scholarly journals Sharp Beckner-type inequalities for Cauchy and spherical distributions

2020 ◽  
Vol 251 (3) ◽  
pp. 219-245
Author(s):  
Dominique Bakry ◽  
Ivan Gentil ◽  
Grégory Scheffer
Keyword(s):  
Spherical Distributions

scholarly journals Modelling with star-shaped distributions

2020 ◽  
Vol 8 (1) ◽  
pp. 45-69
Author(s):  
Eckhard Liebscher ◽  
Wolf-Dieter Richter
Keyword(s):  
Probabilistic Models ◽  
Arbitrary Dimension ◽  
Probability Density Functions ◽  
Density Functions ◽  
Wide Range ◽  
Gaussian Density ◽  
Spherical Distributions ◽  
Data Points ◽  
Non Gaussian ◽  
General Method

AbstractWe prove and describe in great detail a general method for constructing a wide range of multivariate probability density functions. We introduce probabilistic models for a large variety of clouds of multivariate data points. In the present paper, the focus is on star-shaped distributions of an arbitrary dimension, where in case of spherical distributions dependence is modeled by a non-Gaussian density generating function.

Characterizations of multivariate spherical distributions inl ∞-norm

Test ◽  
1998 ◽  
Vol 7 (2) ◽  
pp. 307-324 ◽  
Author(s):  
Pilar L. Iglesias ◽  
Carlos A. B. Pereira ◽  
Nelson I. Tanaka
Keyword(s):  
Spherical Distributions

scholarly journals The Role of Orthogonal Polynomials in Tailoring Spherical Distributions to Kurtosis Requirements

Symmetry ◽  
2016 ◽  
Vol 8 (8) ◽  
pp. 77
Author(s):  
Luca Bagnato ◽  
Mario Faliva ◽  
Maria Zoia
Keyword(s):  
Orthogonal Polynomials ◽  
Spherical Distributions

On some characterizations of spherical distributions

2001 ◽  
Vol 54 (3) ◽  
pp. 227-232 ◽  
Author(s):  
Reinaldo B. Arellano-Valle
Keyword(s):  
Spherical Distributions
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