Markov Properties for Acyclic Directed Mixed Graphs

Thomas Richardson

Scandinavian Journal of Statistics, 2003, vol. 30, issue 1, 145-157

Abstract: We consider acyclic directed mixed graphs, in which directed edges (x→y) and bi‐directed edges (x↔y) may occur. A simple extension of Pearl's d‐separation criterion, called m‐separation, is applied to these graphs. We introduce a local Markov property which is equivalent to the global property resulting from the m‐separation criterion for arbitrary distributions.

Date: 2003
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