caa a22 4500 606196544 CHVBK 20210128100924.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10260-015-0296-9 doi (NATIONALLICENCE)springer-10.1007/s10260-015-0296-9 Local polynomial modelling of the conditional quantile for functional data [Elektronische Daten] [Fatiha Messaci, Nahima Nemouchi, Idir Ouassou, Mustapha Rachdi] As the problem of prediction is of great interest, several tools based on different methods and devoted to various contexts, have been developed in the statistical literature. The contribution of this paper is to focus on the study of the local linear nonparametric estimation of the quantile of a scalar response variable given a functional covariate. In fact, the covariate is a random variable taking values in a semi-metric space which can have an infinite dimension in order to permit to deal with curves. We first establish pointwise and uniform almost-complete convergences, with rates, of the conditional distribution function estimator. Then, we deduce the uniform almost-complete convergence of the obtained local linear conditional quantile estimator. We also bring out the application of our results to the multivariate case as well as to the particular case of the kernel method. Moreover, a real data study allows to place our conditional median estimator in relation to several other predictive tools. Springer-Verlag Berlin Heidelberg, 2015 Conditional quantile nationallicence Conditional distribution nationallicence Local linear estimation nationallicence Functional data nationallicence simulation nationallicence Messaci Fatiha Université Constantine 1, Route d'Ain El Bey, 25017, Constantine, Algeria aut Nemouchi Nahima Université Constantine 1, Route d'Ain El Bey, 25017, Constantine, Algeria aut Ouassou Idir Université Cadi Ayyad, Ecole Nationale des Sciences Appliquées, Av. Abdelkrim Khattabi, BP. 575, Marrakech, Morocco aut Rachdi Mustapha Laboratoire AGIM, FRE 3405 CNRS UJF-UPMF-EPHE, Université Pierre Mendès-France (Grenoble II), UFR SHS, BP. 47, 38040, Grenoble Cedex 09, France aut Statistical Methods & Applications Springer Berlin Heidelberg 24/4(2015-11-01), 597-622 1618-2510 24:4<597 2015 24 10260 https://doi.org/10.1007/s10260-015-0296-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10260-015-0296-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Messaci Fatiha Université Constantine 1, Route d'Ain El Bey, 25017, Constantine, Algeria aut NATIONALLICENCE 700 1- Nemouchi Nahima Université Constantine 1, Route d'Ain El Bey, 25017, Constantine, Algeria aut NATIONALLICENCE 700 1- Ouassou Idir Université Cadi Ayyad, Ecole Nationale des Sciences Appliquées, Av. Abdelkrim Khattabi, BP. 575, Marrakech, Morocco aut NATIONALLICENCE 700 1- Rachdi Mustapha Laboratoire AGIM, FRE 3405 CNRS UJF-UPMF-EPHE, Université Pierre Mendès-France (Grenoble II), UFR SHS, BP. 47, 38040, Grenoble Cedex 09, France aut NATIONALLICENCE 773 0- Statistical Methods & Applications Springer Berlin Heidelberg 24/4(2015-11-01), 597-622 1618-2510 24:4<597 2015 24 10260