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Demongeot, Jacques; Naceri, Amina; Laksaci, Ali; Rachdi, Mustapha

Local linear regression modelization when all variables are curves. (English) Zbl 1351.62083

Stat. Probab. Lett. 121, 37-44 (2017).
Summary: 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).

Cited in 11 Documents

MSC:

62G05 Nonparametric estimation
62G08 Nonparametric regression and quantile regression
62G20 Asymptotic properties of nonparametric inference
62G35 Nonparametric robustness
62G07 Density estimation
62G32 Statistics of extreme values; tail inference
62G30 Order statistics; empirical distribution functions
62H12 Estimation in multivariate analysis

Keywords:

functional data analysis; regression operator; local linear estimation; strong consistency; functional nonparametric statistics; functional response

Software:

fda (R)
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Full Text: DOI

References:

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