Nonparametric analysis of recurrent events and death

Biometrics

Volumn 56, Issue 2, 2000, Pages 554-562

  Ghosh, Debashis ^a   Lin, D Y ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Competing risks; Counting process; Cumulative incidence; Empirical process; Multiple events; Terminal event

Indexed keywords

RISK ASSESSMENT; STATISTICS;

COMPETING RISKS; COUNTING PROCESS; CUMULATIVE INCIDENCE; CUMULATIVE NUMBER; EMPIRICAL PROCESS; MEAN FREQUENCY; MULTIPLE EVENTS; NON-PARAMETRIC ANALYSIS; RECURRENT EVENTS; TERMINAL EVENT;

STATISTICAL TESTS;

PLACEBO; PYRIDOXINE; THIOTEPA;

ARTICLE; DEATH; EMPIRICISM; FREQUENCY ANALYSIS; HUMAN; RECURRENCE RISK; RECURRENT CANCER; RECURRENT DISEASE; SIMULATION; STATISTICAL ANALYSIS;

EID: 0033936470     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.2000.00554.x     Document Type: Article

References (20)

1. Albert, P. S. (1991). A two-state Markov mixture model for a time series of epileptic seizure counts. Biometrics 47, 1371-1381.
2. Andersen, P. K. and Gill, R. D. (1982). Cox's regression model for counting processes: A large sample study. The Annals of Statistics 10, 1100-1120.
3. Andersen, P. K., Borgan, O., Gill, R. D., and Keiding, N. (1993). Statistical Models Based on Counting Processes. New York: Springer-Verlag.
4. Byar, D. P. (1980). The Veterans Administration study of chemoprophylaxis for recurrent stage I bladder tumors: Comparisons of placebo, pyridoxine and topical thiotepa. In Bladder Tumors and Other Topics in Urological Oncology, M. Pavone-Macaluso, P. H. Smith, and F. Edsmyr (eds), 363-370. New York: Plenum.
5. Cheng, S. C., Fine, J. P., and Wei, L. J. (1998). Prediction of cumulative incidence function under the proportional hazards model. Biometrics 54, 219-228.
6. Cook, R. J. and Lawless, J. F. (1997). Marginal analysis of recurrent events and a terminating event. Statistics in Medicine 16, 911-924.
7. Cook, R. J., Lawless, J. F., and Nadeau, C. (1996). Robust tests for treatment comparisons based on recurrent event responses. Biometrics 52, 557-571.
8. Fleming, T. R. and Harrington, D. P. (1991). Counting Processes and Survival Analysis. New York: Wiley and Sons.
9. Gill, R. D. (1980). Censoring and Stochastic Integrals. Amsterdam: The Mathematical Centre.
10. Gray, R. J. (1988). A class of K-sample tests for comparing the cumulative incidence of a competing risk. The Annals of Statistics 16, 1141-1154.
11. Gumbel, E. J. (1960). Bivariate exponential distributions. Journal of the American Statistical Association 55, 698-707.
12. Hobson, R. W., Weiss, D. G., Fields, W. S., Goldstone, J., Moore, W. S., Towne, J. B., Wright, C. D., and the Veterans Affairs Cooperative Study Group. (1993). Effect of carotid endarterectomy for asymptomatic carotid stenosis. New England Journal of Medicine 328, 221-227.
13. Kalbfleisch, J. D. and Prentice, R. L. (1980). The Statistical Analysis of Failure Time Data. New York: Wiley.
14. Lawless, J. F. and Nadeau, C. (1995). Some simple robust methods for the analysis of recurrent events. Technometrics 37, 158-168.
15. Li, Q. and Lagakos, S. (1997). Use of the Wei-Lin-Weissfeld method for the analysis of a recurring and a terminating event. Statistics in Medicine 16, 925-940.
16. Lin, D. Y. (1997). Non-parametric inference for cumulative incidence functions in competing risks studies. Statistics in Medicine 16, 901-910.
17. Lin, D. Y., Wei, L. J., and Ying, Z. (1998). Accelerated failure time models for counting processes. Biometrika 85, 605-618.
18. Pepe, M. S. and Cai, J. (1993). Some graphical displays and marginal regression analyses for recurrent failure times and time dependent covariates. Journal of the American Statistical Association 88, 811-820.
19. Pepe, M. S. and Fleming, T. R. (1989). Weighted Kaplan-Meier statistics: A class of distance tests for censored survival data. Biometrics 45, 497-507.
20. Pepe, M. S. and Mori, N. (1993). Kaplan-Meier, marginal or conditional probability curves in summarizing competing risks failure time data? Statistics in Medicine 12, 737-751.