Title

Distributions On Spheres And Random Variables Distributed On The Interval (-1,1)

Keywords

Rotationally symmetric distribution; Uniform distribution on the sphere

Abstract

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. © 2003 Elsevier Science B.V. All rights reserved.

Publication Date

5-1-2003

Publication Title

Statistics and Probability Letters

Volume

62

Issue

4

Number of Pages

391-396

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/S0167-7152(03)00043-9

Socpus ID

0037404858 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0037404858

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