Asymptotic distributions for weighted \(U\)-statistics

DOI10.1214/aop/1176988610zbMath0813.62014OpenAlexW1992676136MaRDI QIDQ1345607

Péter Major

Publication date: 6 June 1995

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

Full work available at URL: https://doi.org/10.1214/aop/1176988610

zbMATH Keywords

uniform distributionPoisson approximationslimit distributionsweighted U-statisticsmultiple Wiener stochastic integrals

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Stochastic integrals (60H05)

Related Items

On weighted \(U\)-statistics for stationary processes., On weak approximations of \(U\)-statistics, Asymptotic normality for -dependent and constrained -statistics, with applications to pattern matching in random strings and permutations, Almost sure representations of weightedU-statistics with applications, Strong law of large numbers for weighted \(U\)-statistics: Application to incomplete \(U\)-statistics, A class of asymptotically normal degenerate quasi \(U\)-statistics, Inference of weighted \(V\)-statistics for nonstationary time series and its applications, Non-uniform Berry-Esseen bounds for weighted \(U\)-statistics and generalized \(L\)-statistics, Minimum distance lack-of-fit tests for fixed design, On inference validity of weighted U-statistics under data heterogeneity, Approximating high-dimensional infinite-order \(U\)-statistics: statistical and computational guarantees, Randomized incomplete \(U\)-statistics in high dimensions, On the asymptotic behavior of weighted \(U\)-statistics, Stein's method of exchangeable pairs in multivariate functional approximations, A remark on strong law of large numbers for weighted \(U\)-statistics