Equivalence between Bayesian and credal nets on an updating problem
Authors: Alessandro Antonucci and Marco Zaffalon
Abstract: We establish an intimate connection between Bayesian and credal nets. Bayesian nets are precise graphical models, credal nets extend Bayesian nets to imprecise probability. We focus on traditional belief updating with credal nets, and on the kind of belief updating that arises with Bayesian nets when the reason for the missingness of some of the unobserved variables in the net is unknown. We show that the two updating problems are formally the same.
Details: In Lawry, J. and Miranda, E. and Bugarin, A. and Li, S. and Gil, M. A. and Grzegorzewski, P. and Hryniewicz, O. (Eds.), Proceedings of third international conference on Soft Methods in Probability and Statistics (SMPS-2006). Springer, pp. 223-230.
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