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- W4315706460 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." @default.
- W4315706460 created "2023-01-12" @default.
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- W4315706460 date "2023-01-10" @default.
- W4315706460 modified "2023-09-25" @default.
- W4315706460 title "Discrete mixture representations of spherical distributions" @default.
- W4315706460 doi "https://doi.org/10.48550/arxiv.2301.03870" @default.
- W4315706460 hasPublicationYear "2023" @default.
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