Title: A non-parametric estimation of the conditional quantile for truncated and functional data

Authors: Halima Boudada

Addresses: Département de Mathématiques, Université Frères Mentouri, Constantine 1, Algeria

Abstract: In this paper, we propose a local linear estimator for the conditional distribution function in the case where the real response variable is subject to left-truncation by another random variable (r.v.) and the covariate is of functional type. Under regular assumptions, both of the pointwise and the uniform almost sure convergences, of the proposed estimator, are established. Then, we deduce the uniform almost sure convergence of the obtained conditional quantile estimator. A simulation study is used to illustrate the performance of our estimator with respect to the kernel method.

Keywords: truncation; functional type covariate; local linear method; conditional quantile function; rate of almost-sure convergence; simulation.

DOI: 10.1504/IJMOR.2022.120318

International Journal of Mathematics in Operational Research, 2022 Vol.21 No.1, pp.127 - 140

Received: 02 Feb 2020
Accepted: 16 Sep 2020
Published online: 14 Jan 2022 *

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