Connecting Dempster–Shafer Belief Functions with Likelihood-based Inference
- Cite this article as:
- Aickin, M. Synthese (2000) 123: 347. doi:10.1023/A:1005287422506
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.