A symmetrization-desymmetrization procedure for uniformly good approximation of expectations involving arbitrary sums of generalized \(U\)-statistics.

DOI10.1214/AOP/1019160512zbMath1110.60300OpenAlexW2080917358MaRDI QIDQ1872173

Krzysztof Nowicki, Michael J. Klass

Publication date: 6 May 2003

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aop/1019160512

zbMATH Keywords

expectations of functions of second-order sums

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50) (L^p)-limit theorems (60F25)

Related Items (2)

Uniformly accurate quantile bounds for sums of arbitrary independent random variables ⋮ New Versions of Some Classical Stochastic Inequalities

Cites Work

• Exponential moments of vector valued random series and triangular arrays
• A method of approximating expectations of functions of sums of independent random variables
• Order of magnitude bounds for expectations of \(\Delta_2\)-functions of generalized random bilinear forms
• Order of magnitude bounds for expectations of \(\Delta_2\)-functions of nonnegative random bilinear forms and generalized \(U\)-statistics
• Unnamed Item

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