Accession Number : ADA117514

Title :   The Theory of Concentrated Fisher-Von Mises Distributions.

Descriptive Note : Technical rept.,

Corporate Author : PRINCETON UNIV NJ DEPT OF STATISTICS

Personal Author(s) : Watson,Geoffrey S.

Report Date : SEP 1981

Pagination or Media Count : 28

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.

Descriptors :   *Statistical distributions, *Test methods, *Hypotheses, Vector analysis, Parameters, Probability density functions, Bessel functions, Theory, Estimates, Rotation, Symmetry

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE