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This paper is devoted to the nonparametric estimation of the derivative ofthe regression function in a nonparametric regression model. We implement avery efficient and easy to handle statistical procedure based on the derivativeof the recursive Nadaraya-Watson estimator. We establish the almost sureconvergence as well as the asymptotic normality for our estimates. We alsoillustrate our nonparametric estimation procedure on simulated and real lifedata associated with sea shores water quality and valvometry.

Nonparametric estimation of the derivative of the regression function: application to sea shores water quality