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Conditional probabilities and permutahedron
- 1.0411095 - UTIA-B 20030082 RIV FR eng J - Journal Article
Matúš, František
Conditional probabilities and permutahedron.
Annales de L Institut Henri Poincare-Probabilites Et Statistiques. Roč. 39, č. 4 (2003), s. 687-701. ISSN 0246-0203
R&D Projects: GA AV ČR IAA1075104; GA ČR GA201/01/1482
Institutional research plan: CEZ:AV0Z1075907
Keywords : conditional probability space * permutahedron * lattice of faces
Subject RIV: BA - General Mathematics
Impact factor: 0.789, year: 2003
The conditional probabilities of finite conditional probability spaces are considered for points of a smooth manifold of conditional charges. A linear diffeomorphism on the manifold is constructed so that the conditional probabilities map bijectively onto a permutahedron. The facial structure of the permutahedron corresponds to the ways conditional probability spaces decompose. A new global inversion lemma is devised.
Permanent Link: http://hdl.handle.net/11104/0131182
Number of the records: 1