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PATTERN CLUSTERING BY MULTIVARIATE MIXTURE ANALYSIS
Abstract
Cluster analysis is reformulated as a problem of estimating the para- meters of a mixture of multivariate distributions. The maximum-likelihood theory and numerical solution techniques are developed for a fairly general class of distributions. The theory is applied to mixtures of multivariate nor- mals (NORMIX) and mixtures of multivariate Bernoulli distributions (Latent Classes). The feasibility of the procedures is demonstrated by two examples of computer solutions for normal mixture models of the Fisher Iris data and of artifjcially generated clusters with unequal covariance matrices.
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Citations
Cited by
Maximum Likelihood from Incomplete Data Via the EM Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444
“Except hat Wolfe (1970) referred toHasselblad (1966), all these authors apparently worked independently.”
BackgroundMethodInfluentialMcLachlan, G., & Peel, D. (2000) · Wiley Series in Probability and Statistics · doi:10.1002/0471721182 · Cited by 10,991
Testing the number of components in a normal mixture
Lo, Y. (2001) · Biometrika · doi:10.1093/biomet/88.3.767 · Cited by 4,640
An entropy criterion for assessing the number of clusters in a mixture model
Celeux, G., & Soromenho, G. (1996) · Journal of Classification · doi:10.1007/bf01246098 · Cited by 2,448
Nonparametric maximum likelihood estimation of a mixing distribution
Laird, N. (1978) · Journal of the American Statistical Association · doi:10.1080/01621459.1978.10480103 · Cited by 753
Metadata
- Authors
- Wolfe, J. H.
- Venue
- Multivariate Behavioral Research
- Publisher
- Informa UK Limited
- Published
- 1970-04
- Volume
- 5
- Issue
- 3
- Pages
- 329-350
- ISSN
- 0027-3171 (ISSN-L)
- 1532-7906
- OpenAlex
- W2118570622
- Cited by
- 609
- References
- 0
- FWCI
- 7.16
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wolfe, J. H. (1970). PATTERN CLUSTERING BY MULTIVARIATE MIXTURE ANALYSIS. Multivariate Behavioral Research. https://doi.org/10.1207/s15327906mbr0503_6
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