Hoeffding and Bernstein inequalities for U-statistics without replacement

DOI10.1016/j.spl.2022.109528zbMath1487.62014OpenAlexW4229035441MaRDI QIDQ2670802

Jianhang Ai, Yuyi Wang, Ondřej Kuželka

Publication date: 1 June 2022

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

Full work available at URL: https://doi.org/10.1016/j.spl.2022.109528

zbMATH Keywords

Bernstein inequalityU-statisticsconcentration inequalitiesHoeffding inequalitysample without replacement

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Inequalities; stochastic orderings (60E15) Sampling theory, sample surveys (62D05)

Cites Work

• An Edgeworth expansion for finite-population \(U\)-statistics
• Probability inequalities for the sum in sampling without replacement
• Concentration inequalities for sampling without replacement
• Probability Inequalities for the Sum of Independent Random Variables
• Networks
• Probability Inequalities for Sums of Bounded Random Variables
• On the Properties of U-Statistics When the Observations are not Independent
• A Class of Statistics with Asymptotically Normal Distribution
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