%0 Journal Article
%T Coherence and extensions of stochastic matrices
%A Angelo Gilio
%A Fulvio Spezzaferri
%J Le Matematiche
%D 1995
%I University of Catania
%X In this paper a review of some general results on coherence of conditional probability assessments is given. Then, a necessary and sufficient condition on coherence of two finite families of discrete conditianal probability distributions, represented by two stochastic matrices P and Q, is obtained. Moreover, the possible extensions of the assessment (P,Q) to the marginal distributions are examined and explicit formulas for them are given in some special case. Finally, a general algorithm to check coherence of (P,Q) and to derive its extensions is proposed.
%K Conditional events
%K Coherence principle
%K Discrete probability distributions
%K Stochastic matrices
%U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/504