We consider a finite family of conditional events and, among other results, we prove a connection property for the set of coherent assessments on such family. This property assures that, for every pair of coherent assessments on the family, there exists (at least) a continuous curve C whose points are intermediate coherent probability assessments. We also consider the compactness property for the set of coherent assessments. Then, as a corollary of connection and closure properties, we obtain the theorem of extension for coherent conditional probabilities. © Springer-Verlag Berlin Heidelberg 2005.
CITATION STYLE
Biazzo, V., & Gilio, A. (2005). Some theoretical properties of conditional probability assessments. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3571 LNAI, pp. 775–787). Springer Verlag. https://doi.org/10.1007/11518655_65
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