Clustering asymmetrical data with outliers: Parsimonious mixtures of contaminated mean-mixture of normal distributions

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  • Mehrdad Naderi
  • Mehdi Jabbari Nooghabi

Mixture modeling has emerged as a statistical tool to perform unsupervised model-based clustering for heterogeneous data. A framework of using contaminated mean-mixture of normal distributions as the components of the mixture model is designed to accommodate asymmetric data with outliers. Fourteen parsimonious variants of the postulated model are introduced by employing an eigenvalue decomposition of the component scale matrices. Simultaneously clustering and outliers detection is an outstanding advantage of the proposed model in analyzing non-normally distributed data. A computationally feasible and flexible EM-type algorithm is outlined for obtaining maximum likelihood parameter estimates. Moreover, the score vector and empirical information matrix for calculating asymptotic standard errors of the parameter estimates are derived by offering an information-based approach. The applicability of the proposed method is demonstrated through the analysis of simulated and real datasets with varying proportions of outliers.

TidsskriftJournal of Computational and Applied Mathematics
Antal sider18
StatusUdgivet - 2024

Bibliografisk note

Funding Information:
The authors gratefully acknowledge the Editor, Fatih Tank, and an anonymous referee for their comments and suggestions that significantly improved the quality of this paper. Mehrdad Naderi was partially supported by a grant from Ferdowsi University of Mashhad (No. FUM-14002794075 ).

Publisher Copyright:
© 2023 Elsevier B.V.

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