BERCU, Bernard; CAPDEROU, Sami; DURRIEU, Gilles

Metadatos

Mostrar el registro completo del ítem

Licencia de uso del documento

BERCU, Bernard
Institut de Mathématiques de Bordeaux [IMB]

CAPDEROU, Sami
Institut de Mathématiques de Bordeaux [IMB]

DURRIEU, Gilles
Laboratoire de Mathématiques de Bretagne Atlantique [LMBA]
Université de la Nouvelle-Calédonie [UNC]

Idioma

Article de revue

Este ítem está publicado en

Journal of Applied Statistics. 2019, vol. 46, n° 1, p. 119-140

Taylor & Francis (Routledge)

Resumen en inglés

This 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.< Leer menos

URI

https://oskar-bordeaux.fr/handle/20.500.12278/192566

Proyecto ANR

Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251