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- KERNEL REGRESSION ESTIMATION FOR SPATIAL FUNCTIONAL RANDOM VARIABLES hal link

Auteur(s): Dabo-Niang Sophie, Rachdi Mustapha, Yao A.-F.

(Document sans référence bibliographique) 2010-10-01


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Résumé:

Given a spatial random process (Xi; Yi) 2 E R; i 2 ZN , we investigate a nonparametric estimate of the conditional expectation of the real random variable Yi given the functional random field Xi valued in a semi-metric space E. The weak and strong consistencies of the estimate are shown and almost sure rates of convergence are given. Special attention is paid to apply the regression estimate introduced to spatial prediction problems.