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

K. Benhenni, S. Hedli-Griche, M. Rachdi and P. Vieu

Statistics & Probability Letters, 2008, vol. 78, issue 8, 1043-1049

Abstract: 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.

Date: 2008
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