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A nonparametric statistical procedure for the detection of marine pollution

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBERCU, Bernard
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCAPDEROU, Sami
hal.structure.identifierLaboratoire de Mathématiques de Bretagne Atlantique [LMBA]
hal.structure.identifierUniversité de la Nouvelle-Calédonie [UNC]
dc.contributor.authorDURRIEU, Gilles
dc.date.accessioned2024-04-04T02:57:28Z
dc.date.available2024-04-04T02:57:28Z
dc.date.issued2019
dc.identifier.issn0266-4763
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192566
dc.description.abstractEnThis paper is devoted to the estimation of the derivative of the regres- sion function in fixed-design nonparametric regression. We establish the almost sure convergence as well as the asymptotic normality of our estimate. We also provide concentration inequalities which are useful for small sample sizes. Numerical experiments on simu- lated data show that our nonparametric statistical procedure per- forms very well. We also illustrate our approach on high-frequency environmental data for the study of marine pollution.
dc.description.sponsorshipCentre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
dc.language.isoen
dc.publisherTaylor & Francis (Routledge)
dc.title.enA nonparametric statistical procedure for the detection of marine pollution
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Statistiques [math.ST]
bordeaux.journalJournal of Applied Statistics
bordeaux.page119-140
bordeaux.volume46
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02470337
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02470337v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Applied%20Statistics&rft.date=2019&rft.volume=46&rft.issue=1&rft.spage=119-140&rft.epage=119-140&rft.eissn=0266-4763&rft.issn=0266-4763&rft.au=BERCU,%20Bernard&CAPDEROU,%20Sami&DURRIEU,%20Gilles&rft.genre=article


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