Loading...
No Double Counting Semantics for Conditional Independence
Shenoy, Prakash P.
Shenoy, Prakash P.
Citations
Altmetric:
Abstract
The main goal of this paper is to describe a new semantic for conditional independence in terms of no double counting of uncertain evidence. For ease of exposition, we use probability calculus to state all results. But the results generalize easily to any calculus that fits in the
framework of valuation-based systems. Thus, the results described in this paper apply also, for example, to Dempster-Shafer’s (D-S) belief function theory, to Spohn’s epistemic beliefs theory, and to Zadeh’s possibility theory. The concept of independent (or distinct) evidence in D-S belief function theory is analogous to the concept of conditional independence for variables in probability theory.
Description
Date
2005-07
Journal Title
Journal ISSN
Volume Title
Publisher
Society for Imprecise Probability Theory and Applications (SIPTA, www.sipta.org)
Research Projects
Organizational Units
Journal Issue
Keywords
Conditional independence, No double counting sematics, Distinct evidence, Independent pieces of evidence, Graphoid axioms, Dempster-Shafer evidence theory, Spohn's theory of epistemic beliefs, Possibility theory, Valuation-based systems
Citation
Shenoy, P. P. (2005), "No double counting semantics for conditional independence," in F. G. Cozman, R. Nau, and T. Seidenfeld (eds.), Proceedings of the Fourth International Symposium on Imprecise Probabilities and Their Applications, pp. 306--314, Society for Imprecise Probability Theory and Applications.