Local linear approach: Conditional density estimate for functional and censored data-Reference-Cited by-同舟云学术

Local linear approach: Conditional density estimate for functional and censored data

Published:2022-01-01 Issue:1 Volume:55 Page:315-327
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Benkhaled Abdelkader¹,Madani Fethi²

Affiliation:

1. Department of Biology, University of Mascara, Laboratory of Stochastic Models, Statistics and Applications, University Tahar Moulay of Saida , Mascara , 29000 , Algeria

2. University Tahar Moulay of Saida, Laboratory of Stochastic Models, Statistic and Applications , Saida , 20000 , Algeria

Abstract

Abstract Let

be a random real response, which is subject to right censoring by another random variable

. In this paper, we study the nonparametric local linear estimation of the conditional density of a scalar response variable and when the covariable takes values in a semi-metric space. Our main aim is to prove under some regularity conditions both the pointwise and the uniform almost-sure consistencies with convergence rates of the conditional density estimator related by this estimation procedure.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0018/pdf

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