Almost sure limit theorems for U-statistics

Hajo Holzmann, Susanne Koch and Aleksey Min

Statistics & Probability Letters, 2004, vol. 69, issue 3, 261-269

Abstract: We relax the moment conditions from a result in almost sure limit theory for U-statistics due to Berkes and Csaki [(Stochastic Process. Appl. 94 (2001) 105)]. We extend this result to the case of convergence to stable laws and also prove a functional version.

Keywords: Almost; sure; limit; theorem; Functional; limit; theorem; Stable; distributions; U-statistics (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (4)

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