Hammersley–Clifford theorem

id: hammersley-clifford-theorem-307-1763091
title: Hammersley–Clifford theorem
text: The Hammersley–Clifford theorem is a result in probability theory, mathematical statistics and statistical mechanics that gives necessary and sufficient conditions under which a strictly positive probability distribution can be represented as events generated by a Markov network. It is the fundamental theorem of random fields. It states that a probability distribution that has a strictly positive mass or density satisfies one of the Markov properties with respect to an undirected graph G if and
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original url: https://en.wikipedia.org/wiki/Hammersley%E2%80%93Clifford_theorem
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date modified: 2024-03-04T21:02:24Z
main entity: {"identifier":"Q5645731","url":"https://www.wikidata.org/entity/Q5645731"}
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