On the likelihood of mixture cure models

被引:1
作者
Wang, Antai [1 ]
Zhang, Yilong [2 ]
Shao, Yongzhao [2 ]
机构
[1] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA
[2] NYU, Sch Med, Div Biostat, New York, NY USA
关键词
Complete-data likelihood; EM algorithm; Mixture cure model; Survival transformation models; CENSORED-DATA; REGRESSION; SURVIVAL;
D O I
10.1016/j.spl.2017.08.006
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
The EM algorithm has been used for inference of the mixture cure models. However, the complete-data and incomplete-data specifications have never been postulated appropriately in literature. The goal of this paper is to fill in this gap by deriving proper specifications. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:51 / 55
页数:5
相关论文
共 14 条
[1]   SURVIVAL CURVE FOR CANCER PATIENTS FOLLOWING TREATMENT [J].
BERKSON, J ;
GAGE, RP .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1952, 47 (259) :501-515
[2]  
BUCKLEY J, 1979, BIOMETRIKA, V66, P429
[3]   smcure: An R-package for estimating semiparametric mixture cure models [J].
Cai, Chao ;
Zou, Yubo ;
Peng, Yingwei ;
Zhang, Jiajia .
COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE, 2012, 108 (03) :1255-1260
[4]  
Chen YQ, 2000, J AM STAT ASSOC, V95, P608
[5]  
COX DR, 1972, J R STAT SOC B, V34, P187
[6]   MAXIMUM LIKELIHOOD FROM INCOMPLETE DATA VIA EM ALGORITHM [J].
DEMPSTER, AP ;
LAIRD, NM ;
RUBIN, DB .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1977, 39 (01) :1-38
[7]   THE USE OF MIXTURE-MODELS FOR THE ANALYSIS OF SURVIVAL-DATA WITH LONG-TERM SURVIVORS [J].
FAREWELL, VT .
BIOMETRICS, 1982, 38 (04) :1041-1046
[8]   On least-squares regression with censored data [J].
Jin, ZZ ;
Lin, DY ;
Ying, ZL .
BIOMETRIKA, 2006, 93 (01) :147-161
[9]  
KUK AYC, 1992, BIOMETRIKA, V79, P531, DOI 10.1093/biomet/79.3.531
[10]   On semiparametric transformation cure models [J].
Lu, WB ;
Ying, ZL .
BIOMETRIKA, 2004, 91 (02) :331-343