Estimation of percentile residual life function with left-truncated and right-censored data

被引：1

作者：

Zhao, Mu ^{[1
,2
]}

Jiang, Hongmei ^{[1
]}

Zhou, Yong ^{[3
,4
]}

机构：

[1] Northwestern Univ, Dept Stat, Evanston, IL 60208 USA

[2] Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China

[4] Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2017年 / 46卷 / 02期

关键词：

Confidence interval; Left-truncated and right-censored data; Percentile residual life function; TJW product-limit process; PRODUCT-LIMIT ESTIMATOR; CONFIDENCE BANDS; CHARACTERIZATION THEOREM; QUANTILE PROCESS; MODEL; INFERENCE;

D O I：

10.1080/03610926.2015.1010006

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This article focuses on the estimation of percentile residual life function with left-truncated and right-censored data. Asymptotic normality and a pointwise confidence interval that does not require estimating the unknown underlying distribution function of the proposed empirical estimator are obtained. Some simulation studies and a real data example are used to illustrate our results.

引用

页码：995 / 1006

页数：12

共 50 条

[1] A note on estimation of the mean residual life function with left-truncated and right-censored data
Zhao, Mu
Jiang, Hongmei
Liu, Xu
[J]. STATISTICS & PROBABILITY LETTERS, 2013, 83 (10) : 2332 - 2336
[2] Presmoothed estimation with left-truncated and right-censored data
Jacome, M. A.
Iglesias-Perez, M. C.
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2008, 37 (18) : 2964 - 2983
[3] Quantile residual lifetime for left-truncated and right-censored data
YiXin Wang
Peng Liu
Yong Zhou
[J]. Science China Mathematics, 2015, 58 : 1217 - 1234
[4] Quantile residual lifetime for left-truncated and right-censored data
Wang YiXin
Liu Peng
Zhou Yong
[J]. SCIENCE CHINA-MATHEMATICS, 2015, 58 (06) : 1217 - 1234
[5] Quantile residual lifetime for left-truncated and right-censored data
WANG YiXin
LIU Peng
ZHOU Yong
[J]. Science China Mathematics, 2015, 58 (06) : 1217 - 1234
[6] Nonparametric estimation of the bivariate survival function with left-truncated and right-censored data
Shen, Pao-Sheng
Yan, Ya-Fang
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2008, 138 (12) : 4041 - 4054
[7] Nonparametric bivariate estimation with left-truncated and right-censored data
Shen, PS
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2005, 34 (07) : 1675 - 1685
[8] Estimation of the truncation probability with left-truncated and right-censored data
Shen, PS
[J]. JOURNAL OF NONPARAMETRIC STATISTICS, 2005, 17 (08) : 957 - 969
[9] Regression models for the restricted residual mean life for right-censored and left-truncated data
Cortese, Giuliana
Holmboe, Stine A.
Scheike, Thomas H.
[J]. STATISTICS IN MEDICINE, 2017, 36 (11) : 1803 - 1822
[10] 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

← 1 2 3 4 5 →