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arXiv · 1503.00572

Mode Poset Probability Polytopes

Guido Montufar·Johannes Rauh
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Abstract

A mode of a probability vector is a local maximum with respect to some vicinity structure on the set of elementary events. The mode inequalities cut out a polytope from the simplex of probability vectors. Related to this is the concept of strong modes. A strong mode of a distribution is an elementary event that has more probability mass than all its direct neighbors together. The set of probability distributions with a given set of strong modes is again a polytope. We study the vertices, the facets, and the volume of such polytopes depending on the sets of (strong) modes and the vicinity structures.

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Guido Montufar, Johannes Rauh. 2015-02-27. Mode Poset Probability Polytopes. https://arxiv.org/abs/1503.00572

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