Semiparametric regression analysis for doubly censored data

Biometrika

Volumn 91, Issue 2, 2004, Pages 277-290

  Cai, T ^a   Cheng, S ^b  

^a HARVARD UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Double censoring; Model checking; Semiparametric transformation model

Indexed keywords

EID: 24944566026     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/91.2.277     Document Type: Article

References (29)

1. BENNETT, S. (1983). Analysis of survival data by the proportional odds model, Statist. Med. 2, 273-7.
2. BICKEL, P. J. & DOKSUM, K. A. (1981). An analysis of transformations revisited. J. Am. Statist. Assoc. 76, 296-311.
3. Box, G. E. P. & Cox, D. R. (1982). An analysis of transformations revisited, rebutted. J. Am. Statist. Assoc. 77, 209-10.
4. CAI, T., WEI, L. J. & WILCOX, M. (2000). Semiparametric regression analysis for clustered failure time data. Biometrika 87, 867-78.
5. CHANG, M. N. (1990). Weak convergence of a self-consistent estimator of the survival function with doubly censored data. Ann. Statist. 18, 391-404.
6. CHEN, K., JIN, Z. & YING, Z. (2002). Semiparametric analysis of transformation models with censored data. Biometrika 89, 659-68.
7. CHENG, S. C., WEI, L. J. & YING, Z. (1995). Analysis of transformation models with censored data. Biometrika 82, 835-45.
8. CHENG, S. C., WEI, L. J. & YING, Z. (1997). Prediction of survival probabilities with Semiparametric transformation models. J. Am. Statist. Assoc. 92, 227-35.
9. CLAYTON, D. & CUZICK, J. (1985). Multivariate generalizations of the proportional hazards models (with Discussion). J. R. Statist. Soc. A 148, 82-117.
10. Cox, D. (1972). Regression models and life tables (with Discussion). J. R. Statist. Soc. B 34, 187-220.
11. GEHAN, E. A. (1965). A generalized two-sample Wilcoxon test for doubly censored data. Biometrika 52, 650-3.
12. GESKUS, R. B. (2001). Methods for estimating the AIDS incubation time distribution when data of sero-conversion is censored. Statist. Med. 20, 795-812.
13. GRAF, E., SCHMOOR, C., SAUERBREI, W. & SCHUMACHER, M. (1999). Assessment and comparison of prognostic classification schemes for survival data. Statist. Med. 18, 2529-45.
14. Gu, M. G. & ZHANG, C. H. (1993). Asymptotic properties of self-consistent estimators based on doubly censored data. Ann. Statist. 21, 611-24.
15. HUGHES, M. D. (2000). Analysis and design issues for studies using censored biomarker measurements with an example of viral load measurements in HIV clinical trials. Statist. Med. 19, 3171-91.
16. KIM, M. Y., DE GRUTTOLA, V. G. & LAGAKOS, S. W. (1993). Analyzing doubly censored data with covariates, with application to AIDS. Biometrics 49, 13-22.
17. MANTEL, N. (1967). Ranking procedures for arbitrarily restricted observation. Biometrics 23, 65-78.
18. MURPHY, S. A., ROSSINI, A. J. & VAN DER VAART, A. W. (1997). Maximum likelihood estimation in the proportional odds model. J. Am. Statist. Assoc. 92, 968-76.
19. NEWEY, W. & MCFADDEN, D. (1994). Large sample estimation and hypothesis testing. In Handbook of Econometrics, Ed. D. McFadden and R. Engler, volume IV, pp. 2113-245. Amsterdam: North Holland.
20. PARZEN, M. I., WEI, L. J. & YING, Z. (1994). A resampling method based on pivotal estimating functions. Biometrika 81, 341-50.
21. POLLARD, D. (1990). Empirical Processes; Theory and Applications. Hayward, CA: Institute of Mathematical Statistics.
22. REN, J.-.J. & Gu, M. (1997). Regression M-estimators with doubly censored data. Ann. Statist. 25, 2638-64.
23. SHORACK, G. R. & WELLNER, J. A. (1986). Empirical Processes with Applications to Statistics. New York: Wiley.
24. SUN, J. (1995). Empirical estimation of a distribution function with truncated and doubly interval-censored data and its application to AIDS studies. Biometrics 51, 1096-104.
25. TSAI, W.-Y. & CROWLEY, J. (1985). A large sample study of generalized maximum likelihood estimators from incomplete data via self-consistency. Ann. Statist. 13, 1317-34. Correction (1990), 18, 470.
26. TURNBULL, B. W. (1974). Nonparametric estimation of a survivorship function with doubly censored data. J. Am. Statist. Assoc. 69, 169-73.
27. Xu, R. & HARRINGTON, D. P. (2001). A semiparametric estimate of treatment effects with censored data. Biometrics 57, 875-85.
28. YANG, S. & PRENTICE, R. (1999). Semiparametric inference in the proportional odds regression model. J. Am. Statist. Assoc. 94, 125-36.
29. ZHANG, C.-H. & Li, X. (1996). Linear regression with doubly censored data. Ann. Statist. 24, 2720-43.