Robust mixture modelling using the t distribution

Authors:
D. Peel;G. J. McLachlan
Affiliations:
Department of Mathematics, University of Queensland, St. Lucia, Queensland 4072, Australia;Department of Mathematics, University of Queensland, St. Lucia, Queensland 4072, Australia. gjm@maths.uq.edu.au
Venue:
Statistics and Computing
Year:
2000

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Abstract

Normal mixture models are being increasingly used to model the distributions of a wide variety of random phenomena and to cluster sets of continuous multivariate data. However, for a set of data containing a group or groups of observations with longer than normal tails or atypical observations, the use of normal components may unduly affect the fit of the mixture model. In this paper, we consider a more robust approach by modelling the data by a mixture of t distributions. The use of the ECM algorithm to fit this t mixture model is described and examples of its use are given in the context of clustering multivariate data in the presence of atypical observations in the form of background noise.