Asymptotics of the Shannon and Renyi entropies for sums of independent random variables

zbMath0921.62005MaRDI QIDQ1282491

Arkadii G. D'yachkov, Pavel A. Vilenkin

Publication date: 4 October 1999

Published in: Problems of Information Transmission (Search for Journal in Brave)

zbMATH Keywords

entropylocal limit theorem

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Sums of independent random variables; random walks (60G50) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10) Limit theorems in probability theory (60F99)

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Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem

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