A symmetrization-desymmetrization procedure for uniformly good approximation of expectations involving arbitrary sums of generalized \(U\)-statistics.
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Publication:1872173
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
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
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