CONSISTENCY IN A PROPORTIONAL HAZARDS MODEL INCORPORATING A RANDOM EFFECT

被引:158
作者
MURPHY, SA
机构
关键词
COUNTING PROCESSES; SURVIVAL ANALYSIS; FRAILTY MODEL; RANDOM EFFECTS;
D O I
10.1214/aos/1176325492
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 frailty model is a generalization of Cox's proportional hazards model which includes a random effect. Nielsen, Gill, Andersen and Sorensen proposed an EM algorithm to estimate the cumulative baseline hazard and the variance of the random effect. Here existence and consistency of the estimators are proved. An example using truncated and censored data is considered.
引用
收藏
页码:712 / 731
页数:20
相关论文
共 11 条
[1]  
ANDERSEN P.K., 1988, CONT MATH, V80, P19, DOI DOI 10.1090/conm/080/999006
[2]  
ANDERSEN PK, 1993, STATISTICALA MODELS
[3]  
Bremaud P., 1981, POINT PROCESSES QUEU
[4]   MULTIVARIATE GENERALIZATIONS OF THE PROPORTIONAL HAZARDS MODEL [J].
CLAYTON, D ;
CUZICK, J .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY, 1985, 148 :82-117
[5]   EFFICIENCY OF ESTIMATORS FOR PARTIALLY SPECIFIED FILTERED MODELS [J].
GREENWOOD, PE ;
WEFELMEYER, W .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1990, 36 (02) :353-370
[6]  
Grenander U., 1981, ABSTRACT INFERENCE
[7]   MAXIMUM-LIKELIHOOD-ESTIMATION IN THE MULTIPLICATIVE INTENSITY MODEL VIA SIEVES [J].
KARR, AF .
ANNALS OF STATISTICS, 1987, 15 (02) :473-490
[8]   RANDOM TRUNCATION MODELS AND MARKOV-PROCESSES [J].
KEIDING, N ;
GILL, RD .
ANNALS OF STATISTICS, 1990, 18 (02) :582-602
[9]  
NIELSEN GG, 1992, SCAND J STAT, V19, P25
[10]  
RAO RR, 1963, THEOR PROBAB APPL, V8, P70