The binomial ideal of the intersection axiom for conditional probabilities

Details The binomial ideal of the intersection axiom for conditional probabilities The binomial ideal of the intersection axiom for conditional probabilities

2009-02-09

arxiv.org/abs/0902.1495v4

Mathematics

Statistics Theory

7 pages. Main proof rewritten to foreground equalities of Hilbert functions, for clarity; other minor changes

Scientific paper

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.

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