Integral representations and asymptotic expansions for Shannon and Renyi entropies

DOI10.1016/S0893-9659(98)00013-5zbMath1337.94007MaRDI QIDQ289345

Charles Knessl

Publication date: 30 May 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

entropyasymptotic expansionsinformation theory

Mathematics Subject Classification ID

Measures of information, entropy (94A17)

Related Items (12)

Relative Fisher information of discrete classical orthogonal polynomials ⋮ Discrete entropies of orthogonal polynomials ⋮ Entropy-based estimation of the birth-death ratio ⋮ Log-concavity, ultra-log-concavity, and a maximum entropy property of discrete compound Poisson measures ⋮ Entropy of some discrete distributions ⋮ Complete monotonicity of some entropies ⋮ The Le Cam distance between density estimation, Poisson processes and Gaussian white noise ⋮ Structure of quantum correlations in momentum space and off-diagonal long-range order in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">η</mml:mi></mml:math>pairing and BCS states ⋮ Singularity analysis and asymptotics of Bernoulli sums ⋮ Voronovskaya theorem for a sequence of positive linear operators related to squared Bernstein polynomials ⋮ Bounds for indices of coincidence and entropies ⋮ Calibration tests for count data

Cites Work

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• Saddlepoint expansions for sums of Markov dependent variables on a continuous state space
• A Convexity Property in the Theory of Random Variables Defined on a Finite Markov Chain
• Coding for T-user multiple-access channels
• Entropy computations via analytic depoissonization
• Generalized cutoff rates and Renyi's information measures
• On the Foundations of Information Theory

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