A note about the critical bandwidth for a kernel density estimator with the uniform kernel
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Quality control and dynamic reliability [CQFD] | |
| hal.structure.identifier | Environnements et Paléoenvironnements OCéaniques [EPOC] | |
| dc.contributor.author | COUDRET, Raphaël | |
| hal.structure.identifier | Laboratoire de Mathématiques de Bretagne Atlantique [LMBA] | |
| dc.contributor.author | DURRIEU, Gilles | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Quality control and dynamic reliability [CQFD] | |
| dc.contributor.author | SARACCO, Jerome | |
| dc.date.accessioned | 2024-04-04T02:23:32Z | |
| dc.date.available | 2024-04-04T02:23:32Z | |
| dc.date.created | 2012-12-17 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189746 | |
| dc.description.abstractEn | Among 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.iso | en | |
| dc.title.en | A note about the critical bandwidth for a kernel density estimator with the uniform kernel | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Statistiques [math.ST] | |
| dc.subject.hal | Statistiques [stat]/Théorie [stat.TH] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00765843 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00765843v1 | |
| bordeaux.COinS | ctx_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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