Estimation of integrated transition hazards and stage occupation probabilities for non-markov systems under dependent censoring

Biometrics

Volumn 58, Issue 4, 2002, Pages 792-802

  Datta, Somnath ^a   Satten, Glen A ^b  

^a UNIVERSITY OF GEORGIA   (United States)

^b CENTERS FOR DISEASE CONTROL AND PREVENTION   (United States)

Author keywords

Aalen's linear hazard model; Aalen Johansen estimator; Bone marrow transplant data; Graftversus host disease; Informative censoring; Multistage model; Multivariate survival analysis; Nonparametric estimation

Indexed keywords

BONE; EMPLOYMENT; HAZARDS; INVERSE PROBLEMS; MATRIX ALGEBRA; MULTIVARIANT ANALYSIS;

AALEN LINEAR HAZARD MODEL; AALEN-JOHANSEN ESTIMATOR; BONE MARROW TRANSPLANT; BONE MARROW TRANSPLANT DATA; GRAFT-VERSUS-HOST DISEASE; HAZARD MODELING; INFORMATIVE CENSORING; MULTI STAGE MODELING; MULTIVARIATE SURVIVAL ANALYSIS; NON-PARAMETRIC ESTIMATIONS;

MARKOV PROCESSES;

BIOMETRY; MULTIVARIATE ANALYSIS;

ARTICLE; BONE MARROW TRANSPLANTATION; COVARIANCE; DATA ANALYSIS; GRAFT VERSUS HOST REACTION; HAZARD; LINEAR REGRESSION ANALYSIS; PROBABILITY; STATISTICAL ANALYSIS; STATISTICAL MODEL; SURVIVAL;

EID: 0036969214     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.2002.00792.x     Document Type: Article

References (15)

1. Aalen, O. O. (1980). A model for nonparametric regression analysis of counting processes. In Lecture Notes on Mathematical Statistics and Probability, Volume 2, W. Klonecki, A. Kozek, and J. Rosiskipp (eds), 1-25. New York: Springer-Verlag.
2. Aalen, O. O. (1989). A linear regression model for the analysis of lifetimes. Statistics in Medicine 8, 907-925.
3. Aalen, O. O. and Johansen, S. (1978). An empirical transition matrix for nonhomogeneous Markov chains based on censored observations. Scandinavian Journal of Statistics 5, 141-150.
4. Andersen, P. K., Borgan, Ø., Gill, R. D., and Keiding, N. (1993). Statistical Models Based on Counting Processes. New York: Springer-Verlag.
5. Datta, S. and Satten, G. A. (2000). Estimating future stage entry and occupation probabilities in a multistage model based on randomly right-censored data. Statistics and Probability Letters 50, 89-95.
6. Datta, S. and Satten, G. A. (2001). Validity of the Aalen-Johansen estimators of stage occupation probabilities and Nelson-Aalen estimators of integrated transition hazards for non-Markov models. Statistics and Probability Letters 55, 403-411.
7. Datta, S., Satten, G. A., and Datta, S. (2000). Nonparametric estimation for the three-stage irreversible illness-death model. Biometrics 56, 841-847.
8. Fleming, T. R. (1978a). Nonparametric estimation for nonhomogeneous Markov processes in the problem of competing risks estimation. Annals of Statistics 6, 1057-1070.
9. Fleming, T. R. (1978b). Asymptotic distribution results in competing risks estimation. Annals of Statistics 6, 1071-1079.
10. Fleming, T. R. and Harrington, D. P. (1991). Counting Processes and Survival Analysis. New York: Wiley-Interscience.
11. Klein, J. P. and Moeschberger, M. L. (1997). Survival Analysis: Techniques for Censored and Truncated Data. New York: Springer.
12. Pepe, M. S. and Cai, J. (1993). Some graphical displays and marginal regression analyses for recurrent failure times and time dependent covariates. Journal of the American Statistical Association 88, 811-820.
13. Robins, J. M. (1993). Information recovery and bias adjustment in proportional hazards regression analysis of randomized trials using surrogate markers. Proceedings of the American Statistical Association - Biopharmaceutical Section, 24-33.
14. Satten, G. A. and Datta, S. (2002). Marginal estimation for multistage models: Waiting time distributions and competing risks analyses. Statistics in Medicine 2, 13-19.
15. Satten, G. A., Datta, S., and Robins, J. (2001). Estimating the marginal survival function in the presence of time dependent covariates. Statistics and Probability Letters 54, 397-403.