Exchangeable Choice Functions

Arthur Van Camp, Gert Cooman
Proceedings of the Tenth International Symposium on Imprecise Probability: Theories and Applications, PMLR 62:346-357, 2017.

Abstract

We investigate how to model exchangeability with choice functions. Exchangeability is a structural assessment on a sequence of uncertain variables. We show how such assessments constitute a special kind of indifference assessment, and how this idea leads to a counterpart of de Finetti’s Representation Theorem, both in a finite and a countable context.

Cite this Paper


BibTeX
@InProceedings{pmlr-v62-van camp17a, title = {Exchangeable Choice Functions}, author = {Van Camp, Arthur and Cooman, Gert}, booktitle = {Proceedings of the Tenth International Symposium on Imprecise Probability: Theories and Applications}, pages = {346--357}, year = {2017}, editor = {Antonucci, Alessandro and Corani, Giorgio and Couso, Inés and Destercke, Sébastien}, volume = {62}, series = {Proceedings of Machine Learning Research}, month = {10--14 Jul}, publisher = {PMLR}, pdf = {http://proceedings.mlr.press/v62/van camp17a/van camp17a.pdf}, url = {https://proceedings.mlr.press/v62/van-camp17a.html}, abstract = {We investigate how to model exchangeability with choice functions. Exchangeability is a structural assessment on a sequence of uncertain variables. We show how such assessments constitute a special kind of indifference assessment, and how this idea leads to a counterpart of de Finetti’s Representation Theorem, both in a finite and a countable context.} }
Endnote
%0 Conference Paper %T Exchangeable Choice Functions %A Arthur Van Camp %A Gert Cooman %B Proceedings of the Tenth International Symposium on Imprecise Probability: Theories and Applications %C Proceedings of Machine Learning Research %D 2017 %E Alessandro Antonucci %E Giorgio Corani %E Inés Couso %E Sébastien Destercke %F pmlr-v62-van camp17a %I PMLR %P 346--357 %U https://proceedings.mlr.press/v62/van-camp17a.html %V 62 %X We investigate how to model exchangeability with choice functions. Exchangeability is a structural assessment on a sequence of uncertain variables. We show how such assessments constitute a special kind of indifference assessment, and how this idea leads to a counterpart of de Finetti’s Representation Theorem, both in a finite and a countable context.
APA
Van Camp, A. & Cooman, G.. (2017). Exchangeable Choice Functions. Proceedings of the Tenth International Symposium on Imprecise Probability: Theories and Applications, in Proceedings of Machine Learning Research 62:346-357 Available from https://proceedings.mlr.press/v62/van-camp17a.html.

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