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A note about the critical bandwidth for a kernel density estimator with the uniform kernel

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierQuality control and dynamic reliability [CQFD]
hal.structure.identifierEnvironnements et Paléoenvironnements OCéaniques [EPOC]
dc.contributor.authorCOUDRET, Raphaël
hal.structure.identifierLaboratoire de Mathématiques de Bretagne Atlantique [LMBA]
dc.contributor.authorDURRIEU, Gilles
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierQuality control and dynamic reliability [CQFD]
dc.contributor.authorSARACCO, Jerome
dc.date.accessioned2024-04-04T02:23:32Z
dc.date.available2024-04-04T02:23:32Z
dc.date.created2012-12-17
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189746
dc.description.abstractEnAmong available bandwidths for kernel density estimators, the critical bandwidth is a data-driven one, which satisfies a constraint on the number of modes of the estimated density. When using a random bandwidth, it is of particular interest to show that it goes toward 0 in probability when the sample size goes to infinity. Such a property is important to prove satisfying asymptotic results about the corresponding kernel density estimator. It is shown here that this property is not true for the uniform kernel.
dc.language.isoen
dc.title.enA note about the critical bandwidth for a kernel density estimator with the uniform kernel
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Statistiques [math.ST]
dc.subject.halStatistiques [stat]/Théorie [stat.TH]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00765843
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00765843v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=COUDRET,%20Rapha%C3%ABl&DURRIEU,%20Gilles&SARACCO,%20Jerome&rft.genre=preprint


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