On the Asymptotic Behavior of Weighted U-Statistics

Mohamed Rifi, Frederic Utzet

Research output: Contribution to journalArticleResearchpeer-review

13 Citations (Scopus)


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 languageEnglish
Pages (from-to)141-167
JournalJournal of Theoretical Probability
Publication statusPublished - 1 Jan 2000


  • Ito-Wiener integrals
  • U-statistics

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