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Asymptotic normality of kernel estimator of $psi$-regression function for functional ergodic data
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 1)Publication Date: 2016-01-01
Authors : Laksaci ALI; Benziadi Fatima; Gheriballak Abdelkader;
Page : 268-282
Keywords : Kernel estimate ergodic data functional data robust regression.;
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Abstract
In this paper we consider the problem of the estimation of the $psi$-regression function when the covariates take values in an infinite dimensional space. Our main aim is to establish, under a stationary ergodic process assumption, the asymptotic normality of this estimate.
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Last modified: 2016-10-30 05:08:39