Iterative conditional fitting for discrete chain graph models

COMPSTAT 2008 - Proceedings in Computational Statistics, 18th Symposium

Volumn , Issue , 2008, Pages 93-104

  Drton, Mathias ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

Categorical data; Chain graph; Conditional independence; Graphical model

Indexed keywords

CLUSTERING ALGORITHMS; ITERATIVE METHODS; MAXIMUM LIKELIHOOD ESTIMATION; REGRESSION ANALYSIS;

CATEGORICAL DATA; CHAIN GRAPH; CONDITIONAL INDEPENDENCES; GRAPHICAL MODEL; INDEPENDENCE MODELS; LIKELIHOOD FUNCTIONS; MAXIMUM LIKELIHOOD ESTIMATE; MULTIVARIATE REGRESSION;

GRAPH THEORY;

EID: 68949156750     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-7908-2084-3_8     Document Type: Conference Paper

References (11)

1. ALI, R.A., RICHARDSON, T.S., SPIRTES, P. and ZHANG, J. (2005): Towards characterizing Markov equivalence classes for directed acyclic graphs with latent variables. In: F. Bacchus and T. Jaakkola (Eds.): Proc. 21st Conference on Uncertainty in Artificial Intelligence. AUAI Press, Corvallis, Oregon, 10-17.
2. ANDERSSON, S.A., MADIGAN, D. and PERLMAN, M.D. (2001): Alternative Markov properties for chain graphs. Scand. J. Statist. 28, 33-85.
3. CHAUDHURI, S., DRTON, M. and RICHARDSON, T.S. (2007): Estimation of a covariance matrix with zeros. Biometrika 94, 199-216.
4. DRTON, M. (2008): Discrete chain graph models. Manuscript.
5. DRTON, M. and RICHARDSON, T.S. (2008a): Binary models for marginal independence. J. R. Stat. Soc. Ser. B. 70, 287-309. (Software and data available at http://www.blackwellpublishing.com/rss/Volumes/Bv70p2.htm)
6. DRTON, M. and RICHARDSON, T.S. (2008b): Graphical methods for efficient likelihood inference in Gaussian covariance models. Preprint available at arXiv:0708.1321.
7. KOSTER, J.T.A. (1999): On the validity of the Markov interpretation of path diagrams of Gaussian structural equation systems with correlated errors. Scand. J. Statist. 26, 413-431.
8. LAURITZEN, S.L. (1996): Graphical Models. Oxford University Press, Oxford, 1996.
9. LUPPARELLI, M., MARCHETTI, G.M. and BERGSMA, W.P. (2008): Parameterizations and fitting of bi-directed graph models to categorical data. Preprint available at arXiv:0801.1440.
10. RICHARDSON, T.S. and SPIRTES, P. (2002): Ancestral graph Markov models. Ann. Statist. 30, 962-1030.
11. WERMUTH, N. and COX, D.R. (2004): Joint response graphs and separation induced by triangular systems. J. R. Stat. Soc. Ser. B 66, 687-717.