Towards a general asymptotic theory for cox model with staggered entry

Annals of Statistics

Volumn 25, Issue 2, 1997, Pages 662-682

  Bilias, Yannis ^a   Gu G , Minggao ^b   Ying, Zhiliang ^c  

^a IOWA STATE UNIVERSITY   (United States)

^b MCGILL UNIVERSITY   (Canada)

^c RUTGERS UNIVERSITY   (United States)

Author keywords

Empirical processes; Functional central limit theorem; Manageability, and random fields; Partial likelihood score; Proportional hazards regression; Pseudodimension; Staggered entry

Indexed keywords

EID: 0031536712     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1031833668     Document Type: Article

References (17)

1. ANDERSEN, P. K., BORGAN, Ø., GILL, R. D. and KEIDING, N. (1993). Statistical Models Based on Counting Processes. Springer, New York.
2. ANDERSEN, P. K. and GILL, R. D. (1982). Cox's regression model for counting processes: a large sample study. Ann. Statist. 10 1100-1120.
3. COX, D. R. (1972). Regression models and life-tables (with discussion). J. Roy. Statist. Soc. Ser. B 34 187-220.
4. COX, D. R. (1975). Partial likelihood. Biometrika 62 269-276.
5. GILL, R. D. and SCHUMACHER, M. (1987). A simple test of the proportional hazards assumption. Biometrika 74 289-300.
6. GOFFMAN, C. (1965). Calculus of Several Variables. Harper and Row, New York.
7. GU, M. G. and LAI, T. L. (1991). Weak convergence of time-sequential censored rank statistics with applications to sequential testing in clinical trials. Ann. Statist. 19 1403-1433.
8. GU, M. G. and YING, Z. (1995). Group sequential methods for survival data using partial likelihood score processes with covariate adjustment. Statist. Sinica 5 793-804.
9. KALBFLEISCH, J. D., LAWLESS, J. F. and ROBINSON, J. A. (1991). Methods for the analysis and prediction of warranty claims. Technometrics 33 273-285.
10. LAI, T. L. and YING, Z. (1988). Stochastic integral of empirical-type processes with applications to censored regression. J. Multivariate Anal. 27 334-358.
11. LIN, D. Y. (1991). Goodness-of-fit analysis for the Cox regression model based on a class of parameter estimators. J. Amer. Statist. Assoc. 86 725-728.
12. LIN, D. Y., SHEN, L., YING, Z. and BRESLOW, N. (1996). Group sequential designs for monitoring survival probabilities. Biometrics 52 1033-1041.
13. POLLARD, D. (1990). Empirical Processes: Theory and Applications. IMS, Hayward, CA.
14. SELLKE, T. and SIEGMUND, D. (1983). Sequential analysis of the proportional hazards model. Biometrika 70 315-326.
15. SLUD, E. V. (1984). Sequential linear rank tests for two-sample censored survival data. Ann. Statist. 12 551-571.
16. SLUD, E. and WEI, L. J. (1982). Two-sample repeated significance tests based on the modified Wilcoxon statistic. J. Amer. Statist. Assoc. 77 862-868.
17. TSIATIS, A. A., ROSNER, G. L. and TRITCHLER, D. L. (1985). Group sequential tests with censored survival data adjusting for covariates. Biometrika 72 365-373.