The binomial ideal of the intersection axiom for conditional probabilities
Statistics Theory
2009-12-04 v4 Commutative Algebra
Statistics Theory
Abstract
The binomial ideal associated with the intersection axiom of conditional probability is shown to be radical and is expressed as intersection of toric prime ideals. This resolves a conjecture in algebraic statistics due to Cartwright and Engstr\"om.
Keywords
Cite
@article{arxiv.0902.1495,
title = {The binomial ideal of the intersection axiom for conditional probabilities},
author = {Alex Fink},
journal= {arXiv preprint arXiv:0902.1495},
year = {2009}
}
Comments
7 pages. Main proof rewritten to foreground equalities of Hilbert functions, for clarity; other minor changes