Uniform concentration bounds for frequencies of rare events

DOI10.1016/j.spl.2022.109610zbMath1498.60077arXiv2110.05826OpenAlexW3206408858MaRDI QIDQ2170254

Anne Sabourin, Johan Segers, Stéphane Lhaut

Publication date: 30 August 2022

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.05826

zbMATH Keywords

rare eventsempirical processconcentration inequalitiesnon-parametricVapnik-Chervonenkis (VC) theory

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

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Uniform concentration bounds for frequencies of rare events

Cites Work

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• A result of Vapnik with applications
• Weak convergence and empirical processes. With applications to statistics
• Uniform concentration bounds for frequencies of rare events
• Advanced lectures on machine learning. ML summer schools 2003, Canberra, Australia, February 2--14, 2003, Tübingen, Germany, August 4--16, 2003. Revised lectures
• Concentration inequalities and asymptotic results for ratio type empirical processes
• On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities