Parametric Estimator of Linear Model with Interval-Censored Data

被引:7
作者
Deng, Wenli [1 ]
Tian, Yong [2 ]
Lv, Qiuping [1 ]
机构
[1] Jiangxi Normal Univ, Dept Math & Informat Sci, Nanchang, Jiangxi, Peoples R China
[2] Jiangxi Agr Univ, Inst Technol, Nanchang, Peoples R China
基金
中国国家自然科学基金;
关键词
Interval-censored data; Least square method; Linear model; Unbiased transformation; FAILURE TIME DATA; REGRESSION;
D O I
10.1080/03610918.2011.621571
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
In this article, we consider the estimation of regression parameters in linear model in the presence of interval-censored data. When the response variable is interval-censored, the traditional methods can not be used to estimate the parameters directly. In this article, unbiased transformation is carried out and a new random variable which has the same expectation as the function of the response variable is established. With the regression analysis for the constructed statistic we conclude the estimator by least square method.
引用
收藏
页码:1794 / 1804
页数:11
相关论文
共 9 条
[1]  
BUCKLEY J, 1979, BIOMETRIKA, V66, P429
[2]  
[邓文丽 DENG WENLI], 2006, [应用概率统计, Chinese Journal of Applied Probability and Statistics], V22, P419
[3]   A PROPORTIONAL HAZARDS MODEL FOR INTERVAL-CENSORED FAILURE TIME DATA [J].
FINKELSTEIN, DM .
BIOMETRICS, 1986, 42 (04) :845-854
[4]  
Huang J, 1997, P 1 SEATTL S BIOST S, P123, DOI DOI 10.1007/978-1-4684-6316-3_8
[5]  
Sun J., 2006, ENCY BIOSTASTICS
[6]  
[叶慈南 Ye Cinan], 2003, [应用概率统计, Chinese Journal of Applied Probability and Statistics], V19, P259
[7]   Regression analysis of interval-censored failure time data with linear transformation models [J].
Zhang, ZG ;
Sun, LQ ;
Zhao, XQ ;
Sun, JG .
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2005, 33 (01) :61-70
[8]   A class of estimators of the mean survival time from interval censored data with application to linear regression [J].
Zheng Zu-kang .
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2008, 23 (04) :377-390
[9]  
Zhou X. Q., 2005, MATHEMATICS, V35, P387