TY - JOUR
T1 - Graphoid properties of epistemic irrelevance and independence
AU - Cozman, Fabio G.
AU - Walley, Peter
PY - 2005/1/1
Y1 - 2005/1/1
N2 - This paper investigates Walley's concepts of epistemic irrelevance and epistemic independence for imprecise probability models. We study the mathematical properties of irrelevance and independence, and their relation to the graphoid axioms. Examples are given to show that epistemic irrelevance can violate the symmetry, contraction and intersection axioms, that epistemic independence can violate contraction and intersection, and that this accords with informal notions of irrelevance and independence. © Springer 2005.
AB - This paper investigates Walley's concepts of epistemic irrelevance and epistemic independence for imprecise probability models. We study the mathematical properties of irrelevance and independence, and their relation to the graphoid axioms. Examples are given to show that epistemic irrelevance can violate the symmetry, contraction and intersection axioms, that epistemic independence can violate contraction and intersection, and that this accords with informal notions of irrelevance and independence. © Springer 2005.
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U2 - 10.1007/s10472-005-9004-z
DO - 10.1007/s10472-005-9004-z
M3 - Article
SN - 1012-2443
SP - 173
EP - 195
JO - Annals of Mathematics and Artificial Intelligence
JF - Annals of Mathematics and Artificial Intelligence
ER -