Regression survival analysis with an assumed copula for dependent censoring: A sensitivity analysis approach

Biometrics

Volumn 64, Issue 4, 2008, Pages 1090-1099

  Huang, Xuelin ^a   Zhang, Nan ^b  

^a UNIVERSITY OF TEXAS MD ANDERSON CANCER CENTER   (United States)

^b Rice University   (United States)

Author keywords

Competing risks; Copula; Dependent censoring; Self consistent estimator; Sensitivity analysis; Survival analysis

Indexed keywords

BIOINFORMATICS; PARAMETER ESTIMATION; PATIENT TREATMENT; REGRESSION ANALYSIS; RISK ASSESSMENT; RISK PERCEPTION; SENSITIVITY ANALYSIS;

ANALYSIS APPROACH; CLINICAL STUDY; COMPETING RISKS; CONSISTENT ESTIMATORS; COPULA; DEPENDENT CENSORING; INDEPENDENT CENSORING; PARAMETERS ESTIMATES; SELF-CONSISTENT ESTIMATOR; SURVIVAL ANALYSIS;

ITERATIVE METHODS;

ACQUIRED IMMUNE DEFICIENCY SYNDROME; ALGORITHM; DISEASE TREATMENT; HAZARD ASSESSMENT; LITERATURE REVIEW; REGRESSION ANALYSIS; SENSITIVITY ANALYSIS; SURVIVAL;

ACQUIRED IMMUNE DEFICIENCY SYNDROME; ARTICLE; MATHEMATICAL MODEL; REGRESSION ANALYSIS; RISK ASSESSMENT; SENSITIVITY ANALYSIS; SURVIVAL RATE; VALIDATION STUDY;

EID: 56049116481     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2008.00986.x     Document Type: Article

References (32)

1. Breslow, N. (1972). Discussion of Dr. Cox's paper "Regression models and life tables Journal of the Royal Statistical Society, Series B 34, 216 217.
2. Breslow, N. (1974). Covariance analysis of censored survival data. Biometrics 30, 89 99.
3. Clayton, D. G. (1978). A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika 65, 141 151.
4. Cox, D. R. (1972). Regression models and life tables (with discussion). Journal of the Royal Statistical Society, Series B 34, 187 220.
5. Cox, D. R. (1975). Partial likelihood. Biometrika 62, 269 276.
6. Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977). Maximum likelihood estimation for incomplete data via the EM algorithms (with discussion). Journal of the Royal Statistical Society, Series B 39, 1 38.
7. Efron, B. (1967). The two sample problem with censored data. In Proceedings of the 5th Berkeley Symposium (Volume 4 831 853. Berkeley : University of California Press.
8. Efron, B. (1979). Bootstrap methods: Another look at the jackknife. The Annals of Statistics 7, 1 26.
9. Frank, M. J. (1979). On the simultaneous association of F(x,y) and x+y-F(x,y). Aequationes Mathematics 21, 37 38.
10. Gumbel, E. J. (1961). Distributions des valeurs extr mes en plusiers dimensions. Publications Institute Statistical University Paris 9, 171 173.
11. Hammer, S. M., Katzenstein, D. A., Hughes, M. D., Gundacker, H., Schooley, R. T., Haubrich, R. H., Henry, W. K., Lederman, M. M., Phair, J. P., Niu, M., Hirsch, M. S., Merigan, T. C. (1996). A trial comparing nucleoside monotherapy with combination therapy in HIV-infected adults with CD4 cell counts from 200 to 500 per cubic millimeter. New England Journal of Medicine 335, 1081 1090.
12. Heckman, J. J. and Honore, B. E. (1989). The identifiability of the competing risks model. Biometrika 76, 325 330.
13. Hougaard, P. (1986). A class of multivariate failure time distributions. Biometrika 73, 671 678.
14. Huang, X. and Wolfe, R. A. (2002). A frailty model for informative censoring. Biometrics 58, 510 520.
15. Kaplan, E. L. and Meier, P. (1958). Nonparametric estimation from incomplete observations. Journal of the American Statistical Association 53, 457 481.
16. Kiefer, J. and Wolfowitz, J. (1956). Consistency of the maximum likelihood estimator in the presence of infinitely many incidental parameters. The Annals of Mathematical Statistics 27, 887 906.
17. Marshall, A. W. and Olkin, I. (1988). Families of multivariate distributions. Journal of the American Statistical Association 83, 834 841.
18. Nelsen, R. B. (1986). Properties of a one-parameter family of bivariate distributions with specified marginals. Communications in Statistics, Part A: Theory and Methods 15, 3277 3285.
19. Nelsen, R. B. (1999). An Introduction to Copulas. New York : Springer.
20. Park, Y., Tian, L., and Wei, L. J. (2006). One- and two-sample nonparametric inference procedures in the presence of a mixture of independent and dependent censoring. Biostatistics 7, 252 267.
21. Peng, L. and Fine, J. P. (2007). Regression modeling of semicompeting risks data. Biometrics 63, 96 108.
22. Scharfstein, D. O. and Robins, J. M. (2002). Estimation of the failure time distribution in the presence of informative censoring. Biometrika 89, 617 634.
23. Scharfstein, D. O., Robins, J. M., Eddings, W., and Rotnitzky, A. (2001). Inference in randomized studies with informative censoring and discrete time-to-event endpoints. Biometrics 57, 404 413.
24. Siannis, F. (2004). Applications of a parametric model for informative censoring. Biometrics 60, 704 714.
25. Siannis, F., Copas, J., and Lu, G. (2005). Sensitivity analysis for informative censoring in parametric survival models. Biostatistics 6, 77 91.
26. Slud, E. (1992). Nonparametric identifiability of marginal survival distributions in the presence of dependent competing risks and a prognostic covariate. In Survival Analysis: State of the Art, J. P. Klein and P. K. Goel (eds 355 368. Amsterdam : Kluwer Academic Publishers.
27. Troxel, A. B., Ma, G., and Heitjan, D. F. (2004). An index of local sensitivity to nonignorability. Statistica Sinica 14, 1221 1237.
28. Tsai, W. Y. and Crowley, J. (1985). A large sample study of the generalized maximum likelihood estimators from incomplete data via self-consistency. The Annals of Statistics 13, 1317 1334.
29. Tsiatis, A. (1975). A nonidentifiability aspect of the problem of competing risks. Proceedings of the National Academy of Science, U.S.A. 72, 20 22.
30. Zhang, J. and Heitjan, D. F. (2006). A simple local sensitivity analysis tool for nonignorable coarsening: Application to dependent censoring. Biometrics 62, 1260 1268.
31. Zheng, M. and Klein, J. P. (1994). A self-consistent estimator of marginal survival functions based on dependent competing risk data and an assumed copula. Communications in Statistics, Part A - -Theory and Methods 23, 2299 2311.
32. Zheng, M. and Klein, J. P. (1995). Estimates of marginal survival for dependent competing risks based on an assumed copula. Biometrika 82, 127 138.