Title : ( Clustering asymmetrical data with outliers: Parsimonious mixtures of contaminated mean-mixture of normal distributions )
Authors: Mehrdad Naderi , Mehdi Jabbari Nooghabi ,Abstract
Mixture modeling has emerged as a statistical tool to perform unsupervised model-based clustering for heterogeneous data. A framework of using the 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 oering 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.
Keywords
, Finite mixture model, Contaminated mean-mixture of normal distributions, EM-type algorithm, Eigenvalue decomposition, Outliers detection.@article{paperid:1094963,
author = {Naderi, Mehrdad and Jabbari Nooghabi, Mehdi},
title = {Clustering asymmetrical data with outliers: Parsimonious mixtures of contaminated mean-mixture of normal distributions},
journal = {Journal of Computational and Applied Mathematics},
year = {2024},
volume = {437},
month = {February},
issn = {0377-0427},
pages = {115433--115433},
numpages = {0},
keywords = {Finite mixture model; Contaminated mean-mixture of normal distributions; EM-type algorithm;
Eigenvalue decomposition; Outliers detection.},
}
%0 Journal Article
%T Clustering asymmetrical data with outliers: Parsimonious mixtures of contaminated mean-mixture of normal distributions
%A Naderi, Mehrdad
%A Jabbari Nooghabi, Mehdi
%J Journal of Computational and Applied Mathematics
%@ 0377-0427
%D 2024