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Asymptotic normality of a relative error functional regression estimator under left truncation and right censoring

Year: 2025

Type: article

Abstract: In this article, we introduce a non parametric regression estimator based on a relative error criterion, for left truncated and right censored data with functional predictors. Left truncation and right censoring are common forms of incomplete data in survival analysis, where the event time of interest is only observed within a certain interval which adds some challenges to the regression task. We establish the asymptotic normality of our estimator and develop a procedure for constructing confidence intervals for the predicted responses. The theoretical results obtained are supported using simulation studies and a real data example from the energy field.

Source: Figshare

DOI: 10.6084/m9.figshare.29083160

Authors: Boucetta, Adel, Guessoum, Zohra, Ould-Said, Elias

Language: English

Topic: Statistical Methods and Inference

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6902350896

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