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1. Estimation locale linéaire de la fonction de régression pour des variables hilbertiennes.

Author

Demongeot, Jacques, Laksaci, Ali, Naceri, Amina, and Rachdi, Mustapha

Subjects
*REGRESSION analysis, *MATHEMATICAL variables, *HILBERT'S problems, *NONPARAMETRIC estimation, *PROBABILITY theory, *ENTROPY
Abstract

In this paper, we introduce a new nonparametric estimation of the regression function when both the response and the explanatory variables are of the functional kind. First, we construct a local linear estimator of this regression operator, then we state its rate for the uniform almost complete convergence. This latter is expressed as a function of the small ball probability of the predictor and as a function of the entropy of the set on which the uniformity is obtained. [ABSTRACT FROM AUTHOR]

Published
2016
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