On the Relation between Several Statistics for Testing for Exponentiality and Uniformity.

Abstract

It is shown that Greenwood's statistic for uniformity and the Hahn-Shapiro and Stephens statistics for exponentiality with known origin are equivalent. It is also shown that the distribution of the Shapiro-Wilk statistic for testing the hypothesis of exponentiality with unknown origin is obtainable from Greenwood's distribution. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 15, 1986
Accession Number
ADA170259

Entities

People

  • Iain D. Currie
  • Michael A. Stephens

Organizations

  • Stanford University

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DTIC Thesaurus Topics

  • Analysis Of Variance
  • Classification
  • Computing-Related Activities
  • Data Science
  • Goodness Of Fit Tests
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Military Research
  • New York
  • Order Statistics
  • Random Variables
  • Statistical Analysis
  • Statistical Samples
  • Statistics
  • United States
  • United States Government

Fields of Study

  • Mathematics

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  • Statistical inference.