Analysis of parametric models for competing risks

Statistica Sinica

Volumn 12, Issue 3, 2002, Pages 725-750

  Maller, Ross A ^a   Zhou, Xian ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

Causes of death; Censored data; Competing risks; Likelihood ratio test; Maximum likelihood estimation; Mixture models; Survival analysis

Indexed keywords

EID: 0036660587     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. Andersen, P.K., Borgan, O., Gill, R.G. and Keiding, N. (1993). Statistical Models Based on Counting Processes. Springer-Verlag, New York.
2. Cox, D.R. and Oakes, D. (1984). Analysis Survival Data. Chapman and Hall, London.
3. David, H.A. and Moeschberger, M.L. (1978). The Theory of Competing Risks. Griffin, London.
4. Elandt-Johnson, R.C. and Johnson, N.L. (1980). Survival Models and Data Analysis. Wiley, New York.
5. Escarela, G. Francis, B. and Soothill, K. (2000). Competing risks, persistence and desistence in crime: a case study of ex-offenders convicted of indecent assault on a female. J. Quantitative Criminology 16, 385-414.
6. Farewell, V.T. (1977). A model for a binary variable with time censored observations. Biometrika 64, 43-46.
7. Fleming, T.R. and Harrington, D.P. (1991). Counting Processes and Survival Analysis. Wiley, New York.
8. Gaynor, J.J., Feuer, E.J., Tan, C.C., Wu, D.H., Little, C.R., Straus, D.J., Clarkson, B.D. and Brennan, M.F. (1993). On the use of cause-specific failure and conditional failure probabilities: examples from clinical oncology data. J. Amer. Statist. Soc. 88, 400-409.
9. Ghitany, M.E. and Maller, R.A. (1992). Asymptotic results for exponential mixture models with long term survivors. Statistics 23, 321-336.
10. Ghitany, M.E., Maller, R.A. and Zhou, X. (1994). Exponential mixture models with long term survivors and covariates. J. Multivariate Anal. 49, 218-241.
11. Kalbfleisch, J.D. and Prentice, R.L. (1980). The Statistical Analysis of Failure Time Data. Wiley, N.Y.
12. Kaplan, E.L. and Meier, P. (1958). Nonparametric estimation from incomplete observations. J. Amer. Statist. Assoc. 53, 457-481.
13. Lagakos, S.W., Sommer, C.J. and Zelen, M. (1978). Semi-Markov models for partially censored data. Biometrika 65, 311-317.
14. Larson, M.G. and Dinse, G.E. (1985). A mixture model for the regression analysis of competing risks data. Appl. Statist. 34, 201-211.
15. Lemdani, M. and Pons, O. (1997). Estimation and tests in finite mixture models for censored survival data. Statistics 29, 363-388.
16. Lin, D.Y. (1997). Nonparametric inference for cumulative incidence functions in competing risks studies. Statist. in Medicine 16, 901-910.
17. Maller, R.A. (1993). Quadratic negligibility and the asymptotic normality of operator normed sums. J. Multivariate Anal. 44, 191-219.
18. Maller, R.A. and Zhou, X. (1996). Survival Analysis with Long-Term Survivors. Wiley, Chichester.
19. Pepe, M.S. and Mori, M. (1993). Kaplan-Meier, marginal or conditional probability curves in summarising competing risks failure time data? Statist. in Medicine 12, 737-751.
20. Prentice, R.L., Kalbfleisch, J.D., Peterson, A.V., Flournoy, N., Farewell, V.T. and Breslow, N.E. (1978). The analysis of failure times in the presence of competing risks. Biometrics 34, 541-554.
21. Self, S.G. and Liang, K. (1987). Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions. J Amer. Statist. Assoc. 82, 605-610.
22. Tai, B.-C., Machin, D., White, I. and Gebski, V. (2001). Competing risks analysis of patients with osteosarcoma: a comparison of four different approaches. Statist. in Medicine 20, 661-684.
23. Vu, H.T.V., Maller, R.A. and Klass, M.J. (1996). On the studentisation of random vectors. J. Multivariate Anal. 57, 142-155.
24. Vu, H.T.V., Maller, R.A. and Zhou, X. (1998). Mixture models for failure data. Ann. Inst. Statist. Math. 50, 627-653.
25. Vu, H.T.V. and Zhou, X. (1997). Generalisation of likelihood ratio tests under nonstandard conditions. Ann. Statist. 25, 897-916.
26. Zhou, X. and Maller, R.A. (1995). The likelihood ratio test for the presence of immunes in a censored sample. Statistics 27, 181-201.