On A Characterization of the Normal Distribution and Its Application to a Goodness-Of-Fit Problem.

Abstract

Goodness-of-fit problems arising in practice often involve nuisance parameters and hence make the hypotheses composite. Exact tests for such problems are hard to come by. A method is proposed in this paper whereby an exact test for normality when both the location and scale parameter are unknown, is possible by eliminating the parameters in a very natural way. A theorem involving a characterization of the normal distribution is stated and proved and its application to a goodness-of-fit study is mentioned. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 02, 1970
Accession Number
AD0715084

Entities

People

  • V. Seshadri

Organizations

  • Southern Methodist University

Tags

DTIC Thesaurus Topics

  • Composite Materials
  • Computing-Related Activities
  • Data Science
  • Hypotheses
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Normal Distribution
  • Normality
  • Statistical Analysis
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.