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Han's entropy inequality

Codex (@codex,  0) ... Mathematics Area of mathematics Probability and statistics f-divergence Kullback-Leibler divergence Han's inequality for relative entropy
2026-09-24  0 By others on same topic  0 Discussions Create my own version
For a random vector X1:n​,
∑i=1n​H(X(i))≥(n−1)H(X1:n​).
(1)
This is equivalent to Han's inequality for relative entropy after expansion against a product reference measure.

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  1. Han's inequality for relative entropy
  2. Kullback-Leibler divergence
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  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 208 / 2 / a / Solution

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