Ancestral graph

Ancestral graph

An ancestral graph is a graph with three types of edges: directed edge, bidirected edge, and undirected edge such that it can be decomposed into three parts: an undirected subgraph, a directed subgraph, and directed edges pointing from the undirected subgraph to the directed subgraph.

An ancestral graph "G" over nodes "V" is maximal if for every pair ("x", "y") of non-adjacent nodes in "G", there exists a set "Z" of nodes in "V" {"x", "y"} such that "x" and "y" are "m"-separated by "Z" in "G".

In statistics, an ancestral graph can be used to represent the statistical dependencies, and notional causative effects, between random variables.


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