Entropy and Concentration

DOI10.1007/978-3-030-86664-8_2zbMath1484.60021OpenAlexW4205794131MaRDI QIDQ5028163

Andreas Maurer

Publication date: 8 February 2022

Published in: Harmonic and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-86664-8_2

zbMATH Keywords

random matrixentropy methodempirical processconcentration inequalityEfron-Stein inequalityBernstein's inequalityHanson-Wright inequalitytail boundBennett's inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Combinatorial probability (60C05)

Cites Work

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• Moment inequalities for U-statistics
• On concentration of self-bounding functions
• An Efron-Stein inequality for nonsymmetric statistics
• Decoupling and Khintchine's inequalities for \(U\)-statistics
• A Bernstein-type inequality for \(U\)-statistics and \(U\)-processes
• The iterated jackknife estimate of variance
• Concentration inequalities using the entropy method
• A Bennett concentration inequality and its application to suprema of empirical processes
• A Bernstein-type inequality for functions of bounded interaction
• About the constants in Talagrand's concentration inequalities for empirical processes.
• Concentration of measure and isoperimetric inequalities in product spaces
• A new look at independence
• Logarithmic Sobolev Inequalities
• High-Dimensional Probability
• 10.1162/1532443041424292
• 10.1162/153244303321897690
• Probability Inequalities for Sums of Bounded Random Variables
• A Class of Statistics with Asymptotically Normal Distribution

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