Orthogonal series and limit theorems for canonical U-and V-statistics of stationary connected observations

DOI10.3103/S1055134408040020zbMath1249.60027arXiv0906.5465MaRDI QIDQ3115371

I. S. Borisov, N. V. Volodko

Publication date: 20 February 2012

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.5465

zbMATH Keywords

mixingstationary sequence of random variablesmultiple orthogonal seriescanonical U-statisticscanonical V-statistics

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (5)

Dependent wild bootstrap for degenerate \(U\)- and \(V\)-statistics ⋮ The functional limit theorem for the canonical \(U\)-processes defined on dependent trials ⋮ Small deviations of the determinants of random matrices with Gaussian entries ⋮ \(U\)-statistics of Ornstein-Uhlenbeck branching particle system ⋮ Exponential Inequalities for the Distributions of Canonical Multiple Partial Sum Processes

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