Maximum likelihood estimation of mixtures of factor analyzers
AbstractMixtures of factor analyzers have been receiving wide interest in statistics as a tool for performing clustering and dimension reduction simultaneously. In this model it is assumed that, within each component, the data are generated according to a factor model. Therefore, the number of parameters on which the covariance matrices depend is reduced. Several estimation methods have been proposed for this model, both in the classical and in the Bayesian framework. However, so far, a direct maximum likelihood procedure has not been developed. This direct estimation problem, which simultaneously allows one to derive the information matrix for the mixtures of factor analyzers, is solved. The effectiveness of the proposed procedure is shown on a simulation study and on a toy example.
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Bibliographic InfoArticle provided by Elsevier in its journal Computational Statistics & Data Analysis.
Volume (Year): 55 (2011)
Issue (Month): 9 (September)
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Web page: http://www.elsevier.com/locate/csda
Model-based clustering Information matrix Maximum likelihood;
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- McLachlan, G. J. & Peel, D. & Bean, R. W., 2003. "Modelling high-dimensional data by mixtures of factor analyzers," Computational Statistics & Data Analysis, Elsevier, vol. 41(3-4), pages 379-388, January.
- Boldea, Otilia & Magnus, Jan R., 2009.
"Maximum Likelihood Estimation of the Multivariate Normal Mixture Model,"
23149, University Library of Munich, Germany.
- Boldea, Otilia & Magnus, Jan R., 2009. "Maximum Likelihood Estimation of the Multivariate Normal Mixture Model," Journal of the American Statistical Association, American Statistical Association, vol. 104(488), pages 1539-1549.
- Raftery, Adrian E. & Dean, Nema, 2006. "Variable Selection for Model-Based Clustering," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 168-178, March.
- Zhou, Xingcai & Liu, Xinsheng, 2008. "The EM algorithm for the extended finite mixture of the factor analyzers model," Computational Statistics & Data Analysis, Elsevier, vol. 52(8), pages 3939-3953, April.
- Wang, Wan-Lun, 2013. "Mixtures of common factor analyzers for high-dimensional data with missing information," Journal of Multivariate Analysis, Elsevier, vol. 117(C), pages 120-133.
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