[機統] conditional entropy

[debdeb ()]

Let X, Y and Z be random variables.

Prove that H(X,Y｜Z) = H(X｜Z) + H(Y｜X,Z)


這題想滿久的，也google過但還是想不出來Orz

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推 m80126colin :P(X,Y|Z) = P(X|Z) * P(Y|X,Z)
→ jurian0101  :然後取Log?