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Uniform Distributions on Spheres in Finite DimensionalLαand Their Generalizations

✍ Scribed by Paweł J Szabłowski


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
255 KB
Volume
64
Category
Article
ISSN
0047-259X

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✦ Synopsis


We characterize uniform distributions on spheres in n-dimensional spaces L : 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., :-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.