Large and moderate deviations principles for recursive kernel estimators of a multivariate density and its partial derivatives

dc.creatorMokkadem, Abdelkader
dc.creatorPelletier, Mariane
dc.creatorThiam, Baba
dc.date2006-01-18
dc.date.accessioned2026-07-07T08:07:27Z
dc.date.available2026-07-07T08:07:27Z
dc.descriptionIn this paper we prove large and moderate deviations principles for the recursive kernel estimator of a probability density function and its partial derivatives. Unlike the density estimator, the derivatives estimators exhibit a quadratic behavior not only for the moderate deviations scale but also for the large deviations one. We provide results both for the pointwise and the uniform deviations.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0601429
dc.identifierhttp://arxiv.org/abs/math/0601429
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130947
dc.subjectStatistics Theory
dc.titleLarge and moderate deviations principles for recursive kernel estimators of a multivariate density and its partial derivatives
dc.typetext

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