Journal of Algebraic Combinatorics

, Volume 33, Issue 3, pp 455–463

The binomial ideal of the intersection axiom for conditional probabilities

Authors

    • Department of MathematicsNorth Carolina State University
Open AccessArticle

DOI: 10.1007/s10801-010-0253-5

Cite this article as:
Fink, A. J Algebr Comb (2011) 33: 455. doi:10.1007/s10801-010-0253-5

Abstract

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.

Keywords

Conditional independence Intersection axiom

Copyright information

© The Author(s) 2010