Title
Strong Conditional Independence for Credal Sets
Abstract
This paper investigates the concept of strong conditional independence for sets of probability measures. Couso, Moral and Walley [7] have studied different possible definitions for unconditional independence in imprecise probabilities. Two of them were considered as more relevant: epistemic independence and strong independence. In this paper, we show that strong independence can have several extensions to the case in which a conditioning to the value of additional variables is considered. We will introduce simple examples in order to make clear their differences. We also give a characterization of strong independence and study the verification of semigraphoid axioms.
Year
DOI
Venue
2002
10.1023/A:1014555822314
Ann. Math. Artif. Intell.
Keywords
Field
DocType
imprecise probabilities,credal sets,coherence,conditioning,conditional independence,semigraphoid axioms
Econometrics,Discrete mathematics,Conditional independence,Axiom,Probability measure,Coherence (physics),Mathematics
Journal
Volume
Issue
ISSN
35
1-4
1573-7470
Citations 
PageRank 
References 
22
1.50
13
Authors
2
Name
Order
Citations
PageRank
Serafín Moral11218145.79
Andrés Cano219320.06