[UAI] JPD for a DAG such that DAG is p-map

[Xiangdong An]

Hi everybody,

I am wodering if I generate a probabilisty distribution JPD
by generating a set of conditional probability distributions
{P(Xi|II(Xi))} for a DAG D on a topological ordering X1,X2,...,Xn
such that II(Xi) is the minimum set of predecessors satisfying
P(Xi|II(Xi))=P(Xi|X1,...,Xi-1).

Then the DAG D is the perfect map of the JPD? If not, there
is any practical way to generate them?

Xiangdong