Censored linear regression for case-cohort studies

Biometrika

Volumn 93, Issue 4, 2006, Pages 747-762

  Nan, Bin ^a   Yu, Menggang ^b   Kalbfleisch, John D ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b INDIANA UNIVERSITY   (United States)

Author keywords

Case cohort design; Censored linear regression; Counting process; Martingale; Rank statistic

Indexed keywords

EID: 33749336041     PISSN: 00063444     EISSN: 14643510     Source Type: Journal    
DOI: 10.1093/biomet/93.4.747     Document Type: Article

References (19)

1. BORGAN, Ø., LANGHOLZ, B., SAMUELSEN, S. O., GOLDSTEIN, L. & POGODA, J. (2000). Exposure stratified case-cohort designs. Lifetime Data Anal. 6, 39-58.
2. CHEN, K. & LO, S.-H. (1999). Case-cohort and case-control analysis with Cox's model. Biometrika 86, 755-64.
3. D'ANGIO, G. J., BRESLOW, N. E., BECKWITH, J. B., EVANS, A., BAUM, H., DELORIMIER, A., FERNBACH., D., HRABOVSKY, E., JONES, B., KELALIS, P. et al. (1989). Treatment of Wilms tumor: results of the third National Wilms Tumor Study. Cancer 64, 349-60.
4. GREEN, D. M., BRESLOW, N. E., BECKWITH, J. B., FINKLESTEIN, J. Z., GRUNDY, P. G., THOMAS, P. R. M., KIM, T., SHOCHAT, S., HAASE, G. M., RITCHEY, M. L., KELALIS, P. P. & D'ANGIO, G. J. (1998). Comparison between single-dose and divided-dose administration of dactinomycin and doxorubicin for patients with Wilms' tumor: A report from the National Wilms' Tumor Study Group. J. Clin. Oncol. 16, 237-45.
5. HUANG, Y. (2002). Calibration regression of censored lifetime medical cost. J. Am. Statist. Assoc. 97, 318-27.
6. JIN, Z., LIN, D. Y., WEI, L. J. & YING, Z. (2003). Rank-based inference for the accelerated failure time model. Biometrika 90, 341-53.
7. KALBFLEISCH, J. D. & LAWLESS, J. F. (1988). Likelihood analysis of multi-state models for disease incidence and mortality. Statist. Med. 7, 149-60.
8. KALBFLEISCH, J. D. & PRENTICE, R. L. (2002). The Statistical Analysis of Failure Time Data, 2nd ed. New York: Wiley.
9. KULICH, M. & LIN, D. Y. (2000). Additive hazards regression for case-cohort studies. Biometrika 87, 73-87.
10. LIN, D. Y., WEI, L. J. & YING, Z. (1998). Accelerated failure time models for counting processes. Biometrika 85, 605-18.
11. NAN, B. (2004). Efficient estimation for case-cohort studies. Can. J. Statist. 32, 403-19.
12. NAN, B., EMOND, M. & WELLNER, J. A. (2004). Information bounds for Cox regression models with missing data. Ann. Statist. 32, 723-53.
13. PRENTICE, R. L. (1986). A case-cohort design for epidemiologic cohort studies and disease prevention trials. Biometrika 73, 1-11.
14. PRESS, W. H., TEUKOLSKY, S. A., VETTERLING, W. T. & FLANNERY, B. P. (2002). Numerical Recipes in C. Cambridge University Press.
15. RITOV, Y. (1990). Estimation in a linear regression model with censored data. Ann. Statist. 18, 303-28.
16. SELF, S. G. & PRENTICE, R. L. (1988). Asymptotic distribution theory and efficiency results for case-cohort studies. Ann. Statist. 16, 64-81.
17. TSIATIS, A. A. (1990). Estimating regression parameters using linear rank tests for censored data. Ann. Statist. 18, 354-72.
18. VAN DER VAART, A. W. & WELLNER, J. A. (1996). Weak Convergence and Empirical Processes. New York: Springer-Verlag.
19. YING, Z. (1993). A large sample study of rank estimation for censored regression data. Ann. Statist. 21, 76-99.