Semiparametric estimation of proportional mean residual life model in presence of censoring

Biometrics

Volumn 61, Issue 1, 2005, Pages 170-178

  Chen, Y Q ^a   Jewell, N P ^b   Lei, X ^b   Cheng, S C ^c  

^a Fred Hutchinson Cancer Research Center   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Clinical trial; Counting process; Inverse probability of censoring weighting; Life expectancy; Residual life; Semiparametric model

Indexed keywords

INVERSE PROBLEMS; REGRESSION ANALYSIS;

CLINICAL TRIAL; COUNTING PROCESS; INVERSE PROBABILITY OF CENSORING WEIGHTING; LIFE EXPECTANCIES; LIFE MODELS; MEAN RESIDUAL LIFE FUNCTIONS; PROPORTIONAL MEAN RESIDUAL LIFE; RESIDUAL LIFE; SEMI PARAMETRIC ESTIMATION; SEMI-PARAMETRIC MODELING;

CHEMOTHERAPY;

CANCER; REGRESSION ANALYSIS;

ARTICLE; CANCER CHEMOTHERAPY; CANCER RADIOTHERAPY; CLINICAL TRIAL; HUMAN; LIFE; LUNG CANCER; METHODOLOGY; POSTOPERATIVE CARE; SIMULATION; STATISTICAL MODEL; STATISTICAL PARAMETERS;

EID: 15044359663     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.2005.030224.x     Document Type: Article

References (25)

1. Chiang, C. L. (1960). A stochastic study of the life table and its applications: I. Probability distributions of the biometric functions. Biometrics 16, 618-635.
2. Cox, D. R. (1962). Renewal Theory. London: Spottiswoode Ballantyne.
3. Cox, D. R. (1972). Regression models and life-tables (with discussion). Journal of Royal Statistical Society, Series B 34, 187-220.
4. Dasu, T. (1991). The proportional mean residual life model. Ph.D. Thesis, University of Rochester.
5. Fleming, T. R. and Harrington, D. P. (1991). Counting Processes and Survival Analysis. New York: John Wiley.
6. Gill, R. D. and Schumacher, M. (1987). A simple test of the proportional hazards assumption. Biometrika 74, 289-300.
7. Guess, F. and Proschan, F. (1988). Mean residual life: Theory and application. In Handbook of Statistics: Quality Control and Reliability, Volume 7, P. R. Krishnaiah and C. R. Rao (eds), 215-224. Amsterdam: North-Holland.
8. Gupta, R. C. and Kirmani, S. (1998). On the proportional mean residual life model and its implications. Statistics 32, 175-187.
9. Hall, W. J. and Wellner, J. A. (1981). Mean residual life. In Statistics and Related Topics, M. Csörgo, D. A. Dawson, and V. N. K. Rao (eds), 169-184. Amsterdam: North-Holland.
10. Heitjan, D. F. and Rubin, D. B. (1991). Ignorability and coarse data. Annals of Statistics 19, 2244-2253.
11. Horvitz, D. G. and Thompson, D. J. (1952). A generalization of sampling without replacement from a finite universe. Journal of the American Statistical Association 47, 663-685.
12. Hu, F. and Kalbfleisch, J. D. (2000). The estimating function bootstrap (with discussion). Canadian Journal of Statistics 28, 449-499.
13. Jacobson, M. and Keiding, N. (1995). Coarsening at random in general sample spaces and random censoring in continuous time. Annals of Statistics 23, 774-786.
14. Kalbfleisch, J. D. and Prentice, R. L. (1980). The Statistical Analysis of Failure Time Data. New York; Wiley.
15. Kalbfleisch, J. D. and Prentice, R. L. (1981). Estimation of the average hazard ratio. Biometrika 68, 105-112.
16. Lad, T., Rubinstein, L., and Sadeghi, A. (1988). The benefit of adjuvant treatment for resected locally advanced non-small-cell lung cancer. Journal of Clinical Oncology 6, 9-17.
17. Lin, D. Y. (1991). Goodness of fit for the Cox regression model based on a class of parameter estimators. Journal of the American Statistical Association 86, 725-728.
18. Maguluri, G. and Zhang, C.-H. (1994). Estimation in the mean residual life regression model. Journal of the Royal Statistical Society, Series B 56, 477-489.
19. Oakes, D. and Dasu, T. (1990). A note on residual life. Biometrika 77, 409-410.
20. Piantadosi, S. (1997). Clinical Trials: A Methodologic Perspective. New York: John Wiley.
21. Robins, J. M. (1993). Information recovery and bias adjustment in proportional hazards regression analysis of randomized trials using surrogate markers. In Proceedings of the Biopharmaceutical Section, American Statistical Association, 24-33. Alexandria, Virginia.
22. Robins, J. M. and Rotnitzky, A. (1992). Recovery of information and adjustment for dependent censoring using surrogate markers. In AIDS Epidemiology, Methodological Issues, N. P. Jewell, K. Dietz, and V. Farewell (eds), 297-331. Boston: Birkhäuser.
23. Tarone, R. E. and Ware, J. (1977). On distribution-free tests for equality of survival distributions. Biometrika 64, 156-160.
24. van der Laan, M. and Robins, J. M. (2003). Unified Methods for Censored Longitudinal Data and Causality. New York: Springer-Verlag.
25. Xu, R. and Harrington, D. P. (2001). A semiparametric estimate of treatment effects with censored data. Biometrics 57, 875-885.