arXiv Statistics ML By Babak F. Dehkordi, Jeffrey L. Andrews, Andrew Jirasek

Robust model-based clustering via mixtures of multivariate pseudo-Voigt distributions

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The paper introduces a multivariate pseudo‑Voigt mixture model, combining Gaussian and Cauchy components with shared location and scale parameters, for robust clustering and outlier detection. Parameter estimation is performed using an EM algorithm that leverages latent variables for efficient likelihood inference. The authors evaluate the model through simulations and real data, comparing it to established robust mixtures such as contaminated normals, and demonstrate its effectiveness on heavy‑tailed datasets.

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