Extreme points of coherent probabilities in finite spaces

DOI10.1016/j.ijar.2006.07.017zbMath1114.60010OpenAlexW2038175742MaRDI QIDQ881805

Anton Wallner

Publication date: 18 May 2007

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2006.07.017

zbMATH Keywords

extreme pointpolyhedronpolytopecorestructurevertexcoherent probabilityinterval probabilitycredal set0/1-matrixF-probability

Mathematics Subject Classification ID

Combinatorial probability (60C05)

Related Items (11)

A graphical study of comparative probabilities ⋮ Geometry of possibility measures on finite sets ⋮ Centroids of credal sets: a comparative study ⋮ Concepts for decision making under severe uncertainty with partial ordinal and partial cardinal preferences ⋮ Kurt Weichselberger's contribution to imprecise probabilities and statistical inference ⋮ Centroids of the core of exact capacities: a comparative study ⋮ Errors bounds for finite approximations of coherent lower previsions on finite probability spaces ⋮ Outer approximating coherent lower probabilities with belief functions ⋮ Normal cones corresponding to credal sets of lower probabilities ⋮ Approximate credal network updating by linear programming with applications to decision making ⋮ Extreme points of the credal sets generated by comparative probabilities

Cites Work

• Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion
• Linear optimization and extensions
• Cores of convex games
• Minimax tests and the Neyman-Pearson lemma for capacities
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