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(Reference retrieved automatically from Google Scholar through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Sets of probability distributions, independence, and convexity

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Author(s):
Cozman, Fabio G. [1]
Total Authors: 1
Affiliation:
[1] Univ Sao Paulo, Escola Politecn, Sao Paulo - Brazil
Total Affiliations: 1
Document type: Journal article
Source: SYNTHESE; v. 186, n. 2, p. 577-600, 2012.
Web of Science Citations: 22
Abstract

This paper analyzes concepts of independence and assumptions of convexity in the theory of sets of probability distributions. The starting point is Kyburg and Pittarelli's discussion of "convex Bayesianism" (in particular their proposals concerning E-admissibility, independence, and convexity). The paper offers an organized review of the literature on independence for sets of probability distributions; new results on graphoid properties and on the justification of "strong independence" (using exchangeability) are presented. Finally, the connection between Kyburg and Pittarelli's results and recent developments on the axiomatization of non-binary preferences, and its impact on "complete" independence, are described. (AU)

FAPESP's process: 08/03995-5 - Logprob: probabilistic logic --- foundations and computational applications
Grantee:Marcelo Finger
Support Opportunities: Research Projects - Thematic Grants