A nonparametric statistical procedure for the detection of marine pollution
DURRIEU, Gilles
Laboratoire de Mathématiques de Bretagne Atlantique [LMBA]
Université de la Nouvelle-Calédonie [UNC]
Laboratoire de Mathématiques de Bretagne Atlantique [LMBA]
Université de la Nouvelle-Calédonie [UNC]
DURRIEU, Gilles
Laboratoire de Mathématiques de Bretagne Atlantique [LMBA]
Université de la Nouvelle-Calédonie [UNC]
< Reduce
Laboratoire de Mathématiques de Bretagne Atlantique [LMBA]
Université de la Nouvelle-Calédonie [UNC]
Language
en
Article de revue
This item was published in
Journal of Applied Statistics. 2019, vol. 46, n° 1, p. 119-140
Taylor & Francis (Routledge)
English Abstract
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. ...Read more >
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.Read less <
ANR Project
Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
Origin
Hal imported