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arxiv: 0808.1149 · v1 · submitted 2008-08-08 · 🧮 math.PR · math.AG· math.ST· stat.ML· stat.TH

Relations among conditional probabilities

classification 🧮 math.PR math.AGmath.STstat.MLstat.TH
keywords conditionalcasedescribeprobabilitiesprobabilityrelationsbasiscases
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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.

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