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Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 3, Pages 379–391
DOI: https://doi.org/10.17516/1997-1397-2019-12-3-379-391 (Mi jsfu762) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A class of local linear estimators with functional data

Sara Leulmi, Fatiha Messaci

Department of Mathematics, University brothers Mentouri, Road of Ain El Bey,Constantine, 25017, Algeria
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DOI: https://doi.org/10.17516/1997-1397-2019-12-3-379-391
Abstract: 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.
Received: 04.12.2018
Received in revised form: 28.01.2019
Accepted: 06.03.2019
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: English
Citation: Sara Leulmi, Fatiha Messaci, “A class of local linear estimators with functional data”, J. Sib. Fed. Univ. Math. Phys., 12:3 (2019), 379–391
Citation in format AMSBIB
\Bibitem{LeuMes19}
\by Sara~Leulmi, Fatiha~Messaci
\paper A class of local linear estimators with functional data
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 3
\pages 379--391
\mathnet{http://mi.mathnet.ru/jsfu762}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-3-379-391}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000471028500013}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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