And the set d-separations the dag subset ind
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(a) | (b) |
Example 10.13 Suppose V = {X, Y, Z, W} and
IND = {I({X}, {Z}|{Y, W}), I({Y }, {W}|{X, Z})}.
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X | Y | Z | W |
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Figure 10.15: Given V = {X, Y, Z, W, T} and IND consists of the d-separations in the DAG in (a) restricted to these variables, Algorithm 10.4 will produce the DAG in (b) or one with W → T instead of W ← T.
pattern containing the d-separations. The next example shows a situation in which the output of Algorithm 10.4 is a DAG, but the set of d-separations in the DAG is not a subset of IND.