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Conditional Independences Among Four Random Variables I.

by: F Matus, M Studeny


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Introduction Let N be a finite set and S(N) the family of all couples (ijjK) where K ae N and ij is the union of two, not necessarily different, singletons i and j of N Γ K. Elements and singletons of N are not distinguished and the unions of subsets of N are written simply as juxtapositions. Having a system of random variables ¸ = (¸ i ) i2N with subsystems ¸ K = (¸ k ) k2K , K ae N , we introduce the notation j[¸]j = f(ijjK) 2 S(N ); ¸ :<F45.


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