Exponential Inequalities for the Distributions of Canonical Multiple Partial Sum Processes

DOI10.1137/S0040585X97T98943XzbMath1426.60023OpenAlexW2965926368WikidataQ115525473 ScholiaQ115525473MaRDI QIDQ5232085

I. S. Borisov, Unnamed Author

Publication date: 29 August 2019

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t98943x

zbMATH Keywords

exponential inequalitiesmultiple orthogonal seriescanonical \(U\)- and \(V\)-statistics

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50)

Related Items (2)

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Cites Work

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• Approximation of distributions of von Mises statistics with multidimensional kernels
• Limit theorems for \(U\)-processes
• On exponential inequalities for canonical \(V\)-statistics
• New dependence coefficients. Examples and applications to statistics
• A note on exponential inequalities for the distribution tails of canonical von Mises' statistics of dependent observations
• On a multivariate version of Bernstein's inequality
• Orthogonal series and limit theorems for canonical U-and V-statistics of stationary connected observations
• Exponential inequalities for the distributions of canonical U- and V-statistics of dependent observations
• Notes on Inequalities for Sums of Independent Variables
• Probability Inequalities for Sums of Bounded Random Variables

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