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A mathematical quantity designed to measure the amount of randomness of a random variable.

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Clarification on statistical notation of mutual information

.$$ where $H$ is the entropy. Question: I am not sure what is meant by the expressions $I(X;Y|Z)$ and $H(X|Y,Z)$ -- does one consider first the joint distribution and then condition, or vice versa? … $$I(X;(Y|Z)), \quad \text{ not } \quad I((X;Y)|Z)\,.$$ My interpretation of $H(X|Y,Z)$ is the entropy of the random variable X given the joint random variables Y and Z. …
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