Exercise 13.21 [pv-xyz-exercise]
Show that the statement of conditional independence \({\textbf{P}}(X,Y Z) = {\textbf{P}}(XZ) {\textbf{P}}(YZ)\) is equivalent to each of the statements \({\textbf{P}}(XY,Z) = {\textbf{P}}(XZ) \quad\mbox{and}\quad {\textbf{P}}(YX,Z) = {\textbf{P}}(YZ)\ .\)
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