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TitleThe space of compatible full conditionals is a unimodular toric variety
Author(s) Aleksandra B. Slavkovic, Seth Sullivant
TypeArticle in Journal
AbstractThe 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.
KeywordsOdds ratios, Toric ideal, Unimodular
ISSN0747-7171
URL http://www.sciencedirect.com/science/article/pii/S0747717105001148
LanguageEnglish
JournalJournal of Symbolic Computation
Volume41
Number2
Pages196 - 209
Year2006
NoteComputational Algebraic Statistics Computational Algebraic Statistics
Edition0
Translation No
Refereed No
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