Sharp Bounds on the Entropy of the Poisson Law and Related Quantities

DOI10.1109/TIT.2010.2044057zbMath1366.94178arXiv1001.2897MaRDI QIDQ5281495

Alberto Lekuona, Yaming Yu, José A. Adell

Publication date: 27 July 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2897

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Measures of information, entropy (94A17)

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Estimates of generalized Stieltjes constants with a quasi-geometric rate of decay ⋮ Differential calculus for linear operators represented by finite signed measures and applications ⋮ Complete monotonicity of some entropies ⋮ A bound on expectation values and variances of quantum observables via Rényi entropy and Tsallis entropy ⋮ Asymptotic estimates for Stieltjes constants: a probabilistic approach ⋮ Bounds for indices of coincidence and entropies ⋮ On the Shannon entropy of the number of vertices with zero in-degree in randomly oriented hypergraphs

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