Generalized Cumulative Distribution Functions: I. The Linear Case with Applications to Nonparametric Statistics,

Abstract

The author investigates the behavior of (univariate) cumulative distribution functions which are defined on an abstract linearly ordered space. Special emphasis is given to the study of a class of linearly ordered spaces which J.H.B. Kemperman introduced into the subject of monparametric tolerance regions. Distribution functions on such spaces can be decomposed. Considerable attention is given to applications. In particular, it is shown how a number of nonparametric statistical procedures can be extended to include situations of multivariate and time dependent data. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1972
Accession Number
AD0751286

Entities

People

  • Gordon Simons

Organizations

  • University of North Carolina at Chapel Hill

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Computing-Related Activities
  • Data Science
  • Distribution Functions
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Nonparametric Statistics
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.

Technology Areas

  • Space