Functionally compatible local characteristics for the local specification of priors in graphical models

Scandinavian Journal of Statistics

Volumn 34, Issue 4, 2007, Pages 829-840

  Asci, Claudio ^a   Piccioni, Mauro ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Gibbs sampler; Graphical models; Marginal problem

Indexed keywords

EID: 36749094027     PISSN: 03036898     EISSN: 14679469     Source Type: Journal    
DOI: 10.1111/j.1467-9469.2006.00551.x     Document Type: Article

References (12)

1. Asci, C. Piccioni, M. (2003). The IPF algorithm when the marginal problem is unsolvable: the simplest case. Kybernetika 39, 731 737.
2. Barndorff-Nielsen, O. E. (1978). Information and exponential families in statistical theory. Wiley, New York.
3. Consonni, G. Leucari, V. (2006). Reference priors for discrete graphical models. Biometrika 93, 23 40.
4. Dawid, A. P. Laurizen, S. L. (1993). Hyper Markov laws in the statistical analysis of decomposable graphical models. Ann. Statist. 21, 1272 1317.
5. Diaconis, P. Ylvisaker, D. (1979). Conjugate priors for exponential families. Ann. Statist. 7, 269 281.
6. Gelman, A., Carlin, J. B., Stern, H. S. Rubin, D. B. (1995). Bayesian data analysis. Chapman & Hall, London.
7. Gutiérrez-Peňa, E. Rueda, R. (2003). Reference priors for exponential families. J. Statist. Plann. Inference 110, 35 54.
8. Hobert, J. P. Casella, G. (1998). Functional compatibility, Markov chains, and Gibbs sampling with improper posteriors. J. Comput. Graph. Statist. 7, 42 60.
9. Jiroušek, R. (1991). Solution of the marginal problem and decomposable distributions. Kybernetika 27, 403 412.
10. Lauritzen, S. L. (1996). Graphical models. Clarendon Press, Oxford.
11. Piccioni, M. (2000). Independence structure of natural conjugate densities to exponential families and the Gibbs Sampler. Scand. J. Statist. 27, 111 127.
12. Schafer, J. L. (1997). Analysis of incomplete multivariate data. Chapman & Hall, London.