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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the deviations of the empiric distribution function of vector chance variables
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by J. Kiefer and J. Wolfowitz PDF
Trans. Amer. Math. Soc. 87 (1958), 173-186 Request permission
References
    A. N. Kolmogorov, Sulla determinazione empirica di una legge di distribuzione, Inst. Ital. Atti. Giorn. vol. 4 (1933) pp. 83-91.
  • A. Dvoretzky, J. Kiefer, and J. Wolfowitz, Asymptotic minimax character of the sample distribution function and of the classical multinomial estimator, Ann. Math. Statist. 27 (1956), 642–669. MR 83864, DOI 10.1214/aoms/1177728174
  • N. V. Smirnov, Approximate laws of distribution of random variables from empirical data, Uspehi Matem. Nauk 10 (1944), 179–206 (Russian). MR 0012387
  • Monroe D. Donsker, Justification and extension of Doob’s heuristic approach to the Komogorov-Smirnov theorems, Ann. Math. Statistics 23 (1952), 277–281. MR 47288
  • J. L. Doob, Heuristic approach to the Kolmogorov-Smirnov theorems, Ann. Math. Statistics 20 (1949), 393–403. MR 30732, DOI 10.1214/aoms/1177729991
  • P. Lévy, Théorie de l’addition des variables aléatoires, Paris, Gauthier-Villars, 1937.
  • M. Kac, J. Kiefer, and J. Wolfowitz, On tests of normality and other tests of goodness of fit based on distance methods, Ann. Math. Statist. 26 (1955), 189–211. MR 70919, DOI 10.1214/aoms/1177728538
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Additional Information
  • © Copyright 1958 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 87 (1958), 173-186
  • MSC: Primary 60.00; Secondary 62.00
  • DOI: https://doi.org/10.1090/S0002-9947-1958-0099075-1
  • MathSciNet review: 0099075