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Theory and Method

Critical Values for the One-Sided Two-Sample Kolmogorov-Smirnov Statistic

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Pages 757-760 | Received 01 Jun 1975, Published online: 05 Apr 2012

References

  • Feller , W. 1957 . An Introduction to Probability Theory and Its Applications , New York : John Wiley & Sons Inc. . Ch. 3
  • Gnedenko , B. V. and Korolyuk , V. S. 1951 . “On the Maximum Discrepancy Between Two Empirical Distribution Functions,” (Russian) . Doklady Akademii Nauk SSSR , 80 ( No. 4 ) : 525 – 8 . (English translation in Selected Translations in Mathematical Statistics and Probability Volume 1, Providence, R.I.: American Mathematical Society, 1961, 13–16.)
  • Hodges , J.L. Jr. 1958 . “The Significance Probability of the Smirnov Two-Sample Test,” . Arkiv für Matematik , 3 ( No. 43 ) : 469 – 86 .
  • Kim , P. J. and Jennrich , R. I. 1970 . “Tables of the Exact Sampling Distribution of the Kolmogorov-Smirnov Criterion,” . In Selected Tables in Mathematical Statistics I , Edited by: Harter , H. L. and Owens , D. B. 79 – 170 . Chicago : Markham Publishing Co. .
  • Korolyuk , V. S. 1955 . “On the Discrepancy of Empirical Distribution Functions for the Case of Two Independent Samples,” (Russian) . Izvestiia Akademii Nauk SSSR Seriia Matematicheskaia , 19 ( No. 1 ) : 81 – 96 . (English translation in Selected Translations in Mathematical Statistics and Probability Volume 4, Providence, R.I.: American Mathematical Society, 1963, 105–121.)
  • Pearson , E. S. and Hartley , H. O. 1972 . Biometrika Tables for Statisticians Volume 2 , 360 – 3 . Cambridge : Cambridge University Press .
  • Siegel , S. 1956 . Nonparametric Statistics for the Behavioral Sciences , 278 New York : McGraw-Hill Book Co. .
  • Smirnov , N. V. 1939 . “On the Estimation of the Discrepancy Between Empirical Distribution Curves for Two Independent Samples,” . Bulletin de l'Université de Moscou, Série internationale (Mathématiques) , 2 ( No. 2 ) : 3 – 14 .

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