Local linear regression modelization when all variables are curves

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• 作者：Jacques Demongeot^a ; ^{jacques.demongeot@agim.eu} ; Amina Naceri^b ; Ali Laksaci^b ; ^{alilak@yahoo.fr} ; Mustapha Rachdi^c ; ^{mustapha.rachdi@agim.eu} ; ^{mustapha.rachdi@univ-grenoble-alpes.fr}
• 关键词：primary ; 62G05 ; 62G08 ; 62G20 ; 62G35 ; 62G07 ; 62G32 ; 62G30 ; secondary ; 62H12
• 刊名：Statistics & Probability Letters
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：121
• 期：Complete
• 页码：37-44
• 全文大小：403 K
• 卷排序：121

文摘

A nonparametric local linear estimator of the regression function when both the response and the explanatory variables are of the functional kind is constructed. Then its rate of uniform almost-complete convergence is stated. This theoretical result will be a key tool for many further developments in nonparametric functional data analysis (FDA).