Maximal Number of Vertices of Polytopes Defined by F-Probabilities

被引：0
|
作者：
Wallner, Anton [1 ]
机构：
[1] Univ Munich, Munich, Germany
来源：
ISIPTA 05-PROCEEDINGS OF THE FOURTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITIES AND THEIR APPLICATIONS | 2005年
关键词：
Geometry of interval probability; number of vertices of structures/cores/credal sets; combinatorial theory of polyhedra; 0/1-matrices;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Every F-probability (= coherent probability) F on a finite sample space Omega(k) with k elements defines a set of classical probabilities in accordance with the interval limits. This set, called "structure" of F, is a convex polytope having dimension <= k - 1. We prove that the maximal number of vertices of structures is exactly k!.
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页码：388 / 395
页数：8
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