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Modelling with star-shaped distributions

Liebscher Eckhard, Richter Wolf-Dieter

Dependence Modeling · 2020

doi:10.1515/demo-2020-0003 (opens in a new tab)

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Abstract

We 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.

Abstract licence: CC BY

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