Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Representation theorems for partially exchangeable random variables

Full text
Author(s):
De Bock, Jasper [1] ; Van Camp, Arthur [1] ; Diniz, Marcio A. [2] ; de Cooman, Gert [1]
Total Authors: 4
Affiliation:
[1] Univ Ghent, SYSTeMS Res Grp, B-9052 Zwijnaarde - Belgium
[2] Fed Univ S Carlos, Dept Stat, Sao Carlos - Brazil
Total Affiliations: 2
Document type: Journal article
Source: FUZZY SETS AND SYSTEMS; v. 284, p. 1-30, FEB 1 2016.
Web of Science Citations: 4
Abstract

We provide representation theorems for both finite and countable sequences of finite-valued random variables that are considered to be partially exchangeable. In their most general form, our results are presented in terms of sets of desirable gambles, a very general framework for modelling uncertainty. Its key advantages are that it allows for imprecision, is more expressive than almost every other imprecise-probabilistic framework and makes conditioning on events with (lower) probability zero non-problematic. We translate our results to more conventional, although less general frameworks as well: lower previsions, linear previsions and probability measures. The usual, precise-probabilistic representation theorems for partially exchangeable random variables are obtained as special cases. (C) 2014 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 12/14764-0 - Imprecise probabilities and de Finetti's theorems
Grantee:Marcio Alves Diniz
Support Opportunities: Scholarships abroad - Research