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

    Authors

    J. R. Schott

    Abbreviated Journal Title

    Stat. Probab. Lett.

    Keywords

    rotationally symmetric distribution; uniform distribution on the sphere; Statistics & Probability

    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. (C) 2003 Elsevier Science B.V. All rights reserved.

    Journal Title

    Statistics & Probability Letters

    Volume

    62

    Issue/Number

    4

    Publication Date

    1-1-2003

    Document Type

    Article

    Language

    English

    First Page

    391

    Last Page

    396

    WOS Identifier

    WOS:000182641100008

    ISSN

    0167-7152

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