A Kolmogorov inequality for \(U\)-statistics based on Bernoulli kernels

DOI10.1016/0167-7152(94)00031-XzbMath0810.60013MaRDI QIDQ1341367

Tasos C. Christofides

Publication date: 9 January 1995

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

zbMATH Keywords

inequality\(U\)-statisticBernoulli kernel

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (3)

Kolmogorov inequalities for the partial sum of independent Bernoulli random variables ⋮ A Kolmogorov inequality for weighted U-statistics ⋮ On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables

Cites Work

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• Probability inequalities with exponential bounds for \(U\)-statistics
• Improved Kolmogorov inequalities for the binomial distribution
• A note on a Kolmogorov inequality
• 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

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