Kernel conditional quantile estimator for functional regressors under a twice censorship model

Ranya Boustila, Sarra Leulmi and Farid Leulmi

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 21, 6997-7010

Abstract: This article is concerned with the kernel non parametric conditional quantile estimator of a twice censored scalar response random variable, given a functional random covariate. First, we investigate the almost complete convergence of the kernel conditional distribution estimator under the concentration properties of small ball probability functions. Then, we apply this result to establish the almost complete convergence of conditional quantile estimator. To lend supplementary support to our theoretical results, we conduct a simulation study to illustrate the performance and the accuracy of our proposed estimator.

Date: 2025
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DOI: 10.1080/03610926.2025.2472787

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