Kolmogorov-Smirnov Test for Discrete Distributions

Abstract

The Kolmogorov-Smirnov goodness-of-fit test is exact only when the hypothesized distribution is continuous, but recently Conover has extended the Kolmogorov-Smirnov test to obtain a test that is exact in the case of discrete distributions. Reasons for using this procedure instead of the regular Kolmogorov-Smirnov test when the hypothesized distribution is discrete are given. A computer subroutine is developed to allow easy use of the procedure. The subroutine is then used to demonstrate the conservatism of the regular Kolmogorov-Smirnov test in this case and to investigate some properties of the asymptotic distributions of the test statistics.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1976
Accession Number
ADA024845

Entities

People

  • Mark E. Allen

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • California
  • Chi Square Test
  • Computer Programs
  • Computers
  • Data Science
  • Discrete Distribution
  • Distribution Functions
  • Goodness Of Fit Tests
  • Information Science
  • Operations Research
  • Probability
  • Probability Distributions
  • Random Variables
  • Schools
  • Statistical Samples
  • Statistics
  • United States

Fields of Study

  • Mathematics

Readers

  • Statistical inference.