The space of compatible full conditionals is a unimodular toric variety

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The 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.
15 pages

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Algebraic Geometry, Combinatorics, Statistics Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/130545

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405046
 http://arxiv.org/abs/math/0405046

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arXiv