Uniform distributions on spheres in finite dimensional La and their generalizations

JOURNAL OF MULTIVARIATE ANALYSIS

卷:64

Article

Szablowski, PJ

关键词: uniform distributions on spheres;    Cauchy distribution;    space L-a;    distributions of quotients;   

DOI  :  10.1006/jmva.1997.1718

来源: Elsevier

【 摘 要 】

We characterize uniform distributions on spheres in n-dimensional spaces L-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. (C) 1998 Academic Press.

【 授权许可】

Free