On the Asymptotic Behavior of Weighted U-Statistics

Mohamed Rifi and Frederic Utzet ()

Journal of Theoretical Probability, 2000, vol. 13, issue 1, 141-167

Abstract: 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 (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1007786926882

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