On the Asymptotic Behavior of Weighted U-Statistics

Mohamed Rifi; Frederic Utzet

doi:https://doi.org/10.1023/A:1007786926882

On the Asymptotic Behavior of Weighted U-Statistics

Mohamed Rifi, Frederic Utzet

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

13 Citations (Scopus)

Abstract

A sufficient condition for the convergence of degenerated weighted U-statistics of order k is proved. From this, the previous results by O'Neil and Redner(10) for k = 2 and Major,(7) which appeared to be very different, are related.

Original language	English
Pages (from-to)	141-167
Journal	Journal of Theoretical Probability
Volume	13
DOIs	https://doi.org/10.1023/A:1007786926882
Publication status	Published - 1 Jan 2000

Keywords

Ito-Wiener integrals
U-statistics

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title = "On the Asymptotic Behavior of Weighted U-Statistics",

abstract = "A sufficient condition for the convergence of degenerated weighted U-statistics of order k is proved. From this, the previous results by O'Neil and Redner(10) for k = 2 and Major,(7) which appeared to be very different, are related.",

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author = "Mohamed Rifi and Frederic Utzet",

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AU - Utzet, Frederic

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Y1 - 2000/1/1

N2 - A sufficient condition for the convergence of degenerated weighted U-statistics of order k is proved. From this, the previous results by O'Neil and Redner(10) for k = 2 and Major,(7) which appeared to be very different, are related.

AB - A sufficient condition for the convergence of degenerated weighted U-statistics of order k is proved. From this, the previous results by O'Neil and Redner(10) for k = 2 and Major,(7) which appeared to be very different, are related.

KW - Ito-Wiener integrals

KW - U-statistics

U2 - https://doi.org/10.1023/A:1007786926882

DO - https://doi.org/10.1023/A:1007786926882

M3 - Article

SN - 0894-9840

VL - 13

SP - 141

EP - 167

JO - Journal of Theoretical Probability

JF - Journal of Theoretical Probability

ER -

On the Asymptotic Behavior of Weighted U-Statistics

Abstract

Keywords

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