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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 4, Pages 523–536
DOI: https://doi.org/10.17516/1997-1397-2022-15-4-523-536
(Mi jsfu1018)
 

On the nonparametric estimation of the functional regression based on censored data under strong mixing condition

Farid Leulmia, Sara Leulmia, Soumia Kharfouchib

a University Frères Mentouri, Constantine, Algeria
b University Salah Boubnider, Constantine, Algeria
References:
Abstract: In this paper, we are concerned with local linear nonparametric estimation of the regression function in the censorship model when the covariates take values in a semimetric space. Then, we establish the pointwise almost-complete convergence, with rate, of the proposed estimator when the sample is a strong mixing sequence. To lend further support to our theoretical results, a simulation study is carried out to illustrate the good accuracy of the studied method.
Keywords: functional data, censored data, locally modeled regression, almost-complete convergence, strong mixing.
Received: 04.02.2022
Received in revised form: 09.03.2022
Accepted: 10.05.2022
Bibliographic databases:
Document Type: Article
UDC: 519
Language: English
Citation: Farid Leulmi, Sara Leulmi, Soumia Kharfouchi, “On the nonparametric estimation of the functional regression based on censored data under strong mixing condition”, J. Sib. Fed. Univ. Math. Phys., 15:4 (2022), 523–536
Citation in format AMSBIB
\Bibitem{LeuLeuKha22}
\by Farid~Leulmi, Sara~Leulmi, Soumia~Kharfouchi
\paper On the nonparametric estimation of the functional regression based on censored data under strong mixing condition
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 4
\pages 523--536
\mathnet{http://mi.mathnet.ru/jsfu1018}
\crossref{https://doi.org/10.17516/1997-1397-2022-15-4-523-536}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4465863}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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