Nonparametric recursive estimation of the derivative of the regression function with application to sea shores water quality
| hal.structure.identifier | Université de la Nouvelle-Calédonie [UNC] | |
| hal.structure.identifier | Laboratoire de Mathématiques de Bretagne Atlantique [LMBA] | |
| dc.contributor.author | DURRIEU, Gilles | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CAPDEROU, Sami | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BERCU, Bernard | |
| dc.date.accessioned | 2024-04-04T02:57:27Z | |
| dc.date.available | 2024-04-04T02:57:27Z | |
| dc.date.created | 2019 | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 1387-0874 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192565 | |
| dc.description.abstractEn | This paper is devoted to the nonparametric estimation of the derivative of the regression function in a nonparametric regression model. We implement a very efficient and easy to handle statistical procedure based on the derivative of the recursive Nadaraya–Watson estimator. We establish the almost sure convergence as well as the asymptotic normality for our estimates. We also illustrate our nonparametric estimation procedure on simulated data and real life data associated with sea shores water quality and valvometry. | |
| dc.description.sponsorship | Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Nonparametric recursive estimation of the derivative of the regression function with application to sea shores water quality | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Statistiques [math.ST] | |
| bordeaux.journal | Statistical Inference for Stochastic Processes | |
| bordeaux.page | 17-40 | |
| bordeaux.volume | 22 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02470351 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02470351v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Statistical%20Inference%20for%20Stochastic%20Processes&rft.date=2019&rft.volume=22&rft.issue=1&rft.spage=17-40&rft.epage=17-40&rft.eissn=1387-0874&rft.issn=1387-0874&rft.au=DURRIEU,%20Gilles&CAPDEROU,%20Sami&BERCU,%20Bernard&rft.genre=article |
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