, Volume 123, Issue 3, pp 347–364

Connecting Dempster–Shafer Belief Functions with Likelihood-based Inference

  • Mikel Aickin

DOI: 10.1023/A:1005287422506

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.

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Mikel Aickin
    • 1
  1. 1.Center for Health ResearchPortlandU.S.A.