Connecting Dempster–Shafer Belief Functions with Likelihood-based Inference
- Mikel Aickin
- … show all 1 hide
Purchase on Springer.com
$39.95 / €34.95 / £29.95*
Rent the article at a discountRent now
* Final gross prices may vary according to local VAT.
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.
- Birnbaum, A.: 1962, 'On the Foundations of Statistical Inference' (with discussion), Journal of the American Statistical Association 57, 269–326.
- Clayton, D. and M. Hills: 1993, Statistical Models in Epidemiology, Oxford University Press, Oxford, UK.
- Edwards, A. W. F.: 1972, Likelihood, Cambridge University Press, Cambridge, UK.
- Royall, R. M.: 1997, Statistical Evidence: A Likelihood Paradigm, Chapman and Hall, London, UK.
- Shafer, G.: 1976, A Mathematical Theory of Evidence, Princeton University Press, Princeton, NJ.
- Shafer, G.: 1982, 'Belief Functions and Parametric Models' (with discussion), Journal of the Royal Statistical Society, Series B 44, 322–52.
- Yager, R. R., J. Kacprzyk, M. Fedrizzi (eds.): 1994, Advances in the Dempster-Shafer Theory of Evidence, John Wiley & Sons, New York, NY.
- Connecting Dempster–Shafer Belief Functions with Likelihood-based Inference
Volume 123, Issue 3 , pp 347-364
- Cover Date
- Print ISSN
- Online ISSN
- Kluwer Academic Publishers
- Additional Links
- Industry Sectors
- Mikel Aickin (1)
- Author Affiliations
- 1. Center for Health Research, 3800 N. Interstate Ave, Portland, OR, 97227-1098, U.S.A.