Distributions on spheres and random variables distributed on the interval (-1,1)
Abbreviated Journal Title
Stat. Probab. Lett.
rotationally symmetric distribution; uniform distribution on the sphere; Statistics & Probability
In this paper, we look at a simple relationship between a random vector having a continuous distribution on the unit m-sphere and m random variables, m - 1 of which have a distribution on the interval (- 1, 1), while the final random variable is a discrete one taking on the values -1 and 1. This relationship can be particularly useful when these m random variables are independently distributed. In this case, it can be used to construct distributions on the unit m-sphere having specific features as well as to generate random vectors having these distributions. (C) 2003 Elsevier Science B.V. All rights reserved.
Statistics & Probability Letters
"Distributions on spheres and random variables distributed on the interval (-1,1)" (2003). Faculty Bibliography 2000s. 4006.