Geodesic
A class of local linear estimators with functional data
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 3, pp. 379-391

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We introduce a local linear nonparametric estimation for the generalized regression function of a scalar response variable given a random variable taking values in a semi metric space. We establish a rate of uniform consistency for the proposed estimators. Then, based on a real data set we illustrate the performance of a particular studied estimator with respect to other known estimators.
Keywords: locally modelled regression, nonparametric estimation, rate of convergence, uniform almost complete convergence. 
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     author = {Sara Leulmi and Fatiha Messaci},
     title = {A class of local linear estimators with functional data},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {379--391},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2019_12_3_a12/}
}
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Sara Leulmi; Fatiha Messaci. A class of local linear estimators with functional data. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 3, pp. 379-391. http://geodesic.mathdoc.fr/item/JSFU_2019_12_3_a12/