The space of compatible full conditionals is a unimodular toric variety

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dc.creatorSlavkovic, Aleksandra B
dc.creatorSullivant, Seth
dc.date2004-05-04
dc.date.accessioned2026-07-07T08:06:15Z
dc.date.available2026-07-07T08:06:15Z
dc.descriptionThe set of all m-tuples of compatible full conditional distributions on discrete random variables is an algebraic set whose defining ideal is a unimodular toric ideal. We identify the defining polynomials of these ideals with closed walks on a bipartite graph. Our algebraic characterization provides a natural generalization of the requirement that compatible conditionals have identical odds ratios and holds regardless of the patterns of zeros in the conditional arrays.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0405046
dc.identifierhttp://arxiv.org/abs/math/0405046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130545
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subjectStatistics Theory
dc.titleThe space of compatible full conditionals is a unimodular toric variety
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