Optimal distribution-free concentration for the log-likelihood function of Bernoulli variables

DOI10.1186/s13660-023-02995-1MaRDI QIDQ6088846

Zhonggui Ren

Publication date: 14 December 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

Bernoulli distributionBernstein's inequalitylog-likelihood functionBennett's inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Cites Work

• Unnamed Item
• A Mathematical Theory of Communication
• Consistent community detection in multi-relational data through restricted multi-layer stochastic blockmodel
• A note on new Bernstein-type inequalities for the log-likelihood function of Bernoulli variables
• An optimal uniform concentration inequality for discrete entropies on finite alphabets in the high-dimensional setting
• Concentration of Measure Inequalities in Information Theory, Communications, and Coding
• Stochastic blockmodels with a growing number of classes
• Concentration Inequalities for Statistical Inference
• A Refinement of the Arithmetic Mean-Geometric Mean Inequality
• Network Inference From Grouped Observations Using Hub Models
• An improved Bennett's inequality
• Probability Inequalities for Sums of Bounded Random Variables

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