The binomial ideal of the intersection axiom for conditional probabilities
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🧮 math.ST
math.ACstat.TH
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intersectionaxiombinomialconditionalidealalgebraicassociatedcartwright
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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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