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

Pawel J. Szablowski

Journal of Multivariate Analysis, 1998, vol. 64, issue 2, 103-117

Abstract: 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.

Keywords: uniform distributions on spheres; Cauchy distribution; spaceL[alpha]; distributions of quotients (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (3)

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