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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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Generalization of a probability limit theorem of Cramér
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Trans. Amer. Math. Soc. 54 (1943), 361-372 Request permission
References
  • Andrew C. Berry, The accuracy of the Gaussian approximation to the sum of independent variates, Trans. Amer. Math. Soc. 49 (1941), 122–136. MR 3498, DOI 10.1090/S0002-9947-1941-0003498-3
  • H. Cramér, Sur un nouveau théoreme-limite de la théorie des probabilités. Actualités Scientifiques, No. 736, Lecture at the Colloque consacré à la Théorie des Probabilités. III. Paris, 1938, pp. 5-23. F. Esscher, On the probability function in the collective theory of risk. Skandinavisk Aktuarietidskrift vol. 15 (1932) pp. 175-195. M. Fréchet, Recherches théoriques modernes sur la théorie des probabilités. Livre I, Paris, 1937, chap. 2, §5.
  • A. Khintchine, Über einen neuen Grenzwertsatz der Wahrscheinlichkeitsrechnung, Math. Ann. 101 (1929), no. 1, 745–752 (German). MR 1512565, DOI 10.1007/BF01454873
  • P. Lévy, Théorie de l’addition des variables aléatoires. Paris, 1937, chap. 8. N. Smirnoff, Ueber Wahrscheinlichkeiten grosser Abweichungen. Recueil Société Mathématique Moscou (Matematičeski Zbornik) vol. 40 (1933) pp. 441-454.
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Additional Information
  • © Copyright 1943 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 54 (1943), 361-372
  • MSC: Primary 60.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1943-0009262-5
  • MathSciNet review: 0009262