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Please use this identifier to cite or link to this item: http://hdl.handle.net/1808/989
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Title: On Walley's Combination Rule for Statistical Evidence
Authors: Cinicioglu, Esma Nur
Shenoy, Prakash P.
Keywords: Dempster-Shafer belief function theory
Walley's rule of combination
Dempster's rule of combination
partially consonant belief functions
Issue Date: Jul-2006
Publisher: Éditions E.D.K., 33, rue Bezout, 75014 Paris
Extent: 581317 bytes
Type: Article
Citation: Cinicioglu, E. N. and P. P. Shenoy, "On Walley's combination rule for statistical evidence," in Proceedings of the Eleventh International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU-06), July 2006, Les Cordeliers, Paris, pp. 386--394.
Abstract: Dempster’s rule of combination is the commonly used rule for combining independent belief functions. In 1987, Peter Walley proposed an alternative rule for combining belief function representations of independent statistical evidence that result in partially consonant belief functions. In this paper, we examine in detail Walley’s combination rule and compare it with Dempster’s rule. We illustrate the commonalities and differences between the two rules using a simple coin tossing example. Also, we characterize the class of partially consonant belief functions. Finally we show that if we reduce a belief function to a probability distribution using the plausibility transformation, the two combination rules result in the same probability distribution function.
URI: http://hdl.handle.net/1808/989
ISBN: 2-84254-112-X
Appears in Collections:School of Business Articles

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