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

共 50 条

[31] Nonparametric regression for mixing functional random variables
Ferraty, F
Goia, A
Vieu, P
COMPTES RENDUS MATHEMATIQUE, 2002, 334 (03) : 217 - 220
[32] On the maximum likelihood estimation of a discrete, finite support distribution under left-truncation and competing risks
Lautier, Jackson P.
Pozdnyakov, Vladimir
Yan, Jun
STATISTICS & PROBABILITY LETTERS, 2024, 207
[33] Variable selection and estimation for the additive hazards model subject to left-truncation, right-censoring and measurement error in covariates
Chen, Li-Pang
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2020, 90 (18) : 3261 - 3300
[34] Asymptotic Normality of Nonparametric Kernel Regression Estimation for Missing at Random Functional Spatial Data
Alshahrani, Fatimah
Almanjahie, Ibrahim M.
Benchikh, Tawfik
Fetitah, Omar
Attouch, Mohammed Kadi
JOURNAL OF MATHEMATICS, 2023, 2023
[35] Comparing censoring and random truncation via nonparametric estimation of a distribution function
Yang, GL
Caditz, DM
STATISTICAL CHALLENGES IN MODERN ASTRONOMY II, 1997, : 83 - 104
[36] NONPARAMETRIC RANDOM EFFECTS FUNCTIONAL REGRESSION MODEL USING GAUSSIAN PROCESS PRIORS
Wang, Zhanfeng
Ding, Hao
Chen, Zimu
Shi, Jian Qing
STATISTICA SINICA, 2021, 31 (01) : 53 - 78
[37] Recursive estimation of nonparametric regression with functional covariate
Amiri, Aboubacar
Crambes, Christophe
Thiam, Baba
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2014, 69 : 154 - 172
[38] On robust nonparametric regression estimation for a functional regressor
Azzedine, Nadjia
Laksaci, Ali
Ould-Saied, Elias
STATISTICS & PROBABILITY LETTERS, 2008, 78 (18) : 3216 - 3221
[39] Nonparametric estimation of a switching regression model
Guilatco, Ruffy S.
Barrios, Erniel B.
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2017, 46 (02) : 840 - 854
[40] Robust Nonparametric Estimation for Functional Spatial Regression
Attouch, Mohammed K.
Gheriballah, Abdelkader
Laksaci, Ali
RECENT ADVANCES IN FUNCTIONAL DATA ANALYSIS AND RELATED TOPICS, 2011, : 27 - 31

← 1 2 3 4 5 →