Convexity and robustness of the Rényi entropy

DOI10.15559/21-VMSTA185zbMath1479.60025arXiv2103.04355OpenAlexW3186860220MaRDI QIDQ2062461

Filipp Buryak, Yuliya S. Mishura

Publication date: 27 December 2021

Published in: Modern Stochastics. Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.04355

zbMATH Keywords

robustnessconvexityRényi entropydiscrete distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Measures of information, entropy (94A17)

Related Items (1)

A comment on rates of convergence for density function in extreme value theory and Rényi entropy

Cites Work

• Rényi divergence measures for commonly used univariate continuous distributions
• Distance from fractional Brownian motion with associated Hurst index \(0<H<1/2\) to the subspaces of Gaussian martingales involving power integrands with an arbitrary positive exponent
• Rényi Divergence and Kullback-Leibler Divergence
• Binomial and Poisson distributions as maximum entropy distributions
• The Complexity of Estimating Rényi Entropy
• Concentration functions and entropy bounds for discrete log-concave distributions
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