Extensions of belief functions and possibility distributions by using the imprecise Dirichlet model

@article{Utkin2005ExtensionsOB,
  title={Extensions of belief functions and possibility distributions by using the imprecise Dirichlet model},
  author={Lev V. Utkin},
  journal={Fuzzy Sets and Systems},
  year={2005},
  volume={154},
  pages={413-431}
}
A belief function can be viewed as a generalized probability function and the belief and plausibility measures can be regarded as lower and upper bounds for the probability of an event. However, the classical probabilistic interpretation used for computing belief and plausibility measures may be unreasonable in many real applications when the number of observations or measurements is rather small. In order to overcome this difficulty, Walley’s imprecise Dirichlet model is used to extend the… CONTINUE READING

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A mathematical theory of evidence

View 6 Excerpts
Highly Influenced

and G

E. Quaeghebeu
de Cooman. Game-theoretic learning using the imprecise Dirichlet model. In J.-M. Bernard, T. Seidenfeld, and M. Zaffalon, editors, Proc. of the 3rd Int. Symposium on Imprecise Probabilities and Their Applications, ISIPTA’03, pages 450–464, Lugano, Switzerland, July • 2003
View 4 Excerpts
Highly Influenced

Inferences from multinomial data: Learning about a bag of marbles

P. Walley
Journal of the Royal Statistical Society, Series B, 58:3–57, • 1996
View 12 Excerpts
Highly Influenced

Updating beliefs with incomplete observations

Artif. Intell. • 2004
View 5 Excerpts
Highly Influenced

Exact credal treatment of missing data

M. Zaffalon
Journal of Statistical Planning and Inference, 105(1):105–122, • 2002
View 5 Excerpts
Highly Influenced

An introduction to the imprecise Dirichlet model for multinomial data

J.-M. Bernard
International Journal of Approximate Reasoning, • 2005

Optimal statistical decisions for hospital report cards.

Medical decision making : an international journal of the Society for Medical Decision Making • 2005
View 1 Excerpt

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