Sectorial convergence of U-statistics

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dc.creatorGadidov, Anda
dc.date2005-03-29
dc.date.accessioned2026-07-07T05:18:36Z
dc.date.available2026-07-07T05:18:36Z
dc.descriptionIn this note we show that almost sure convergence to zero of symmetrized U-statistics indexed by a linear sector in Z^d_+ is equivalent to convergence along the diagonal of Z^d_+, as it is considered in Lata\la and Zinn [Ann. Probab. 28 (2000) 1908-1924]. Comparisons with similar results for sums of multi-indexed i.i.d. random variables are also made.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117904000001080 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0503660
dc.identifierhttp://arxiv.org/abs/math/0503660
dc.identifierAnnals of Probability 2005, Vol. 33, No. 2, 816-822
dc.identifierdoi:10.1214/009117904000001080
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74715
dc.subjectProbability
dc.subject60F15 (Primary) 60E15. (Secondary)
dc.titleSectorial convergence of U-statistics
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