Model determination for directed acyclic graphs

Journal of the Royal Statistical Society Series D: The Statistician

Volumn 50, Issue 3, 2001, Pages 243-256

  Consonni, G ^a   Leucari, V ^b  

^a UNIVERSITY OF PAVIA   (Italy)

^b NONE

Author keywords

Bayesian networks; BUGS; Directed acyclic graphs; Model determination; Probabilistic expert systems

Indexed keywords

EID: 0039296309     PISSN: 00390526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9884.00275     Document Type: Article

References (15)

1. Andersson, S. A., Madigan, D. and Perlman, M. D. (1997) A characterization of Markov equivalence classes for acyclic digraphs. Ann. Statist., 25, 505-541.
2. Consonni, G. and Veronese, P. (2001) Conditionally reducible natural exponential families and enriched conjugate priors. Scand. J. Statist., 28, 1-30.
3. Cooper, G. F. and Herscovits, E. (1992) A Bayesian method for the induction of probabilistic networks from data. Mach. Learn., 9, 309-347.
4. Cowell, R. G., Dawid, A. P., Lauritzen, S. L. and Spiegelhalter, D. J. (1999) Probabilistic Networks and Expert Systems. New York: Springer.
5. Fowlkes, E. B., Freeny, A. E. and Landwehr, J. M. (1988) Evaluating logistic models for large contingency tables. J. Am. Statist. Ass., 83, 611-622.
6. George, E. I. and McCulloch, R. E. (1993) Variable selection via Gibbs sampling. J. Am. Statist. Ass., 88, 881-889.
7. Giudici, P. and Green, P. J. (1999) Decomposable graphical gaussian model determination. Biometrika, 87, 785-801.
8. Green, P. J. (1995) Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika, 82, 711-732.
9. Heckerman, D., Geiger, D. and Chickering, D. M. (1995) Learning Bayesian networks: the combination of knowledge and statistical data. Mach. Learn., 20, 197-243.
10. Madigan, D., Andersson, S. A., Perlman, M. D. and Volinsky, C. T. (1996) Bayesian model averaging and model selection for Markov equivalence classes of acyclic digraphs. Communs Statist. Theory Meth., 25, 2493-2519.
11. Madigan, D. and Raftery, A. E. (1994) Model selection and accounting for model uncertainty in graphical models using Occam's window. J. Am. Statist. Ass., 89, 1535-1546.
12. Pearl, J. (1986) Fusion, propagation and structuring in belief networks. Artif. Intell., 29, 241-288.
13. _(2000) Causality. Cambridge: Cambridge University Press.
14. Spiegelhalter, D. J., Thomas, A. and Best, N. G. (1999) WinBUGS Version 1.2 User Manual. Cambridge: Medical Research Council Biostatistics Unit.
15. Spirtes, P., Glymour, C. and Scheines, R. (1993) Causality, Prediction and Search. New York: Springer.