Conditional studentized survival tests for randomly censored models

Scandinavian Journal of Statistics

Volumn 28, Issue 2, 2001, Pages 283-293

  Janssen, Arnold ^a   Mayer, Claus Dieter ^b  

^a HEINRICH HEINE UNIVERSITY   (Germany)

^b NONE

Author keywords

Central limit theorem for permutation statistics; Conditional tests; Log rank test; Permutation tests; Random censored data; Survival tests; Two sample tests

Indexed keywords

EID: 0035531250     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9469.00237     Document Type: Article

References (22)

1. Andersen, P. K., Borgan, O., Gill, R. D. & Keiding, N. (1982). Linear nonparametric tests for comparison of counting processes, with applications to censored survival data. Internat. Statist. Rev. 50, 219-258.
2. Andersen, P. K., Borgan, O., Gill, R. D. & Keiding, N. (1993). Statistical models based on counting processes. Springer-Verlag, New York.
3. Billingsley, P. (1968). Convergence of probability measures. Wiley, New York.
4. Einmahl, U. & Mason, D. M. (1992). Approximations to permutation and exchangeable processes. J. Theoret. Probab. 5, 101-126.
5. Fleming, T. R. & Harrington, D. P. (1991). Counting processes and survival analysis. Wiley, New York.
6. Gill, R. D. (1980). Censoring and stochastic integrals. Mathematical Centre Tracts 124. Mathematisch Centrum, Amsterdam.
7. Hájek, J. Šidák, Z. (1967). Theory of rank tests. Academic Press, New York.
8. Heller, G. & Venkatraman, E. S. (1996). Resampling procedures to compare two survival distributions in the presence of right-censored data. Biometrics 52, 1204-1213.
9. Hušková, M. (1997) Limit theorems for rank statistics. Statist. Probab. Lett. 32, 45-55.
10. Jacod, J. & Shiryaev, A. N. (1987). Limit theorems for stochastic processes, Springer-Verlag, Berlin.
11. Janssen, A. (1991). Conditional rank tests for randomly censored data. Ann. Statist. 19, 1434-1456.
12. Janssen, A. (1994). On local odds and hazard rate models in survival analysis. Statist. Probab. Lett. 20, 355-365.
13. Janssen, A. (1997). Studentized permutation tests for non i.i.d hypotheses and the generalized Behrens-Fisher problem. Statist. Probab. Lett. 36, 9-21.
14. Janssen, A. & Mclbrodt, H. (1993). Rényi type goodness of fit tests with adjusted principal direction of alternatives. Scand. J. Statist. 20, 177-194.
15. Janssen, A. & Neuhaus, G. (1997). Two-sample rank tests for censored data with non-predictable weights. J. Statist. Plann. Inference 60, 45-59.
16. Mason, D. M. & Newton, M. A. (1992). A rank statistics approach to the consistency of a general bootstrap. Ann. Statist. 20, 1611-1624.
17. Moser, M. (1994). Completeness of time-ordered indicators in censored data models. Statist. Probab. Lett. 21, 163-166.
18. Neuhaus, G. (1993). Conditional rank tests for the two-sample problem under random censorship. Ann. Statist. 21, 1760-1779.
19. Neuhaus, G. (1994). Conditional rank tests for the two-sample problem under random censorship: treatment of ties. In (eds J. Perez et al. Vilaplana) Recent advances in statistics and probability. Proceedings of the 4th International Meeting of Statistics in the Basque Country, San Sebastian, Spain, 4-7 August, 127-138. VSP, Utrecht.
20. Præstgaard, J. T. (1995). Permutation and bootstrap Kolmogorov-Smirnov tests for the equality of two distributions. Scand. J. Statist. 22, 305-322.
21. Shiryayev, A. N. (1984). Probability, Springer-Verlag, New York.
22. Shorack, G. R. & Wellner, J. A. (1986). Empirical processes with applications to statistics. Wiley, New York.