Nonparametric robust regression estimation for censored data

被引：0
|
作者：
Mohamed Lemdani
Elias Ould Saïd
机构：
[1] Univ. de Lille 2.,Lab. Biomathématiques, Fac. de Pharmacie
[2] Univ. Lille Nord de France,undefined
[3] Univ. du Littoral Côte d’Opale,undefined
[4] LMPA,undefined
来源：
Statistical Papers | 2017年 / 58卷
关键词：
Asymptotic normality; Censored data; Kaplan-Meier estimator; Kernel estimator; Robust estimation; Uniform almost sure convergence; Primary 62G20; Secondary 62G07; 62N01; 62E20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider a robust regression estimator when the interest random variable is subject to random right-censoring. Based on the so-called synthetic data, we define a new kernel estimator. Under classical conditions and using a VC-classes theory, we establish its uniform consistency with rate and asymptotic normality properties. Special cases are studied and simulations are drawn to illustrate the main results.
引用
收藏
页码：505 / 525
页数：20
相关论文
共 50 条
  • [21] NONPARAMETRIC REGRESSION WITH CENSORED SURVIVAL-DATA
    YANDELL, BS
    [J]. BIOMETRICS, 1983, 39 (03) : 813 - 813
  • [22] Nonparametric Regression with Interval-Censored Data
    Wen Li DENG
    Zu Kang ZHENG
    Ri Quan ZHANG
    [J]. Acta Mathematica Sinica,English Series, 2014, 30 (08) : 1422 - 1434
  • [23] Nonparametric quantile regression for twice censored data
    Volgushew, Stanislav
    Dette, Holger
    [J]. BERNOULLI, 2013, 19 (03) : 748 - 779
  • [24] Nonparametric Regression with Interval-Censored Data
    Deng, Wen Li
    Zheng, Zu Kang
    Zhang, Ri Quan
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (08) : 1422 - 1434
  • [25] NONPARAMETRIC QUANTILE REGRESSION WITH CENSORED-DATA
    DABROWSKA, DM
    [J]. SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A, 1992, 54 : 252 - 259
  • [26] Robust nonparametric estimation for spatial regression
    Gheriballah, Abdelkader
    Laksaci, Ali
    Rouane, Rachida
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2010, 140 (07) : 1656 - 1670
  • [27] Robust estimation for nonparametric generalized regression
    Bianco, Ana M.
    Boente, Graciela
    Sombielle, Susana
    [J]. STATISTICS & PROBABILITY LETTERS, 2011, 81 (12) : 1986 - 1994
  • [28] ROBUST REGRESSION WITH CENSORED-DATA
    BASAK, I
    [J]. NAVAL RESEARCH LOGISTICS, 1992, 39 (03) : 323 - 344
  • [29] Nonparametric estimation and regression analysis with left-truncated and right-censored data
    Gross, ST
    Lai, TL
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1996, 91 (435) : 1166 - 1180
  • [30] On the Nonparametric Estimation of the Functional Regression Based on Censored Data under Strong Mixing Condition
    Leulmi, Farid
    Leulmi, Sara
    Kharfouchi, Soumia
    [J]. JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2022, 15 (04): : 523 - 536
12345