Diagnostic Procedures for Spherically Symmetric Distributions

2014 ◽  
pp. 177-183
Author(s):  
Simos G. Meintanis
Keyword(s):  
Diagnostic Procedures ◽  
Spherically Symmetric ◽  
Symmetric Distributions

Spline approximations to spherically symmetric distributions

1986 ◽  
Vol 49 (2-3) ◽  
pp. 111-121 ◽  
Author(s):  
Walter Gautschi ◽  
Gradimir V. Milovanović
Keyword(s):  
Spherically Symmetric ◽  
Symmetric Distributions

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

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Chris Sherlock ◽  
Daniel Elton
Keyword(s):  
Functional Form ◽  
Marginal Distribution ◽  
Random Variables ◽  
Spherically Symmetric ◽  
Sufficient Condition ◽  
Elliptical Distributions ◽  
Symmetric Distributions ◽  
One Dimensional ◽  
Elliptically Symmetric Distributions

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 of the functional form of the density and then show that the property carries through to equivalent elliptically symmetric distributions, provided that the contours are not too eccentric, in a sense which we make precise. Individual components of such distributions possess a number of appealing Gaussian-like limit properties, in particular that the limiting one-dimensional marginal distribution along any component is Gaussian.

Spherically Symmetric Distributions

2018 ◽  
pp. 127-150
Author(s):  
Dominique Fourdrinier ◽  
William E. Strawderman ◽  
Martin T. Wells
Keyword(s):  
Spherically Symmetric ◽  
Symmetric Distributions
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