Tests for Uniformity Arising from a Series of Events.

Abstract

Test procedures are reviewed for testing whether events in time are occurring randomly. When this is so, a well-known transformation takes the times of occurrence to uniform order statistics, and the problem reduces to finding tests for uniformity which are sensitive to those alternative patterns of events which might be met in practice. Some alternatives are described and use is discussed of Neyman's test procedure, EDF tests, and spacings. Some recent work on spacings is examined in this context, and throughout the paper suggestions are made for future work. Keywords: Exponential distribution; Renewal processes; Gamma distribution; Weibull distribution; Uniform distribution; Tests for exponentiality; EDF tests; Neyman's tests; Spacings.

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Document Details

Document Type
Technical Report
Publication Date
Jan 28, 1988
Accession Number
ADA189069

Entities

People

  • Michael A. Stephens

Organizations

  • Stanford University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Autocorrelation
  • Black Holes
  • Curve Fitting
  • Data Science
  • Distribution Theory
  • Information Science
  • Intervals
  • Military Research
  • New York
  • Order Statistics
  • Probability
  • Quality Control
  • Sequences
  • Statistics
  • Time Intervals
  • United States

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Systems Analysis and Design

Technology Areas

  • Space