On Tests for Uniformity: Neyman's Statistic and Statistics Based on Gaps and Stretches.

Abstract

Distributions of two statistics arising in sampling from a uniform distribution are investigated. They are Neyman's smooth goodness-of-fit statistic of order two and the maximum of a gap or stretch between p points in a sample of size n, p less than or equal to n. Pearson curve fits are applied to each situation thereby extending percentile tables provided by F.N. David (1939) for Neyman's statistic of order two, and indicating usage in computing percentiles for the stretch statistic. The Pearson curve values are excellent approximations along the range of values of each statistic. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 16, 1981
Accession Number
ADA109662

Entities

People

  • Herbert Solomon
  • Michael A. Stephens

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Data Science
  • Governments
  • Information Science
  • Intervals
  • Military Research
  • Order Statistics
  • Polynomials
  • Probability
  • Sampling
  • Statistical Samples
  • Statistics
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Statistical inference.