%0 Unpublished work
%T KERNEL REGRESSION ESTIMATION FOR SPATIAL FUNCTIONAL RANDOM VARIABLES
%+ Groupe de Recherches Modélisation Appliquée à la Recherche en Sciences Sociales (GREMARS)
%+ AGeing and IMagery (AGIM)
%+ Laboratoire de MicrobiologiE de Géochimie et d'Ecologie Marines (LMGEM)
%A Dabo-Niang, Sophie
%A Rachdi, Mustapha
%A Yao, Anne-Françoise
%8 2010-10-01
%D 2010
%K Random fields
%K Functional variables
%K Infinite dimensional space
%K Small balls probabilities
%K Regression estimation
%K Small balls probabilities.
%Z Mathematics [math]/Statistics [math.ST]
%Z Statistics [stat]/Statistics Theory [stat.TH]Preprints, Working Papers, ...
%X 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.
%G English
%Z SOPHIE DABO-NIANG
%Z MUSTAPHA RACHDI
%Z ANNE-FRANÇOISE YAO
%2 https://hal.science/hal-00605923/document
%2 https://hal.science/hal-00605923/file/DABO_YAO_RACHDI_Sep103.pdf
%L hal-00605923
%U https://hal.science/hal-00605923
%~ EPHE
%~ UNIV-LILLE3
%~ UGA
%~ CNRS
%~ UNIV-GRENOBLE1
%~ UNIV-AMU
%~ UNIV-PMF_GRENOBLE
%~ LMGEM
%~ AGIM
%~ PSL
%~ TEST-DEV
%~ EPHE-PSL