Title
Extension of the mixture of factor analyzers model to incorporate the multivariate t-distribution
Abstract
Mixtures of factor analyzers enable model-based density estimation to be undertaken for high-dimensional data, where the number of observations n is small relative to their dimension p. However, this approach is sensitive to outliers as it is based on a mixture model in which the multivariate normal family of distributions is assumed for the component error and factor distributions. An extension to mixtures of t-factor analyzers is considered, whereby the multivariate t-family is adopted for the component error and factor distributions. An EM-based algorithm is developed for the fitting of mixtures of t-factor analyzers. Its application is demonstrated in the clustering of some microarray gene-expression data.
Year
DOI
Venue
2007
10.1016/j.csda.2006.09.015
Computational Statistics & Data Analysis
Keywords
Field
DocType
factor distribution,factor analyzers model,dimension p,high-dimensional data,multivariate t-family,microarray gene-expression data,component error,multivariate normal family,t-factor analyzer,em-based algorithm,factor analyzer,multivariate t-distribution,em algorithm,multivariate normal,density estimation,high dimensional data,multivariate t distribution,mixture model,computer science
Multivariate t-distribution,Econometrics,Density estimation,Multivariate statistics,Expectation–maximization algorithm,Outlier,Multivariate normal distribution,Statistics,Cluster analysis,Mathematics,Mixture model
Journal
Volume
Issue
ISSN
51
11
Computational Statistics and Data Analysis
Citations 
PageRank 
References 
48
2.62
9
Authors
3
Name
Order
Citations
PageRank
G. J. McLachlan146949.38
Richard Bean236933.05
L. Ben-Tovim Jones31429.50