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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.
Received: 04.02.2022 Received in revised form: 09.03.2022 Accepted: 10.05.2022
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
Linking options:
https://www.mathnet.ru/eng/jsfu1018 https://www.mathnet.ru/eng/jsfu/v15/i4/p523
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Abstract page: | 66 | Full-text PDF : | 39 | References: | 18 |
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