Introduction to Information and Coding Theory
نویسنده
چکیده
(a) If X − Y − Z −W is a Markov chain, then X − Y − Z and Y − Z −W are Markov chains. (b) If X − Y − Z and Y − Z −W are Markov chains, then X − Y − Z −W is a Markov chain. (c) If P (x, y, z, w) = P (x)p(y|x)P (z, w), then X − Y − (Z,W ) is a Markov chain. (d) If X ⊥ Y and Y ⊥ Z, then X ⊥ Z. (e) If the conditional distribution P (x|y, z) is a deterministic function of (x, y), then X − Y − Z is a Markov chain.
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