Weighted uniform consistency of kernel density estimators with general bandwidth sequences

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dc.creatorDony, Julia
dc.creatorEinmahl, Uwe
dc.date2006-07-09
dc.date2006-09-29
dc.date.accessioned2026-07-07T08:08:01Z
dc.date.available2026-07-07T08:08:01Z
dc.descriptionWe are interested in the rate of consistency of kernel density estimators with respect to the weighted sup-norm determined by some unbounded weight function. This problem has been considered by Gine, Koltchinskii and Zinn (2004) for a deterministic bandwidth sequence. We provide "uniform in h" versions of some of their results, allowing us to determine the corresponding rates of consistency for kernel density estimators where the bandwidth sequences may depend on the data and/or the location.
dc.description16 pages. Accepted for publication in Electronic Journal of Probability
dc.identifierhttps://arxiv.org/abs/math/0607232
dc.identifierhttp://arxiv.org/abs/math/0607232
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131123
dc.subjectStatistics Theory
dc.subjectProbability
dc.subject60B12; 60F15; 62G07
dc.titleWeighted uniform consistency of kernel density estimators with general bandwidth sequences
dc.typetext

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