Exchangeable lower previsions

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dc.creatorde Cooman, Gert
dc.creatorQuaeghebeur, Erik
dc.creatorMiranda, Enrique
dc.date2008-01-08
dc.date.accessioned2026-07-07T08:53:18Z
dc.date.available2026-07-07T08:53:18Z
dc.descriptionWe extend de Finetti's (1937) 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 prove representation theorems in both the finite and the countable case, in terms of sampling without and with replacement, respectively. We also establish a convergence result for sample means of exchangeable sequences. Finally, we study and solve the problem of exchangeable natural extension: how to find the most conservative (point-wise smallest) coherent and exchangeable lower prevision that dominates a given lower prevision.
dc.description1 figure. 26 pages. Submitted for publication
dc.identifierhttps://arxiv.org/abs/0801.1265
dc.identifierhttp://arxiv.org/abs/0801.1265
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145572
dc.subjectProbability
dc.subjectStatistics Theory
dc.subjectMethodology
dc.titleExchangeable lower previsions
dc.typetext

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