The Theory of Concentrated Fisher-Von Mises Distributions.

Abstract

The density of the Fisher-von-Mises distribution is proportional to exp kappa micron prime x where x and the modal vector microns are unit vectors in IR(q) times kappa (equal to or greater than 0) is called the concentration parameter. The distribution of statistics for testing hypotheses about the modal vectors of m distributions simplify greatly as the concentration parameters tend to infinity. The non-null distributions are obtained for statistics appropriate when kappa 1,..., kappa m are known but tend to infinity and are unknown but equal to kappa which tends to infinity.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1981
Accession Number
ADA117514

Entities

People

  • Geoffrey S. Watson

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Hypotheses
  • Information Science
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Statistical inference.