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Please use this identifier to cite or link to this item: http://hdl.handle.net/1808/519
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Title: No Double Counting Semantics for Conditional Independence
Authors: Shenoy, Prakash P.
Keywords: Conditional independence
no double counting sematics
distinct evidence
independent pieces of evidence
graphoid axioms
Dempster-Shafer's theory of evidence
Spohn's theory of epistemic beliefs
possibility theory
valuation-based systems
Issue Date: Jul-2005
Publisher: Society for Imprecise Probability Theory and Applications (SIPTA, www.sipta.org)
Extent: 1033672 bytes
Type: Book chapter
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.
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.
URI: http://hdl.handle.net/1808/519
Appears in Collections:School of Business Articles

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