A Class of Spherical and Elliptical Distributions with Gaussian-Like Limit Properties

We present a class of spherically symmetric random variables defined by the property that as dimension increases to infinity the mass becomes concentrated in a hyperspherical shell, the width of which is negligible compared to its radius. We provide a sufficient condition for this property in terms...

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Bibliographic Details
Main Authors: Chris Sherlock, Daniel Elton
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2012/467187
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