Uniform in bandwidth consistency of conditional U-statistics

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dc.creatorDony, J.
dc.creatorMason, D. M.
dc.date2007-02-23
dc.date.accessioned2026-07-07T08:08:46Z
dc.date.available2026-07-07T08:08:46Z
dc.descriptionIn 1991 Stute introduced a class of estimators called conditional U-statistics. They can be seen as a generalization of the Nadaraya-Watson estimator, and their strong pointwise consistency to the general regression function has been obtained in the same paper by Stute. Very recently, Gine and Mason introduced the notion of a local U-process, which generalizes that of a local empirical process, and obtained central limit theorems and laws of the iterated logarithm for this class. We apply the methods developed by Einmahl and Mason (2005) and Gine and Mason (2007a,b) to establish uniform in bandwidth consistency to the general regression function of the estimator proposed by Stute.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0702696
dc.identifierhttp://arxiv.org/abs/math/0702696
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131374
dc.subjectStatistics Theory
dc.subjectProbability
dc.subject60F15, 62G08
dc.titleUniform in bandwidth consistency of conditional U-statistics
dc.typetext

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