Monotonicity of entropy and Fisher information: a quick proof via maximal correlation

DOI10.4310/CIS.2016.V16.N2.A2zbMath1365.60047arXiv1610.04174OpenAlexW2553412270MaRDI QIDQ2356799

Thomas A. Courtade

Publication date: 6 June 2017

Published in: Communications in Information and Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04174

zbMATH Keywords

entropyFisher informationsumsi.i.d. random variablesmaximal correlation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

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