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What is Entropy Bounds for Independent Sums about?

When two random variables X and Y are independent, the entropy of their sum Z=X+Y is bounded as: Max{H(X), H(Y)} ≤ H(Z) ≤ H(X) + H(Y) The lower bound is achieved when X and Y can be recovered from Z. The upper bound is achieved when Z provides no additional information about X and Y beyond what is known from their individual distributions. Three examples are provided to illustrate these properties.

Author

Aditya Gupta

Language

EN