Relations among conditional probabilities

Mathematics – Probability

Scientific paper

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20 pages,11 figures

Scientific paper

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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