ASYMPTOTIC PROPERTIES OF SELF-CONSISTENT ESTIMATORS BASED ON DOUBLY CENSORED-DATA

被引:95
作者
GU, MG [1 ]
ZHANG, CH [1 ]
机构
[1] RUTGERS UNIV,HILL CTR,DEPT STAT,NEW BRUNSWICK,NJ 08903
关键词
SURVIVAL DISTRIBUTION; CENSORED DATA; SELF-CONSISTENCY; CONSISTENCY; ASYMPTOTIC NORMALITY; WEAK CONVERGENCE; EFFICIENCY;
D O I
10.1214/aos/1176349140
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 paper concerns self-consistent estimators for survival functions based on doubly censored data. We establish strong uniform consistency, asymptotic normality and asymptotic efficiency of the estimators under mild conditions on the distributions of the censoring variables.
引用
收藏
页码:611 / 624
页数:14
相关论文
共 19 条
[1]   AN EMPIRICAL DISTRIBUTION FUNCTION FOR SAMPLING WITH INCOMPLETE INFORMATION [J].
AYER, M ;
BRUNK, HD ;
EWING, GM ;
REID, WT ;
SILVERMAN, E .
ANNALS OF MATHEMATICAL STATISTICS, 1955, 26 (04) :641-647
[2]   ESTIMATING A DISTRIBUTION FUNCTION [J].
BERAN, R .
ANNALS OF STATISTICS, 1977, 5 (02) :400-404
[3]   LARGE SAMPLE STUDY OF LIFE TABLE AND PRODUCT LIMIT ESTIMATES UNDER RANDOM CENSORSHIP [J].
BRESLOW, N ;
CROWLEY, J .
ANNALS OF STATISTICS, 1974, 2 (03) :437-453
[4]   STRONG CONSISTENCY OF A NONPARAMETRIC ESTIMATOR OF THE SURVIVAL FUNCTION WITH DOUBLY CENSORED-DATA [J].
CHANG, MN ;
YANG, GL .
ANNALS OF STATISTICS, 1987, 15 (04) :1536-1547
[6]  
Cox DR, 1984, ANAL SURVIVAL DATA, pviii
[7]  
EFRON B, 1967, 5TH P BERK S, V4, P831
[8]   LARGE SAMPLE BEHAVIOR OF THE PRODUCT-LIMIT ESTIMATOR ON THE WHOLE LINE [J].
GILL, R .
ANNALS OF STATISTICS, 1983, 11 (01) :49-58
[9]  
GILL RD, 1989, SCAND J STAT, V16, P97
[10]  
GROENEBOOM P, 1987, 8718 U AMST DEPT MAT