A Goodness of Fit Test Based on the Spacing of Selected Order Statistics.

Abstract

Work on the statistical control of the optima of mathematical functions (statistical solution of non-linear optimization) has lead to the statistical problem of estimating the upper limit of a finite range distribution from a random sample of ascent paths. The task of setting confidence limits for this upper limit necessitates the use of a non-parametric goodness of fit criterion. Since the criteria in the literature are not particularly suited to this purpose, it has been necessary to develop suitable criteria ab initio. Specifically, the present report is concerned with the development of a one sample goodness of fit test which is particularly sensitive to tail discrepancies between the true distribution F(x) and the hypothesized distribution F sub 0(x) of a continuous variate x. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1971
Accession Number
AD0733052

Entities

People

  • Dan Lurie
  • Herman Otto Hartley

Organizations

  • Texas A&M University

Tags

DTIC Thesaurus Topics

  • Confidence Limits
  • Data Science
  • Goodness Of Fit Tests
  • Information Science
  • Linear Programming
  • Optimization
  • Order Statistics
  • Statistical Analysis
  • Statistical Samples
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Regression Analysis.

Technology Areas

  • Space