On the Nonparametric Estimation of the Functional ψ-Regression for a Random Left-Truncation Model

被引：13

作者：

Derrar S. ^{[1
]}

Laksaci A. ^{[1
]}

Ould Said E. ^{[2
,3
]}

机构：

[1] Laboratoire de Statistique et Processus Stochastiques, Université de Sidi Bel Abbès, Sidi Bel Abbès

[2] Université Lille Nord de France, LMPA, Centre de la Mi-Voix, Calais

[3] Université de Lille Nord France, ULCO, LMPA, Lille

来源：

Journal of Statistical Theory and Practice | 2015年 / 9卷 / 4期

关键词：

Asymptotic normality; Functional data; Kernel estimator; Lynden-Bell estimator; Robust estimation; Small balls probabilities; Strong consistency; Truncated data;

D O I：

10.1080/15598608.2015.1032455

中图分类号：

学科分类号：

摘要：

In this article we study a family of nonparametric estimators for the ψ-regression model when the response variable is subject to left-truncation by another random variable. Under standard assumptions, we get the almost complete convergence rate as well as asymptotic normality of the construct estimators. The obtained asymptotic normality permits getting a confidence interval usable in practice. Some simulations are drawn to illustrate the main results. © Grace Scientific Publishing, LLC.

引用

页码：823 / 849

页数：26

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