Convex and Radially Concave Contoured Distributions-Reference-Cited by-同舟云学术

Convex and Radially Concave Contoured Distributions

Published:2015 Issue: Volume:2015 Page:1-12
ISSN:1687-952X
Container-title:Journal of Probability and Statistics
language:en
Short-container-title:Journal of Probability and Statistics

Author:

Richter Wolf-Dieter¹

Affiliation:

1. Institute of Mathematics, University of Rostock, Ulmenstraße 69, Haus 3, 18057 Rostock, Germany

Abstract

Integral representations of the locally defined star-generalized surface content measures on star spheres are derived for boundary spheres of balls being convex or radially concave with respect to a fan inRn. As a result, the general geometric measure representation of star-shaped probability distributions and the general stochastic representation of the corresponding random vectors allow additional specific interpretations in the two mentioned cases. Applications to estimating and testing hypotheses on scaling parameters are presented, and two-dimensional sample clouds are simulated.

Publisher

Hindawi Limited

Subject

Statistics and Probability

Link

http://downloads.hindawi.com/journals/jps/2015/165468.pdf

Reference16 articles.

1. A semiparametric density estimator based on elliptical distributions

2. Continuous Bivariate Distributions

3. Geometric disintegration and star-shaped distributions

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