Relations among conditional probabilities
Probability
2008-08-11 v1 Algebraic Geometry
Statistics Theory
Machine Learning
Statistics Theory
Abstract
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.
Cite
@article{arxiv.0808.1149,
title = {Relations among conditional probabilities},
author = {Jason Morton},
journal= {arXiv preprint arXiv:0808.1149},
year = {2008}
}
Comments
20 pages,11 figures