Strong consistency of local linear estimation of a conditional density function under random censorship

Author:

Benkhaled Abdelkader,Madani FethiORCID,Khardani Salah

Abstract

AbstractIn this paper, we study nonparametric local linear estimation of the conditional density of a randomly censored scalar response variable given a functional random covariate. We establish under general conditions the pointwise almost sure convergence with rates of this estimator under $$\alpha $$ α -mixing dependence. Finally, to show interests of our results, on the practical point of view, we have conducted a computational study, first on a simulated data and, then on some real data concerning Kidney transplant data.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference23 articles.

1. Ait-Sahalia, Y.: Transition densities for interest rate and other non-linear diffusions. J. Finance 54, 1361–1395 (1999)

2. Barrientos-Marin, J.; Ferraty, F.; Vieu, P.: Locally modelled regression and functional data. J. Nonparametr. Stat. 22(3), 617–632 (2009)

3. Bashtannyk, D.M.; Hyndman, R.J.: Bandwidth selection for kernel conditional density estimation. Comput. Stat. Data Anal. 36, 279–298 (2001)

4. Baillo, A.; Grané, A.: Local linear regression for functional predictor and scalar response. J. Multivar. Anal. 100, 102–111 (2009)

5. Beran, R.: Nonparametric regression with randomly censored survival data, Technical Report, Department of Statistics, University of California, Berkeley, CA (1981)

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3