zbMATH — the first resource for mathematics

Clustering criteria for discrete data and latent class models. (English) Zbl 0775.62150

62H30 Classification and discrimination; cluster analysis (statistical aspects)
Full Text: DOI
[1] AITCHISON, J., and AITKEN, C. G. G. (1976), ”Multivariate Binary Discrimination by the Kernel method,”Biometrika, 63, 413–420. · Zbl 0344.62035 · doi:10.1093/biomet/63.3.413
[2] BENZÉCRI, J. P. (1973), ”Théorie de l’Information et Classification d’après un Tableau de Contingence,”L’Analyse des Données, tome 1, Paris: Dunod, 207–236.
[3] BEZDEK, J. C., HATHAWAY, R. J., HOWARD, R. E., WILSON, C. A., and WINDHAM, M. P. (1987), ”Local Convergence Analysis of a Grouped Variable Version of Coordinate Descent,”Journal of Optimization and Applications, 54, 471–477. · Zbl 0597.90076 · doi:10.1007/BF00940196
[4] BOCK, H. H. (1986), ”Loglinear Models and Entropy Clustering Methods for Qualitative Data,” inClassification as a Tool of Research, Eds., W. Gaul and M. Schader, Amsterdam: North-Holland, 19–26. · Zbl 0588.62101
[5] BOCK, H. H. (1989), ”Probabilistic Aspects in Cluster Analysis,” inConceptual and Numerical Analysis of Data, Ed., O. Opitz, Berlin: Springer-Verlag 12–44.
[6] BOZDOGAN H. (1987), ”Selecting Loglinear Models and Subset Selection of Variables in Multiway Contingency Tables using Akaike’s Information Criterion,” inClassification and Related Methods of Data Analysis, Ed., H. H. Bock, Amsterdam: North-Holland, 609–616.
[7] BRYANT, P. (1988), ”On Characterizing Optimization-Based Clustering Methods,”Journal of Classification, 5, 81–84. · doi:10.1007/BF01901672
[8] BRYANT, P., and WILLIAMSON, J. A. (1978), ”Asymptotic Behaviour of Classification Maximum Likelihood Estimates,”Biometrika, 65, 273–281. · Zbl 0393.62011 · doi:10.1093/biomet/65.2.273
[9] BRYANT, P., and WILLIAMSON, J. A. (1986), ”Maximum Likelihood and Classification: A Comparison of Three Approaches,” inClassification as a Tool of Research, Eds., W. Gaul and M. Schader, Amsterdam: North-Holland, 33–45. · Zbl 0587.62103
[10] CELEUX, G. (1988), ”Classification et Modèles,”Revue de Statistique Appliquée, 36, 4, 43–58. · Zbl 0972.62527
[11] DEMPSTER, A. P., LAIRD, N. M., and RUBIN, D. B. (1977), ”Maximum Likelihood from Incomplete Data via the EM Algorithm (with discussion),”Journal of the Royal Statistical Society, B 39, 1–38. · Zbl 0364.62022
[12] DIDAY, E., and SIMON J. C. (1976), ”Clustering Analysis,” inDigital Pattern, Recognition, Ed., K. S. Fu, Berlin: Springer-Verlag, 47–94. · Zbl 0331.62043
[13] EVERITT, B. (1984),An Introduction to Latent Variable Models, London: Chapman and Hall. · Zbl 0583.62049
[14] GANESALINGAM S. (1989), ”Classification and Mixture Approach to Clustering via Maximum Likelihood,”Applied Statistics, 38, 455–466. · Zbl 0707.62121 · doi:10.2307/2347733
[15] GOODMAN, L. A. (1974), ”Exploratory Latent Structure Models using both Identifiable and Unidentifiable Models,”Biometrika, 61, 215–231. · Zbl 0281.62057 · doi:10.1093/biomet/61.2.215
[16] GOVAERT, G. (1983),Classification Croisée, Thesis Université Paris 6.
[17] MARRIOTT, F. H. C. (1975), ”Separating Mixtures of Normal Distributions,”Biometrics, 31, 767–769. · Zbl 0308.62050 · doi:10.2307/2529563
[18] SCOTT, A. J., and SYMONS, M. J. (1971), ”Clustering Methods Based on Likelihood Ratio Criteria,”Biometrics, 27, 387–397. · doi:10.2307/2529003
[19] STOUFFER, S. A., and TOBY, J. (1951), ”Role Conflict and Personality,”American Journal of Sociology, 56, 395–406. · doi:10.1086/220785
[20] WINDHAM, M. P. (1987), ”Parameter Modification for Clustering,”Journal of Classification, 4, 191–214. · Zbl 0662.62066 · doi:10.1007/BF01896986
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.