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Estimates of the rate of convergence in the two-sided Smirnov criterion

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Literature Cited

  1. N. V. Smirnov, “Approximation of distribution laws of random variables from empirical data,” Usp. Mat. Nauk, No. 10, 179–207 (1944).

    Google Scholar 

  2. B. V. Gnedenko and V. S. Korolyuk, “Maximum deviation of two empirical distributions,” Dokl. Akad. Nauk SSSR,80, No. 4, 525–528 (1951).

    Google Scholar 

  3. B. V. Gnedenko, “Some results on the maximal deviation between two empirical distributions,” Dokl. Akad. Nauk SSSR,82, No. 5, 661–664 (1952).

    Google Scholar 

  4. A. A. Borovkov, “The two-sample problem,” Izv. Akad. Nauk SSSR, Ser. Mat.,26, No. 4, 605–624 (1962).

    Google Scholar 

  5. Yu. V. Borovskikh, “Complete asymptotic expansions for the two-sample problem,” J. Sov. Math.,12, No. 2 (1979).

  6. J. H. B. Kemperman, “Asymptotic expansions for the Smirnov test and for the range of cumulative sums,” Ann. Math. Stat.,30, No. 2, 448–462 (1959).

    Google Scholar 

  7. V. M. Kalinin, “Special functions and limit properties of probability distributions. 1,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,13, 5–137 (1969).

    Google Scholar 

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Ulan-Bator, Mongolia. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 5, pp. 42–49, September–October, 1987.

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Byambazhav, D. Estimates of the rate of convergence in the two-sided Smirnov criterion. Sib Math J 28, 725–731 (1987). https://doi.org/10.1007/BF00969311

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  • DOI: https://doi.org/10.1007/BF00969311

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