Question

What is the Causal Markov Condition when using DAGs?

Answer 1

A DAG over $V$ and a probability distribution $P(V)$ satisfy the Causal Markov Condition if and only if

• $G$ is a causal graph
• $P(V)$ is generated by the structure represented by $G$
• $G$ and $P(V)$ satisfy the Markov Condition

Comments

Formally, it says that subject to the set of all its direct causes, a node is independent of all the variables which are not direct causes or direct effects of that node.