Spherical uniformity and some characterizations of the Cauchy distribution

Given a fixed line L (in Rn) and a uniform distribution of points (c) on the unit sphere, L(tc), the point of intersection of L and the hyperplane P Â· c = 0, leads to a mapping Xn : Rn --> R, which is shown to have a Cauchy distribution.

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Year of publication:	1992
Authors:	Salama, Ibrahim A. ; Sen, Pranab Kumar
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 41.1992, 2, p. 212-219
Publisher:	Elsevier
Keywords:	spherical uniformity orthogonal hyperplanes polar transformation Cauchy distribution

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

Persistent link: https://www.econbiz.de/10005152873