@Article{Bouhadjera2022,
author = "Bouhadjera, Feriel and Saïd, Elias Ould",
title = "Strong consistency of the local linear relative regression estimator for censored data",
journal = "Opuscula Math.",
year = "2022",
volume = "42",
number = "6",
pages = "805--832",
doi = "https://doi.org/10.7494/OpMath.2022.42.6.805",
url = "https://doi.org/10.7494/OpMath.2022.42.6.805",
abstract = "In this paper, we combine the local linear approach to the relative error regression estimation method to build a new estimator of the regression operator when the response variable is subject to random right censoring. We establish the uniform almost sure consistency with rate over a compact set of the proposed estimator. Numerical studies, firstly on simulated data, then on a real data set concerning the death times of kidney transplant patients, were conducted. These practical studies clearly show the superiority of the new estimator compared to competitive estimators.",
keywords = "censored data, local linear approach, relative error, regression function, uniform almost sure convergence",
issn = "1232-9274"
}