𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Distributions on spheres and random variables distributed on the interval (−1,1)

✍ Scribed by James R. Schott


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
187 KB
Volume
62
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

✦ Synopsis


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 ÿnal 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 speciÿc features as well as to generate random vectors having these distributions.


📜 SIMILAR VOLUMES