Consistency of the regression estimator with functional data under long memory conditions - Archive ouverte HAL
Article Dans Une Revue Statistics and Probability Letters Année : 2008

Consistency of the regression estimator with functional data under long memory conditions

Résumé

We study the nonparametric regression estimation when the explanatory variable takes values in some abstract functional space. We establish some asymptotic results and we give the (pointwise and uniform) convergence of the kernel type estimator constructed from functional data under long memory conditions.
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Dates et versions

hal-00622143 , version 1 (12-09-2011)

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Karim Benhenni, Sonia Hedli-Griche, Mustapha Rachdi, Philippe Vieu. Consistency of the regression estimator with functional data under long memory conditions. Statistics and Probability Letters, 2008, 78 (8), pp.1043-1049. ⟨10.1016/j.spl.2007.11.011⟩. ⟨hal-00622143⟩
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