237488

(2000) Synthese 123 (3).

Connecting dempster–shafer belief functions with likelihood-based inference

Mikel Aickin

pp. 347-364

The Dempster–Shafer approach to expressing beliefabout a parameter in a statistical model is notconsistent with the likelihood principle. Thisinconsistency has been recognized for some time, andmanifests itself as a non-commutativity, in which theorder of operations (combining belief, combininglikelihood) makes a difference. It is proposed herethat requiring the expression of belief to be committed to the model (and to certain of itssubmodels) makes likelihood inference very nearly aspecial case of the Dempster–Shafer theory.

Publication details

DOI: 10.1023/A:1005287422506

Full citation:

Aickin, M. (2000). Connecting dempster–shafer belief functions with likelihood-based inference. Synthese 123 (3), pp. 347-364.

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