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Zbl 0972.62527
Celeux, G.
Classification and models. (Classification et modèles.)
(French)
[J] Rev. Stat. Appl. 36, No.4, 43-57 (1988). ISSN 0035-175X

Summary: We establish the relations between some well-known criteria for clustering and some statistical models. The criteria for continuous data are associated with Gaussian mixtures. The Kullback information criterion and the $\chi^2$ criterion for discrete data are associated with the latent classes model. This presentation of clustering criteria in an inferential framework allows us to study in a precise way the features and limits of many techniques of numerical classification.
MSC 2000:
*62H30 Statistical classification, etc.
62B10 Statistical information theory
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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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