Properties of Shannon and Rényi entropies of the Poisson distribution as the functions of intensity parameter

DOI10.15388/NAMC.2024.29.35560zbMATH Open1547.94195MaRDI QIDQ6599961

Volodymyr Braiman, Yevheniia Anastasiia Rudyk, Yuliya S. Mishura, Anatoliy Malyarenko

Publication date: 6 September 2024

Published in: Nonlinear Analysis. Modelling and Control (Search for Journal in Brave)

zbMATH Keywords

Poisson distributionShannon entropyRényi entropyKaramata's inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Nonparametric estimation (62G05) Probability distributions: general theory (60E05) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

Cites Work

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• Estimating Renyi Entropy of Discrete Distributions
• Estimation of Entropy and Mutual Information
• Expressions for the Entropy of Basic Discrete Distributions
• Inequalities: theory of majorization and its applications

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