Discrete mixture representations of spherical distributions

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Ludwig Baringhaus
  • Rudolf Grübel

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OriginalspracheEnglisch
Seiten (von - bis)557-596
Seitenumfang40
FachzeitschriftStatistical papers
Jahrgang65
Ausgabenummer2
Frühes Online-Datum15 Feb. 2023
PublikationsstatusVeröffentlicht - Apr. 2024

Abstract

We obtain discrete mixture representations for parametric families of probability distributions on Euclidean spheres, such as the von Mises–Fisher, the Watson and the angular Gaussian families. In addition to several special results we present a general approach to isotropic distribution families that is based on density expansions in terms of special surface harmonics. We discuss the connections to stochastic processes on spheres, in particular random walks, discrete mixture representations derived from spherical diffusions, and the use of Markov representations for the mixing base to obtain representations for families of spherical distributions.

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Discrete mixture representations of spherical distributions. / Baringhaus, Ludwig; Grübel, Rudolf.
in: Statistical papers, Jahrgang 65, Nr. 2, 04.2024, S. 557-596.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Baringhaus L, Grübel R. Discrete mixture representations of spherical distributions. Statistical papers. 2024 Apr;65(2):557-596. Epub 2023 Feb 15. doi: 10.48550/arXiv.2301.03870, 10.1007/s00362-023-01393-5
Baringhaus, Ludwig ; Grübel, Rudolf. / Discrete mixture representations of spherical distributions. in: Statistical papers. 2024 ; Jahrgang 65, Nr. 2. S. 557-596.
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