Probability inequalities with exponential bounds for \(U\)-statistics

DOI10.1016/0167-7152(91)90087-8zbMath0742.60018OpenAlexW2029174648MaRDI QIDQ1181114

Tasos C. Christofides

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-7152(91)90087-8

zbMATH Keywords

exponential inequalitiesbinomial random variableBernoulli kernelstail probabilities of \(U\)- statistics

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05)

Related Items (4)

A Kolmogorov inequality for \(U\)-statistics based on Bernoulli kernels ⋮ Kolmogorov inequalities for the partial sum of independent Bernoulli random variables ⋮ An Exponential Inequality for $U$-Statistics of I.I.D. Data ⋮ A Kolmogorov inequality for weighted U-statistics

Cites Work

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• On exponential bounds for binomial probabilities
• On a Kolmogorov Inequality
• A Note on a Kolmogorov Inequality for the Binomial Distribution
• Probability Inequalities for Sums of Bounded Random Variables
• A Class of Statistics with Asymptotically Normal Distribution
• Large deviations of sums of independent random variables

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