Exact and Approximate Critical Values of Kolmogorov-Smirnov Test for Discrete Random Variables

Silvia Facchinetti, Paola Maddalena Chiodini

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

There are several authors who have studied the problem of the application of Kolmogorov- Smirnov test in the case of discrete random variables. Indeed, as defined by its author, the Kolmogorov-Smirnov test is valid when the distribution function of the universe F(x) is continuous, and when is not satisfied this assumption the test is no longer applicable accurately. Kolmogorov and Noether showed that if the distribution of the universe is discontinuous, the critical values are smaller than or equal to the corresponding values of the continuous case. The objective of this paper is to present a procedure for determining the exact critical values of Kolmogorov-Smirnov test for discrete random variables.
Original languageEnglish
Title of host publicationATTI DELLA XLIV RIUNIONE SCIENTIFICA SIS - sessioni spontanee (CD)
Pages1-2
Number of pages2
Publication statusPublished - 2008
EventXLIV RIUNIONE SCIENTIFICA SIS - ARCAVACATA DI RENDE (CZ)
Duration: 25 Jun 200827 Jun 2008

Conference

ConferenceXLIV RIUNIONE SCIENTIFICA SIS
CityARCAVACATA DI RENDE (CZ)
Period25/6/0827/6/08

Keywords

  • Critical Values
  • Discrete Random variables
  • Goodness of Fit Tests
  • Kolmogorov-Smirnov Test

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