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Connecting Dempster-Shafer Belief Functions with Likelihood-Based Inference

Mikel Aickin
Synthese
Vol. 123, No. 3 (Jun., 2000), pp. 347-364
Published by: Springer
Stable URL: http://www.jstor.org/stable/20118288
Page Count: 18
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Connecting Dempster-Shafer Belief Functions with Likelihood-Based Inference
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Abstract

The Dempster-Shafer approach to expressing belief about a parameter in a statistical model is not consistent with the likelihood principle. This inconsistency has been recognized for some time, and manifests itself as a non-commutativity, in which the order of operations (combining belief, combining likelihood) makes a difference. It is proposed here that requiring the expression of belief to be committed to the model (and to certain of its submodels) makes likelihood inference very nearly a special case of the Dempster-Shafer theory.

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