Journal of Siberian Federal University. Mathematics & Physics / Rate of the Almost Sure Convergence of a Generalized Regression Estimate Based on Truncated and Functional Data

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (4)
Authors
Boudada, Halima; Leulmi, Sara; Kharfouch, Soumia
Contact information
Boudada, Halima: University Freres Mentouri Constantine 1, Algeria; ; Leulmi, Sara: LAMASD Laboratory University Freres Mentouri Constantine 1, Algeria; ; Kharfouch, Soumia: University Salah Boubnider Constantine 3, Algeria;
Keywords
functional data; truncated data; almost sure convergence; local linear estimator
Abstract

In this paper, a nonparametric estimation of a generalized regression function is proposed. The real response random variable (r.v.) is subject to left-truncation by another r.v. while the covariate takes its values in an infinite dimensional space. Under standard assumptions, the pointwise and the uniform almost sure convergences, of the proposed estimator, are established

Pages
480–491
DOI
10.17516/1997-1397-2020-13-4-480-491
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/135356