Synthese

, Volume 123, Issue 3, pp 347–364 | Cite as

Connecting Dempster–Shafer Belief Functions with Likelihood-based Inference

  • Mikel Aickin

Abstract

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.

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References

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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

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

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