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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2022 Volume 15, Issue 4, Pages 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

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.

UDC: 519

Received: 04.02.2022
Received in revised form: 09.03.2022
Accepted: 10.05.2022

Language: English

DOI: 10.17516/1997-1397-2022-15-4-523-536



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