Generalized log-rank tests for interval-censored failure time data

Scandinavian Journal of Statistics

Volumn 32, Issue 1, 2005, Pages 49-57

  Sun, Jianguo ^a   Zhao, Qiang ^a   Zhao, Xingqiu ^b  

^a UNIVERSITY OF MISSOURI   (United States)

^b MCMASTER UNIVERSITY   (Canada)

Author keywords

Asymptotic distribution; Clinical trials; Interval censoring; Log rank test; Survival comparison

Indexed keywords

EID: 14644420151     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-9469.2005.00414.x     Document Type: Article

References (18)

1. Fleming, T. R. & Harrington, D. P. (1991). Counting process and survival analysis. John Wiley, New York.
2. Finkelstein, D. M. (1986). A proportional hazards model for interval-censored failure time data. Biometrics 42, 845-854.
3. Gentleman, R. & Geyer, C. J. (1994). Maximum likelihood for interval censored data: Consistency and computation. Biometrika 81, 618-623.
4. Groeneboom, P. (1996). Lectures on inverse problems. In Lecture Notes in Mathematics, 1648. Springer-Verlag, Berlin.
5. Groeneboom, P. & Wellner, J. A. (1992). Information bounds and non-parametric maximum likelihood estimation. DMV Seminar, Band 19, Birkhauser, New York.
6. Huang, J. & Wellner, J. A. (1995). Asymptotic normality of the NPMLE of linear functional for interval censored data, case I. Statist. Neerlandica 49, 153-163.
7. Kalbfleisch, J. D. & Prentice, R. L. (2002). The statistical analysis of failure time data, 2nd edn. John Wiley, New York.
8. Lagakos, S. W. & Louis, T. A. (1988). Use of tumor lethality to interpret tumorgenicity experiments lacking cause-of-death data. Appi Statist. 37, 169-179.
9. Li, G. (2003). Non-parametric likelihood ratio goodness-of-fit tests for survival data. J. Multivariate Anal. 86, 166-182.
10. Li, L., Watkins, T. & Yu, Q. (1997). An EM algorithm for estimating survival functions with interval-censored data. Scand. J. Statist. 24, 531-542.
11. Pan, W. (2000). A two-sample test with interval censored data via multiple imputation. Statist. Med. 19, 1-11.
12. Peto, R. & Peto, J. (1972). Asymptotically efficient rank invariant test procedures. J. Roy. Statist. Soc. Ser. A 135, 185-207.
13. Rabinowitz, D., Tsiatis, A. & Aragon, J. (1995). Regression with interval-censored data. Biometrika 82, 501-513.
14. Sun, J. (1996). A non-parametric test for interval-censored failure time data with application to AIDS studies. Statist. Med. 15, 1387-1395.
15. Sun, J. (1998). Interval censoring. Encyclopedia of Biostatistics. 2090-2095. John Wiley, New York.
16. Sun, J. (1999). A non-parametric test for current status data with unequal censoring. J. Roy. Statist. Soc. Ser. B 61, 243-250.
17. Turnbull, B. W. (1976). The empirical distribution with arbitrarily grouped censored and truncated data. J. Roy. Statist. Soc. Ser. B 38, 290-295.
18. van der Vaart, A. W. & Wellner, J. A. (1996). Weak convergence and empirical processes. Springer, New York.