Empirical likelihood type confidence intervals under random censorship

被引:22
作者
Adimari, G [1 ]
机构
[1] UNIV PADUA,DIPARTIMENTO SCI STAT,I-35121 PADUA,ITALY
关键词
censored data; empirical likelihood; Kaplan-Meier estimator; M-estimator; M-functional; profile likelihood;
D O I
10.1023/A:1003114711483
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 paper a simple way to obtain empirical likelihood type confidence intervals for the mean under random censorship is suggested. An extension to the more general case where the functional of interest is an M-functional is discussed and the proposed technique is used to construct confidence intervals for quantiles. The results of a simulation study carried out to assess the accuracy of these inferential procedures are also given.
引用
收藏
页码:447 / 466
页数:20
相关论文
共 16 条
[1]  
Andersen PK., 2012, Statistical models based on counting processes
[2]   A CONFIDENCE-INTERVAL FOR THE MEDIAN SURVIVAL-TIME [J].
BROOKMEYER, R ;
CROWLEY, J .
BIOMETRICS, 1982, 38 (01) :29-41
[4]   LARGE SAMPLE BEHAVIOR OF THE PRODUCT-LIMIT ESTIMATOR ON THE WHOLE LINE [J].
GILL, R .
ANNALS OF STATISTICS, 1983, 11 (01) :49-58
[5]   NONPARAMETRIC-ESTIMATION FROM INCOMPLETE OBSERVATIONS [J].
KAPLAN, EL ;
MEIER, P .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1958, 53 (282) :457-481
[6]   ON NONPARAMETRIC LIKELIHOOD RATIO ESTIMATION OF SURVIVAL PROBABILITIES FOR CENSORED-DATA [J].
LI, G .
STATISTICS & PROBABILITY LETTERS, 1995, 25 (02) :95-104
[7]   AN APPROXIMATE LIKELIHOOD PROCEDURE FOR CENSORED-DATA [J].
OAKES, D .
BIOMETRICS, 1986, 42 (01) :177-182
[8]   EMPIRICAL LIKELIHOOD RATIO CONFIDENCE-REGIONS [J].
OWEN, A .
ANNALS OF STATISTICS, 1990, 18 (01) :90-120
[9]   EMPIRICAL LIKELIHOOD FOR LINEAR-MODELS [J].
OWEN, A .
ANNALS OF STATISTICS, 1991, 19 (04) :1725-1747
[10]  
OWEN AB, 1988, BIOMETRIKA, V75, P237, DOI 10.1093/biomet/75.2.237