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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


On the deviations of the empiric distribution function of vector chance variables

Authors: J. Kiefer and J. Wolfowitz
Journal: Trans. Amer. Math. Soc. 87 (1958), 173-186
MSC: Primary 60.00; Secondary 62.00
MathSciNet review: 0099075
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References [Enhancements On Off] (What's this?)

  • [1] A. N. Kolmogorov, Sulla determinazione empirica di una legge di distribuzione, Inst. Ital. Atti. Giorn. vol. 4 (1933) pp. 83-91.
  • [2] 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 0083864 (18,772i)
  • [3] N. V. Smirnov, Approximate laws of distribution of random variables from empirical data, Uspehi Matem. Nauk 10 (1944), 179–206 (Russian). MR 0012387 (7,19c)
  • [4] Monroe D. Donsker, Justification and extension of Doob’s heuristic approach to the Komogorov-Smirnov theorems, Ann. Math. Statistics 23 (1952), 277–281. MR 0047288 (13,853n)
  • [5] J. L. Doob, Heuristic approach to the Kolmogorov-Smirnov theorems, Ann. Math. Statistics 20 (1949), 393–403. MR 0030732 (11,43a)
  • [6] P. Lévy, Théorie de l'addition des variables aléatoires, Paris, Gauthier-Villars, 1937.
  • [7] 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 0070919 (17,55c)

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PII: S 0002-9947(1958)0099075-1
Article copyright: © Copyright 1958 American Mathematical Society

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