TIME-DEPENDENT COEFFICIENTS IN A COX-TYPE REGRESSION-MODEL

被引:107
作者
MURPHY, SA [1 ]
SEN, PK [1 ]
机构
[1] UNIV N CAROLINA,DEPT STAT,CHAPEL HILL,NC 27599
关键词
COUNTING PROCESSES; COX REGRESSION; MARTINGALES; METHOD OF SIEVES;
D O I
10.1016/0304-4149(91)90039-F
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
Estimation of a time-varying coefficient in a Cox-type parameterization of the stochastic intensity of a point process is considered. A sieve estimation procedure (Grenander, 1981) is used to estimate the coefficient. A rate of convergence in probability for the sieve estimator is given and a functional CLT for the integrated sieve estimator is proved.
引用
收藏
页码:153 / 180
页数:28
相关论文
共 28 条
[1]   NONPARAMETRIC INFERENCE FOR A FAMILY OF COUNTING PROCESSES [J].
AALEN, O .
ANNALS OF STATISTICS, 1978, 6 (04) :701-726
[2]   MAXIMUM-LIKELIHOOD ESTIMATION OF PARAMETERS SUBJECT TO RESTRAINTS [J].
AITCHISON, J ;
SILVEY, SD .
ANNALS OF MATHEMATICAL STATISTICS, 1958, 29 (03) :813-828
[3]   COX REGRESSION-MODEL FOR COUNTING-PROCESSES - A LARGE SAMPLE STUDY [J].
ANDERSEN, PK ;
GILL, RD .
ANNALS OF STATISTICS, 1982, 10 (04) :1100-1120
[4]  
BILLINGSLEY P, 1968, STATISTICAL INFERENC
[5]  
Billingsley P, 1968, CONVERGENCE PROBABIL
[6]  
Bremaud P., 1981, POINT PROCESSES QUEU
[7]   USE OF INDICATOR VARIABLES FOR STUDYING TIME-DEPENDENCE OF PARAMETERS IN A RESPONSE-TIME MODEL [J].
BROWN, CC .
BIOMETRICS, 1975, 31 (04) :863-872
[8]  
COX DR, 1972, J R STAT SOC B, V34, P187
[9]   NONPARAMETRIC MAXIMUM-LIKELIHOOD ESTIMATION BY THE METHOD OF SIEVES [J].
GEMAN, S ;
HWANG, CR .
ANNALS OF STATISTICS, 1982, 10 (02) :401-414
[10]  
Gill R., 1980, CENSORING STOCHASTIC