Uniform Distributions on Spheres in Finite DimensionalLαand Their Generalizations
AbstractWe characterize uniform distributions on spheres in n-dimensional spacesLαby certain Cauchy-like (n−1)-dimensional distributions of the quotients and derive some properties of mixtures of uniform distributions on such spheres, i.e.,α-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.
|Journal series||Journal of Multivariate Analysis, ISSN 0047-259X|
|Keywords in English||Cauchy distribution, distributions of quotients, spaceLα, uniform distributions on spheres|
|Publication indicators||: 2006 = 0.763 (2) - 2007=0.925 (5)|
|Citation count*||22 (2015-04-21)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.