A distribution factorizes according to a Directed acyclic graph when its joint density is the product of the conditional density of each variable given its graphical parents. This factorization implies the graph's global Markov property of a directed acyclic graph.
A distribution has the global Markov property for a Directed acyclic graph when every D-separation of vertex sets by a conditioning set implies the corresponding conditional independence of their random variables.

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  1. Causal directed acyclic graph
  2. Causal inference
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