Graphical model: Difference between revisions

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is equal to the product of the [[conditional probability|conditional probabilities]]
 
:P(''X<sub>i</sub>'' | parents of ''X<sub>i</sub>'') for ''i'' = 1,...,''n''.
 
In other words, the [[probability distribution|joint distribution]] factors into a product of conditional distributions. The graph structure indicates direct dependencies among random variables. Any two nodes that are not in a descendant/ancestor relationship are conditionally [[statistical independence|independent]] given the values of their parents.