A class of non-parametric tests in the competing risks model for comparing two samples

Scandinavian Journal of Statistics

Volumn 25, Issue 1, 1998, Pages 143-150

  Lindkvist, Håkan ^a   Belyaev, Yuri ^a  

^a UMEÅ UNIVERSITY   (Sweden)

Author keywords

Competing risks; Local optimal test; Martingale; Neighbouring hypotheses; Nelson Aalen estimator; Reliability

Indexed keywords

EID: 0032379865     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9469.00094     Document Type: Article

References (21)

1. Aalen, O. O. (1978). Non-parametric inference for a family of counting processes. Ann. Statist. 6, 701-726.
2. Andersen, P. K. (1983). Comparing survival distributions via hazard ratio estimates. Scand. J. Statist. 10, 77-85.
3. Andersen, P. K., Borgan, Ø., Gill, R. D. & Keiding, N. (1982). Linear non-parametric tests for comparison of counting processes, with application to censored survival data (with discussion). Int. Statist. Rev. 50, 219-258. Amendment: 52, 225 (1984).
4. Andersen, P. K., Borgan, Ø., Gill, R. D. & Keiding, N. (1993). Statistical models based on counting processes. Springer-Verlag, New York.
5. Bagai, I., Deshpande, J. V. & Kochar, S. C. (1989). A distribution-free test for the equality of failure rates due to two competing risks. Comm. Statist. Theory Methods 18, 107-120.
6. Belyaev, Yu. K. & Volkova, L. Yu. (1993). Properties of non-parametric estimators of reliability in the presence of minimal failures. Vestnik Moskov. Univ. Ser. I Mat. Mekh. 5, 27-32, [in Russian].
7. Cheng, K. F. (1985). Tests for the equality of failure rates. Biometrika 72, 211-215.
8. David, H. A. & Moeschberger, M. (1978). Theory of competing risks. Griffin, New York.
9. Fleming, T. R. & Harrington, D. P. (1991). Counting processes and survival analysis. Wiley, New York.
10. Gail, M. (1975). A review and critique of some models used in competing risk analysis. Biometrics 31, 209-222.
11. Gill, R. D. (1980). Censoring and stochastic integrals. Mathematical Centre Tracts 124. Mathematisch Centrum, Amsterdam.
12. Gray, R. J. (1988). A class of K-sample tests for comparing the cumulative incidence of a competing risk. Ann. Statist. 16, 1141-1154.
13. Hoel, D. G. (1972). A representation of mortality data by competing risks. Biometrics 28, 475-488.
14. Kochar S. C. (1981). A new distribution-free test for the equality of two failure rates. Biometrika 68, 423-426.
15. LeCam, L. & Yang, G. L. (1990). Asymptotics in statistics. Some basic concepts. Springer-Verlag, New York.
16. Lehmann, E. L. (1986). Testing statistical hypotheses, 2nd edn. Wiley, New York.
17. Loève, M. (1977). Probability theory. Springer-Verlag, New York.
18. Nelson, W. (1969). Hazard plotting for incomplete failure data. J. Qual. Technol. 1, 27-52.
19. Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics 14, 945-965.
20. Yip, P. & Lam, K. F. (1992). A class of non-parametric tests for the equality of failure rates in a competing risks model. Comm. Statist. Theory Methods 21, 2541-2556.
21. Yip, P. & Lam, K. F. (1993). A multivariate non-parametric test for the equality of failure rates in a competing risks model. Comm. Statist. Theory Methods 22, 3199-3222.