/2371287
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  • A. Kolmogoroff, Über das Gesetz des iterierten Logarithmus, Math. Ann. 101 (1929), no. 1, 126–135 (German). MR 1512520, DOI 10.1007/BF01454828
  • P. Lévy, Sur un théorème de M. Khintchine, Bull. Sci. Math. (2) vol. 55 (1931) pp. 145-160. —, Théorie de l’addition des variables aléatoires, Paris, Gautier-Villars, 1937. —, Sur les séries dont les termes sont des variables éventuelles indépendantes, Studia Mathematica vol. 3 (1931) pp. 117-155. J. Marcinkiewicz, Quelques théorèmes de la théorie des probabilités, Travaux de la Société des Sciences et des Lettres de Wilno, Classe des Sciences Mathématiques et Naturelles vol. 13 (1939) pp. 1-13. J. Marcinkiewicz and A. Zygmund, Remarque sur la loi du logarithme itéré, Fund. Math. vol. 29 (1937) pp. 215-222. H. Steinhaus, Les probabilités dénombrables et leur rapport à la théorie de la mesure, Fund. Math. vol. 4 (1922) pp. 286-310. J. Ville, Étude critique de la notion de collectif, Paris, Gautier-Villars.
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Additional Information
  • © Copyright 1943 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 54 (1943), 373-402
  • MSC: Primary 60.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1943-0009263-7
  • MathSciNet review: 0009263