KOLMOGOROV-TYPE TESTS FOR EXPONENTIALITY WHEN THE SCALE PARAMETER IS UNKNOWN

Abstract

The paper shows how four statistics (Kolmogorov-Smirnov, Cramer-von Mises, and the Kuiper and Watson extensions) may be used to test whether a given sample comes from the exponential distribution with unknown parameter. Simple modifications of the basic definitions make it possible to use each statistic with only one line of percentage points: in turn, these may be reduced to chi- square points. The tests are more powerful than the usual Pearson chi-square test, and are very well adapted for use with a computer.

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Document Details

Document Type
Technical Report
Publication Date
Jan 15, 1970
Accession Number
AD0701308

Entities

People

  • M. A. Stephens

Organizations

  • Stanford University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Chi Square Test
  • Computers
  • Data Science
  • Distribution Functions
  • Information Science
  • Military Research
  • Normal Distribution
  • Scientific Research
  • Statistical Analysis
  • Statistical Samples
  • Statistical Tests
  • Statistics
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Statistical inference.