Large sample properties of some survival estimators in heterogeneous samples

Journal of Statistical Planning and Inference

Volumn 60, Issue 1, 1997, Pages 123-138

  Shen, Yu ^a   Fleming, Thomas R ^b  

^a UNIVERSITY OF TEXAS MD ANDERSON CANCER CENTER   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Heterogeneous samples; Kaplan Meier estimator; Mean hazard estimator; Mean survival estimator; Proportional hazards

Indexed keywords

EID: 0031590998     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(96)00124-3     Document Type: Article

References (18)

1. Amato, D.A. (1988). A generalized Kaplan-Meier estimator for heterogeneous populations. Comm. Statist. Theory Methods 17(1), 263-286.
2. Andersen, P.K. and R.D. Gill (1982). Cox's regression model for counting processes: A large sample study. Ann Statist. 10, 1100-1120.
3. Breslow, N.E. (1972). Contribution to the discussion on the paper by D.R. Cox, Regression and life tables. J. Roy. Statist. Soc. B 34, 216-217.
4. Cox, D.R. (1972). Regression models and life-tables. J. Roy. Statist. Soc. B 34, 187-202.
5. Cox, D.R. (1975). Partial likelihood. Biometrika 62, 269-276.
6. Chang, I.M. R. Gelman and M. Pagano (1982). Corrected groups prognostic curves and summary statistics. J. Chronic Diseases 35, 669-674.
7. Fleming, T.R. and D.P. Harrington (1991). Counting Processes and Survival Analysis. Wiley, New York.
8. Gill, R.D. (1980). Censoring and Stochastic Integrals. Mathematical Centre Tracts, Vol. 124, Mathematisch Centrum, Amsterdam.
9. Gill, R.D. (1983). Large sample behavior of the product limit estimator on the whole line. Ann. Statist. 11, 49-58.
10. Hahn, M. (1977). Conditions for sample-continuity and central limit theorem. Ann. Probab. 5(3), 351-360.
11. ICGDCSG (The International Chronic Granulomatous Disease Cooperative Study Group) (1991). A Controlled trial of interferon gamma to prevent infection in chronic granulomatous disease. New England J. Medicine 324, 509-516.
12. Kalbfleisch J.D. and R.L. Prentice (1980). The Statistical Analysis of Failure Time Data. Wiley, New York.
13. Kaplan, E. L. and P. Meier (1958). Nonparametric estimation from incomplete observations. J. Amer. Statist. Assoc. 53, 457-481.
14. Makuch, R. W. (1982). Adjusted survival curve estimation using covariates. J. Chronic Diseases 35, 437-443.
15. Shen, Y. (1994). Estimation of survival distribution in heterogeneous samples and assessment of treatment effects, Ph.D. thesis, University of Washington, Seattle.
16. Slud, E.V. and L.V. Rubinstein (1983). Dependent competing risks and summary survival curves. Biometrika 70, 643-649.
17. Tsiatis, A.A. (1981). A large sample study of Cox's regression model. Ann. Statist. 9, 93-108.
18. Wellner, J.A. (1982). Asymptotic optimality of the product limit estimator. Ann. Statist. 13, 150-62.