Journal of Algebraic Combinatorics

, Volume 33, Issue 3, pp 455–463

The binomial ideal of the intersection axiom for conditional probabilities


    • Department of MathematicsNorth Carolina State University

DOI: 10.1007/s10801-010-0253-5


The binomial ideal associated with the intersection axiom of conditional probability is shown to be radical and is expressed as an intersection of toric prime ideals. This solves a problem in algebraic statistics posed by Cartwright and Engström.


Conditional independence Intersection axiom

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© The Author(s) 2010