Relations among conditional probabilities Export

@article{citeulike:3108367, 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.}, archivePrefix = {arXiv}, author = {Morton, Jason}, citeulike-article-id = {3108367}, citeulike-linkout-0 = {http://arxiv.org/abs/0808.1149}, citeulike-linkout-1 = {http://arxiv.org/pdf/0808.1149}, day = {8}, eprint = {0808.1149}, keywords = {algebraic, discrete, probability, statistics, theory}, month = {Aug}, posted-at = {2009-01-17 02:50:30}, priority = {4}, title = {Relations among conditional probabilities}, url = {http://arxiv.org/abs/0808.1149}, year = {2008} }

TY - JOUR ID - citeulike:3108367 L3 - citeulike-article-id:3108367 N2 - 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. TI - Relations among conditional probabilities KW - algebraic KW - discrete KW - probability KW - statistics KW - theory AU - Morton, Jason PY - 2008/Aug/08/ UR - http://arxiv.org/abs/0808.1149 ER -