causaldag.classes.dag.DAG.local_markov_statements¶

DAG.local_markov_statements() → Set[Tuple[Any, FrozenSet[T_co], FrozenSet[T_co]]][source]¶

Return the local Markov statements of this DAG, i.e., those of the form i independent nondescendants(i) given the parents of i.

Returns:	The set of tuples of the form (`i`, `A`, `C`) representing the local Markov statements of the DAG via (`i` independent of `A` given `C`).
Return type:	set

Examples

>>> import causaldag as cd
>>> g = cd.DAG(arcs={(1, 2), (3, 2)})
>>> g.local_markov_statements()
{(1, frozenset({3}), frozenset()), (2, frozenset(), frozenset({1, 3})), (3, frozenset({1}), frozenset())}