Asymptotic normality of local linear functional regression estimator based upon censored data

Sarra Leulmi

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 10, 2959-2979

Abstract: This article is concerned with the local linear non parametric regression estimator of a right censored scalar response random variable, given a functional random covariate. First, we investigate its asymptotic normality under the concentration properties of small ball probability functions. Then, we apply the results to present the asymptotic (1−α) confidence interval of the regression function for 0

Date: 2025
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DOI: 10.1080/03610926.2024.2378376

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