Contaminated Kent mixture model for clustering non-spherical directional data with heavy tails or scatter

Aqi Dong and Volodymyr Melnykov

Statistics & Probability Letters, 2024, vol. 208, issue C

Abstract: To cluster asymmetrically distributed data on a sphere, a Kent mixture model is commonly used. However, the performance of such a model can be severely affected by the presence of heavy tails or outliers. A novel contaminated Kent mixture model is proposed to alleviate this issue. As demonstrated via a series of simulation studies and applications to real-life data sets, the developed model shows superior performance over existing alternatives for non-spherical heavy-tailed data.

Keywords: Contaminated mixture; Directional data; Heavy tails; Kent mixture model (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spl.2024.110058

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