Nonuniform bounds in the Poisson approximation with applications to informational distances. II

DOI10.1007/s10986-019-09468-3zbMath1456.62025arXiv1906.09156OpenAlexW2989976839WikidataQ126662893 ScholiaQ126662893MaRDI QIDQ2304426

Sergey G. Bobkov, Gennadiy P. Chistyakov, Friedrich Götze

Publication date: 11 March 2020

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.09156

zbMATH Keywords

relative entropyPoisson approximation\( \chi^2\)-divergence

Mathematics Subject Classification ID

Approximations to statistical distributions (nonasymptotic) (62E17) Statistical aspects of information-theoretic topics (62B10)

Related Items (1)

Poisson approximation in \(\chi^2\) distance by the Stein-Chen approach

Cites Work

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• A Charlier-Parseval approach to Poisson approximation and its applications
• Rényi divergence and the central limit theorem
• A proof of the Shepp-Olkin entropy concavity conjecture
• Rényi Divergence and Kullback-Leibler Divergence
• On the rate of Poisson convergence
• Rate of Convergence to Poisson Law in Terms of Information Divergence
• Weighted inequalities for iterated convolutions
• Binomial and Poisson distributions as maximum entropy distributions
• Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I
• Thinning, Entropy, and the Law of Thin Numbers
• Entropy Bounds for Discrete Random Variables via Maximal Coupling

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