Local linear regression modelization when all variables are curves

Jacques Demongeot, Amina Naceri, Ali Laksaci and Mustapha Rachdi

Statistics & Probability Letters, 2017, vol. 121, issue C, 37-44

Abstract: 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).

Keywords: Functional data analysis; Regression operator; Local linear estimation; Strong consistency; Functional nonparametric statistics; Functional response (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2016.09.021

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