Mélanges de GLMs et nombre de composantes : application ... - Scor

Chapitre 4. Sélection de mélange de GLMs
Bibliographie
Akaike, H. (1973), Information theory as an extension of the maximum likelihood principle,
second international symposium on information theory edn, B.N Petrov and F. Csaki. 104,
107, 108
Baudry, J. (2009), Sélection de modèle pour la classification non supervisée. Choix du nombre
de classes., PhD thesis, Université Paris Sud XI. 115, 116, 117, 118, 124, 127, 131, 132, 134,
135, 160
Baudry, J.-P., Celeux, G. and Marin, J. (2008), Selecting models focussing on the modeler’s
purpose, Proceedings in Computational Statistics, Physica-Verlag, Heidelberg, pp. 337–348.
104
Bickel, P. and Doksum, K. (2001), Mathematical Statistics, Vol. I, Second Edition, Prentice
Hall. 131
Biernacki, C. (2000), ‘Assessing a mixture model for clustering with the integrated completed
likelihood’, IEEE Transactions on PAMI 22, 719–725. 132, 133, 134
Biernacki, C. (2009), ‘Pourquoi les modèles de mélange pour la classification ?’, MODULAD
40. 104, 122
Biernacki, C., Celeux, G., Govaert, G. and Langrognet, F. (2006), ‘Model-based cluster and
discriminant analysis with the mixmod software’, Computational Statistics and Data Analysis
51(2), 587–600. 132
Biernacki, C. and Govaert, G. (1997), ‘Using the classification likelihood to choose the number
of clusters’, Computer Science and Statistics 29, 451–457. 104
Celeux, G. and Govaert, G. (1992), ‘A classification em algorithm for clustering and two
stochastic versions’, Computational Statistics and Data Analysis 14(3), 315–332. 119
Celeux, G. and Soromenho, G. (1996), ‘An entropy criterion for assessing the number of
clusters in a mixture model’, Classification Journal (13), 195–212. 116
Cramér, H. (1946), Mathematical Methods of Statistics, Princeton University Press, Princeton.
106
Dempster, A., N.M., L. and D.B., R. (1977), ‘Maximum likelihood from incomplete data via
the em algorithm’, Journal of the Royal Statistical Society 39, 1–38. 115
Doob, J. (1934), ‘Probability and statistics’, Transactions of the American Mathematical Society
36. 106
Dudley, R. (1999), Uniform Central Limit Theorems, Cambridge Studies in Advanced Mathematics.
126
Dutang, C. (2011), Regression models of price elasticity in non-life insurance, Master’s thesis,
ISFA. Mémoire confidentiel - AXA Group Risk Management. 147
Fraley, C. and Raftery, A. (1998), ‘How many clusters ? which clustering method ? answer via
model-based cluster analysis’, The Computer Journal (41), 578–588. 116
172