Exchangeable lower previsions

Gert de Cooman; Erik Quaeghebeur; Enrique Miranda

doi:10.3150/09-BEJ182

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Home > Journals > Bernoulli > Volume 15 > Issue 3 > Article

August 2009 Exchangeable lower previsions

Gert de Cooman, Erik Quaeghebeur, Enrique Miranda

Bernoulli 15(3): 721-735 (August 2009). DOI: 10.3150/09-BEJ182

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Abstract

We extend de Finetti’s [Ann. Inst. H. Poincaré 7 (1937) 1–68] notion of exchangeability to finite and countable sequences of variables, when a subject’s beliefs about them are modelled using coherent lower previsions rather than (linear) previsions. We derive representation theorems in both the finite and countable cases, in terms of sampling without and with replacement, respectively.

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Gert de Cooman. Erik Quaeghebeur. Enrique Miranda. "Exchangeable lower previsions." Bernoulli 15 (3) 721 - 735, August 2009. https://doi.org/10.3150/09-BEJ182

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Published: August 2009

First available in Project Euclid: 28 August 2009

zbMATH: 1202.60055

MathSciNet: MR2555196

Digital Object Identifier: 10.3150/09-BEJ182

Keywords: Bernstein polynomials , Coherence , Convergence in distribution , exchangeability , imprecise probability , lower prevision , multinomial sampling , representation theorem , sampling without replacement

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