
Accession Number : ADA117514
Title : The Theory of Concentrated FisherVon 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 FishervonMises 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 nonnull 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