On the asymptotic behavior of weighted \(U\)-statistics

DOI10.1023/A:1007786926882zbMath1425.60026MaRDI QIDQ5919591

Mohamed Rifi, Frederic Utzet

Publication date: 22 August 2019

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

\(U\)-statisticsItô-Wiener integrals

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05)

Related Items (2)

Randomized incomplete \(U\)-statistics in high dimensions ⋮ Stein's method of exchangeable pairs in multivariate functional approximations

Cites Work

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• Asymptotic distributions of weighted \(U\)-statistics of degree 2
• Invariance principle for symmetric statistics
• Symmetric statistics, Poisson point processes, and multiple Wiener integrals
• Symmetric polynomials of random variables attracted to an infinitely divisible law
• Asymptotic distributions for weighted \(U\)-statistics
• Lectures on probability theory and statistics. Ecole d'été de probabilités de Saint-Flour XXVI--1996. Lectures given at the Saint-Flour summer school of probability theory, August 19--September 4, 1996
• On the moments of a multiple wiener-ito integral and the space induced by the polynomials of the integral

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