CONFIDENCE BANDS FOR SURVIVAL CURVES UNDER THE PROPORTIONAL HAZARDS MODEL

被引:138
作者
LIN, DY [1 ]
FLEMING, TR [1 ]
WEI, JL [1 ]
机构
[1] HARVARD UNIV,DEPT BIOSTAT,BOSTON,MA 02115
关键词
CENSORING; COUNTING PROCESS; COX REGRESSION; EQUAL-PRECISION BAND; GAUSSIAN PROCESS; HALL-WELLNER BAND; MARTINGALE; SIMULTANEOUS INFERENCE;
D O I
10.2307/2337051
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we show how to construct simultaneous confidence bands for the subject-specific survival curve under the Cox proportional hazards model. The idea is to approximate the distribution of the normalized cumulative hazard estimator by a zero-mean Gaussian process whose distribution can be easily generated through simulation. Numerical studies indicate that the proposed bands are appropriate for practical use. A liver disease example is presented.
引用
收藏
页码:73 / 81
页数:9
相关论文
共 13 条
[1]  
Andersen P, 1993, STATISTICAL MODELS B
[2]   COX REGRESSION-MODEL FOR COUNTING-PROCESSES - A LARGE SAMPLE STUDY [J].
ANDERSEN, PK ;
GILL, RD .
ANNALS OF STATISTICS, 1982, 10 (04) :1100-1120
[3]  
BIE O, 1987, SCAND J STAT, V14, P221
[4]  
Billingsley P, 1968, CONVERGENCE PROBABIL
[5]  
Breslow, 1972, J R STAT SOC B, V34, P216, DOI [10.1111/j.2517-6161.1972.tb00900.x, DOI 10.1111/J.2517-6161.1972.TB00900.X]
[6]   PARTIAL LIKELIHOOD [J].
COX, DR .
BIOMETRIKA, 1975, 62 (02) :269-276
[7]  
COX DR, 1972, J R STAT SOC B, V34, P187
[8]   PROGNOSIS IN PRIMARY BILIARY-CIRRHOSIS - MODEL FOR DECISION-MAKING [J].
DICKSON, ER ;
GRAMBSCH, PM ;
FLEMING, TR ;
FISHER, LD ;
LANGWORTHY, A .
HEPATOLOGY, 1989, 10 (01) :1-7
[9]  
Fleming T. R., 1991, COUNTING PROCESSES S
[10]   EXTRAMURAL CROSS-VALIDATION OF THE MAYO PRIMARY BILIARY-CIRRHOSIS SURVIVAL MODEL ESTABLISHES ITS GENERALIZABILITY [J].
GRAMBSCH, PM ;
DICKSON, ER ;
KAPLAN, M ;
LESAGE, G ;
FLEMING, TR ;
LANGWORTHY, AL .
HEPATOLOGY, 1989, 10 (05) :846-850