Exchangeability for sets of desirable gambles
- Author
- Gert de Cooman (UGent) and Erik Quaeghebeur (UGent)
- Organization
- Abstract
- Sets of desirable gambles constitute a quite general type of uncertainty model with an interesting geometrical interpretation. We study exchangeability assessments for such models, and prove a counterpart of de Finetti's finite representation theorem. We show that this representation theorem has a very nice geometrical interpretation. We also lay bare the relationships between the representations of updated exchangeable models, and discuss conservative inference (natural extension) under exchangeability.
- Keywords
- coherence, exchangeability, sets of desirable gambles, weak desirability, representation, desirability, natural extension, real desirability, updating
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-718913
- MLA
- de Cooman, Gert, and Erik Quaeghebeur. “Exchangeability for Sets of Desirable Gambles.” ISIPTA ’09 : Proceedings of the Sixth International Symposium on Imprecise Probability : Theories and Applications, edited by Thomas Augustin et al., Society for Imprecise Probability : Theories and Applications (SIPTA), 2009, pp. 159–68.
- APA
- de Cooman, G., & Quaeghebeur, E. (2009). Exchangeability for sets of desirable gambles. In T. Augustin, F. P. Coolen, S. Moral, & M. C. Troffaes (Eds.), ISIPTA ’09 : proceedings of the sixth international symposium on imprecise probability : theories and applications (pp. 159–168). Manno, Switzerland: Society for Imprecise Probability : Theories and Applications (SIPTA).
- Chicago author-date
- Cooman, Gert de, and Erik Quaeghebeur. 2009. “Exchangeability for Sets of Desirable Gambles.” In ISIPTA ’09 : Proceedings of the Sixth International Symposium on Imprecise Probability : Theories and Applications, edited by Thomas Augustin, Frank PA Coolen, Serafin Moral, and Matthias CM Troffaes, 159–68. Manno, Switzerland: Society for Imprecise Probability : Theories and Applications (SIPTA).
- Chicago author-date (all authors)
- de Cooman, Gert, and Erik Quaeghebeur. 2009. “Exchangeability for Sets of Desirable Gambles.” In ISIPTA ’09 : Proceedings of the Sixth International Symposium on Imprecise Probability : Theories and Applications, ed by. Thomas Augustin, Frank PA Coolen, Serafin Moral, and Matthias CM Troffaes, 159–168. Manno, Switzerland: Society for Imprecise Probability : Theories and Applications (SIPTA).
- Vancouver
- 1.de Cooman G, Quaeghebeur E. Exchangeability for sets of desirable gambles. In: Augustin T, Coolen FP, Moral S, Troffaes MC, editors. ISIPTA ’09 : proceedings of the sixth international symposium on imprecise probability : theories and applications. Manno, Switzerland: Society for Imprecise Probability : Theories and Applications (SIPTA); 2009. p. 159–68.
- IEEE
- [1]G. de Cooman and E. Quaeghebeur, “Exchangeability for sets of desirable gambles,” in ISIPTA ’09 : proceedings of the sixth international symposium on imprecise probability : theories and applications, Durham, England, 2009, pp. 159–168.
@inproceedings{718913, abstract = {{Sets of desirable gambles constitute a quite general type of uncertainty model with an interesting geometrical interpretation. We study exchangeability assessments for such models, and prove a counterpart of de Finetti's finite representation theorem. We show that this representation theorem has a very nice geometrical interpretation. We also lay bare the relationships between the representations of updated exchangeable models, and discuss conservative inference (natural extension) under exchangeability.}}, author = {{de Cooman, Gert and Quaeghebeur, Erik}}, booktitle = {{ISIPTA '09 : proceedings of the sixth international symposium on imprecise probability : theories and applications}}, editor = {{Augustin, Thomas and Coolen, Frank PA and Moral, Serafin and Troffaes, Matthias CM}}, keywords = {{coherence,exchangeability,sets of desirable gambles,weak desirability,representation,desirability,natural extension,real desirability,updating}}, language = {{eng}}, location = {{Durham, England}}, pages = {{159--168}}, publisher = {{Society for Imprecise Probability : Theories and Applications (SIPTA)}}, title = {{Exchangeability for sets of desirable gambles}}, url = {{http://www.sipta.org/isipta09/proceedings/059.html}}, year = {{2009}}, }