Exact Distributions for Gaps and Stretches.

Abstract

Exact distributions for the largest gaps and stretches (higher order spacings) from points uniformly distributed on the unit interval are given, for up to ten points. General moment formulas and quantiles from these distributions, as well as the distributions themselves, are tabled, with approximate quantiles (obtained from an independent-beta approximation) for comparison. The results are derived via a recursive formulation, which is then implemented on the MACSYMA symbolic computation system. Moment generating functions derived by the same approach are also given. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 05, 1981
Accession Number
ADA097036

Entities

People

  • Joseph G. Deken

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Classification
  • Computations
  • Computer Science
  • Distribution Functions
  • Equations
  • Governments
  • Intervals
  • Military Research
  • Order Statistics
  • Probability
  • Random Variables
  • Security
  • Statistics
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Computer Science.
  • Statistical inference.

Technology Areas

  • Space