The Significance Level and Power of the Two-Sided Kolmogorov Test in the Case of Small Sample Sizes

Previous article Next article The Significance Level and Power of the Two-Sided Kolmogorov Test in the Case of Small Sample SizesV. A. EpanechnikovV. A. Epanechnikovhttps://doi.org/10.1137/1113085PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout1 A. Kolmogorov, Determinazione empirica di una legge di distribuzione, Giornale Istit. Ital. Attuari, 4 (1933), 83–91 0006.17402 Google Scholar2 N. V. Smirnov, On the deviations of the empirical distribution curve, Mat. Sb., 6 (1939), 3–26 Google Scholar3 V. S. Korolyuk, The A. N. Kolmogorov—N. V. Smirnov tests for goodness of fit, Kiev, Instit. Matem. AN USSR, (1954), Google Scholar4 F. I. Massey, Jr., The Kolmogorov—Smirnov test for goodness of fit, J. Amer. Stat. Assoc., 46 (1951), 68–78 0042.14403 CrossrefGoogle Scholar5 B. L. van der Waerden, Mathematische Statistik, Springer-Verlag, Berlin, 1957ix+360 MR0083850 0077.12901 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Renyi‐Type DistributionsWiley StatsRef: Statistics Reference Online | 29 September 2014 Cross Ref Renyi-Type DistributionsEncyclopedia of Statistical Sciences | 15 August 2006 Cross Ref Exact Non-Parametric Confidence, Prediction and Tolerance Intervals with Progressive Type-II CensoringScandinavian Journal of Statistics, Vol. 31, No. 2 | 1 Jun 2004 Cross Ref Polynomial structures in order statistics distributionsJournal of Statistical Planning and Inference, Vol. 113, No. 1 | 1 Apr 2003 Cross Ref Computation of the percentage points and the power for the two-sided Kolmogorov-Smirnov one sample testStatistical Papers, Vol. 39, No. 4 | 1 Oct 1998 Cross Ref 19 Empirical distribution functionNonparametric Methods | 1 Jan 1984 Cross Ref Minimal distributions in a stochastic partial ordering and bounds for Gaussian processesJournal of Applied Probability, Vol. 20, No. 03 | 14 July 2016 Cross Ref Minimal distributions in a stochastic partial ordering and bounds for Gaussian processesJournal of Applied Probability, Vol. 20, No. 3 | 14 July 2016 Cross Ref The exact distribution of Kolmogorov's statisticD n forn≦10Annals of the Institute of Statistical Mathematics, Vol. 34, No. 1 | 1 December 1982 Cross Ref Random Walk and Rank Order StatisticsLattice Path Counting and Applications | 1 Jan 1979 Cross Ref The exact distribution of the one-sample Kolmogorov statisticTrabajos de Estadistica y de Investigacion Operativa, Vol. 26, No. 1-3 | 1 Oct 1975 Cross Ref On the Power of the One-Sided Kolmogorov Test When the Sample Size is SmallTheory of Probability & Its Applications, Vol. 19, No. 1 | 28 July 2006AbstractPDF (565 KB)A Kolmogorov Goodness-of-Fit Test for Discontinuous DistributionsJournal of the American Statistical Association, Vol. 67, No. 339 | 1 Sep 1972 Cross Ref Holm's probability-paper tests in relation to the Kolmogorov—Smirnov one-sample testScandinavian Actuarial Journal, Vol. 1972, No. 2 | 1 Jul 1972 Cross Ref Boundary-crossing probabilities for the Brownian motion and Poisson processes and techniques for computing the power of the Kolmogorov-Smirnov testJournal of Applied Probability, Vol. 8, No. 3 | 14 July 2016 Cross Ref Volume 13, Issue 4| 1968Theory of Probability & Its Applications547-715 History Submitted:01 February 1967Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1113085Article page range:pp. 686-690ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics