Relations among conditional probabilities

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We describe a Groebner basis of relations among conditional probabilities in a discrete probability space, with any set of conditioned-upon events. They may be specialized to the partially-observed random variable case, the purely conditional case, and other special cases. We also investigate the connection to generalized permutohedra and describe a conditional probability simplex.
20 pages,11 figures

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Probability, Algebraic Geometry, Statistics Theory, Machine Learning, 60A05; 13P10; 14M25; 52B20

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http://salesiana.dossiersoluciones.com/handle/123456789/166699

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.1149
 http://arxiv.org/abs/0808.1149

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arXiv