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Polyhedral Star-Shaped Distributions

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  • Wolf-Dieter Richter
  • Kay Schicker

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.

Suggested Citation

  • Wolf-Dieter Richter & Kay Schicker, 2017. "Polyhedral Star-Shaped Distributions," Journal of Probability and Statistics, Hindawi, vol. 2017, pages 1-23, February.
    • Handle: RePEc:hin:jnljps:7176897
    DOI: 10.1155/2017/7176897
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    Cited by:

    1. Wolf-Dieter Richter, 2019. "High-dimensional star-shaped distributions," Journal of Statistical Distributions and Applications, Springer, vol. 6(1), pages 1-12, December.

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