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Model--based clustering for spherical and hyper--spherica...
[Submitted on 26 May 2026] · 2026-05-28 · via stat updates on arXiv.org

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Abstract:Model--based clustering for directional data data has attracted a lot of interest, but most methods utilize rotationally symmetric distributions. This paper suggests the use of elliptically symmetric distributions, namely the elliptically symmetric angular Gaussian and the spherical elliptically symmetric projected Cauchy distributions that were recently proposed in the literature for modelling spherical data. The expectation--maximization algorithm is employed and the inclusion of covariates is also examined. Simulation studies compare the two distributions in terms of choosing the optimal number of clusters and computational cost. We use the mixtures of these two distributions to cluster two datasets on the sphere (earthquake locations) and two hyper--spherical datasets.

Submission history

From: Michail Tsagris [view email]
[v1] Tue, 26 May 2026 17:44:04 UTC (4,408 KB)