Literature Cited
N. V. Smirnov, “Approximation of distribution laws of random variables from empirical data,” Usp. Mat. Nauk, No. 10, 179–207 (1944).
B. V. Gnedenko and V. S. Korolyuk, “Maximum deviation of two empirical distributions,” Dokl. Akad. Nauk SSSR,80, No. 4, 525–528 (1951).
B. V. Gnedenko, “Some results on the maximal deviation between two empirical distributions,” Dokl. Akad. Nauk SSSR,82, No. 5, 661–664 (1952).
A. A. Borovkov, “The two-sample problem,” Izv. Akad. Nauk SSSR, Ser. Mat.,26, No. 4, 605–624 (1962).
Yu. V. Borovskikh, “Complete asymptotic expansions for the two-sample problem,” J. Sov. Math.,12, No. 2 (1979).
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).
V. M. Kalinin, “Special functions and limit properties of probability distributions. 1,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,13, 5–137 (1969).
Additional information
Ulan-Bator, Mongolia. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 5, pp. 42–49, September–October, 1987.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00969311