Ex. 17.2

Ex. 17.2

Consider random variables \(X_1, X_2, X_3, X_4\). In each of the following cases draw a graph that has the given independence relations:

(a) \(X_1\bot X_3|X_2\) and \(X_2\bot X_4|X_3\).

(b) \(X_1\bot X_4|X_2, X_3\) and \(X_2\bot X_4|X_1, X_3\).

(c) \(X_1\bot X_4|X_2, X_3, X_1\bot X_3|X_2, X_4\) and \(X_3\bot X_4|X_1, X_2\).

Soln. 17.2

(a)

(b)

(c)