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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Volume (Year): 64 (1998)
Issue (Month): 2 (February)
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