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Asymptotic normality of robust nonparametric estimator for functional dependent data
Conference proceeding

Asymptotic normality of robust nonparametric estimator for functional dependent data

Mohammed Attouch, Ali Laksaci and Elias Ould-Said
FUNCTIONAL AND OPERATORIAL STATISTICS, pp.31-34
Contributions to Statistics
01/01/2008
DOI: https://doi.org/10.1007/978-3-7908-2062-1_5

Abstract

Mathematics Physical Sciences Science & Technology Statistics & Probability
We propose a family of robust nonparametric estimators for regression function based on kernel method. We establish the asymptotic normality of the estimator under the concentration properties on small balls of the probability measure of the functional explanatory dependent variables.

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