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Tag Archives: exposition
Proofs of DoobDynkin Lemma
Table of Contents 1. uniqueness of H 2. counterexamples 3. proof when g has a countable range, with nice Y 4. proof when Y is the Cantor space 5. proof when Y is the unit interval 6. proof for standard … Continue reading
Shannon’s entropy of random variables and partitions
Table of Contents 1. entropy for dummies 1.1. definition of entropy of r.v. and joint entropy 1.2. the town 1.3. intuition for entropy and its properties 1.4. intuition for the notion of surprisal 2. intuition for conditional entropy and its … Continue reading
Posted in Mathematics
Tagged entropy, ergodic theory, exposition, information theory, intuition
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