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On the Asymptotic Behavior of Weighted U-Statistics
Authors:Mohamed Rifi  Frederic Utzet
Affiliation:(1) University of Campinas, Campinas, Brazil;
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.
Keywords:U-statistics  Ito–  Wiener integrals
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