Uniform Distributions on Spheres in Finite DimensionalL[alpha]and Their Generalizations

We characterize uniform distributions on spheres in n-dimensional spacesL[alpha]by certain Cauchy-like (n-1)-dimensional distributions of the quotients and derive some properties of mixtures of uniform distributions on such spheres, i.e.,[alpha]-spherical distributions. We feel that a simple Cauchy-like distribution is much simpler to deal with than the usual description of a uniform distribution on the sphere.

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Year of publication:	1998
Authors:	Szablowski, Pawel J.
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 64.1998, 2, p. 103-117
Publisher:	Elsevier
Subject:	uniform distributions on spheres \| Cauchy distribution \| spaceL[alpha] \| distributions of quotients

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005153049