Polyhedral Star-Shaped Distributions

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 characteri...

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Bibliographic Details
Main Authors: Wolf-Dieter Richter, Kay Schicker
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2017/7176897
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Summary: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.
ISSN:1687-952X
1687-9538