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Article Dans Une Revue Journal of Applied Statistics Année : 2019

A nonparametric statistical procedure for the detection of marine pollution

Résumé

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.
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Dates et versions

hal-02470337 , version 1 (07-02-2020)

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  • HAL Id : hal-02470337 , version 1

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Bernard Bercu, Sami Capderou, Gilles Durrieu. A nonparametric statistical procedure for the detection of marine pollution. Journal of Applied Statistics, 2019, 46 (1), pp.119-140. ⟨hal-02470337⟩
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