Polyhedral Star-Shaped Distributions-Reference-Cited by-同舟云学术

Polyhedral Star-Shaped Distributions

Published:2017 Issue: Volume:2017 Page:1-23
ISSN:1687-952X
Container-title:Journal of Probability and Statistics
language:en
Short-container-title:Journal of Probability and Statistics

Author:

Richter Wolf-Dieter¹^ORCID,Schicker Kay¹

Affiliation:

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

Abstract

A new method of probabilistic modelling of polyhedrally contoured sample clouds is presented and applied to statistical reasoning for a real dataset. Various representations of the new class of polyhedral star-shaped distributions are derived and basic properties of the moments as well as characteristic and moment generating functions of these distributions are studied. Along with location-scale transformations, estimating and hypothesis testing are dealt with.

Publisher

Hindawi Limited

Subject

Statistics and Probability

Link

http://downloads.hindawi.com/journals/jps/2017/7176897.pdf

Reference46 articles.

1. Disparities in Premature Mortality Between High- and Low-Income US Counties

2. Star-shaped distributions and their generalizations

3. Multivariate distributions defined in terms of contours

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