Exchangeable Choice Functions

Arthur Van Camp; Gert Cooman

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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