Weak convergence of infinite order U-processes

DOI10.1016/0167-7152(91)90059-ZzbMath0743.60026OpenAlexW2039786464MaRDI QIDQ1181095

Arturo Kohatsu-Higa

Publication date: 27 June 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(91)90059-z

zbMATH Keywords

limit distributionsmultiple Wiener integralsinfinite order \(U\)-processes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (2)

Renewal type bootstrap for increasing degree \(U\)-process of a Markov chain ⋮ Limit theorems for symmetric statistics of exchangeable random variables

Cites Work

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• Weak convergence of a sequence of stochastic processes related with U- statistics
• Symmetric statistics, Poisson point processes, and multiple Wiener integrals
• Large sample theory for U-statistics and tests of fit
• Some applications of the theory of martingales to statistics

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