Semiparametric analysis for recurrent event data with time-dependent covariates and informative censoring

Biometrics

Volumn 66, Issue 1, 2010, Pages 39-49

  Huang, C Y ^a   Qin, J ^a   Wang, M C ^b  

^a NATIONAL INSTITUTE OF ALLERGY AND INFECTIOUS DISEASES   (United States)

^b JOHNS HOPKINS BLOOMBERG SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Comparable recurrence times; Frailty; Pairwise pseudolikelihood; Proportional rate model

Indexed keywords

COMPARABLE RECURRENCE TIME; FRAILTY; PAIRWISE PSEUDOLIKELIHOOD; PROPORTIONAL RATE MODEL; PSEUDO-LIKELIHOOD; RATE MODELS; RECURRENCE TIME; RECURRENT EVENT DATUM; RECURRENT EVENT PROCESS; SEMIPARAMETRIC;

BIOMETRICS;

ACQUIRED IMMUNE DEFICIENCY SYNDROME; CENSUS; HOSPITAL SECTOR; MATHEMATICAL ANALYSIS; MODEL TEST; OBSERVATIONAL METHOD; PARAMETERIZATION; RECURRENCE INTERVAL; SAMPLE PREPARATION;

ALGORITHM; BIOMETRY; CHRONIC DISEASE; COMPUTER SIMULATION; HUMAN; INFORMATION RETRIEVAL; PROCEDURES; RECURRENT DISEASE; STATISTICAL ANALYSIS; STATISTICAL DISTRIBUTION; STATISTICAL MODEL;

ALGORITHMS; BIOMETRY; CHRONIC DISEASE; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; EPIDEMIOLOGIC METHODS; HUMANS; INFORMATION STORAGE AND RETRIEVAL; MODELS, STATISTICAL; RECURRENCE; STATISTICAL DISTRIBUTIONS;

EID: 77949689099     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2009.01266.x     Document Type: Article

References (31)

1. Andersen, E. B. (1970). Asymptotic properties of conditional maximum-likelihood estimators. Journal of the Royal Statistical Society, Series B 32, 283-301.
2. Andersen, P. K. and Gill, R. D. (1982). Cox's regression model for counting processes: A large sample study. Annals of Statistics 10, 1100-1120.
3. Chang, S.-H. and Wang, M.-C. (1999). Conditional regression analysis for recurrence time data. Journal of the American Statistical Association 94, 1221-1230.
4. Farrington C. P. and Whitaker, H. J. (2006). Semiparametric analysis of case series data. Journal of the Royal Statistical Society, Series C 55, 553-594.
5. Ghosh, D. (2004). Accelerated rates regression models for recurrent failure data. Lifetime Data Analysis 10, 247-261.
6. Ghosh, D. and Lin, D. Y. (2003). Semiparametric analysis of recurrent events in the presence of dependent censoring. Biometrics 59, 877-885.
7. Hoeffding, W. (1948). A class of statistics with asymptotically normal distribution. Annals of Mathematical Statististics 19, 293-325.
8. 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.
9. Huang, C.-Y. and Wang, M.-C. (2004). Joint modeling and estimation for recurrent event processes and failure time data. Journal of the American Statistical Association 99, 1153-1165.
10. Huang, C.-Y., Wang, M.-C., and Zhang, Y. (2006). Analysing panel count data with informative observation times. Biometrika 93, 763-775.
11. Huang, X. and Liu, L. (2007). A joint frailty model for survival time and gap times between recurrent events. Biometrics 63, 389-397.
12. Kalbfleisch, J. D. (1978). Likelihood methods and nonparametric tests. Journal of the American Statistical Association 73, 167-170.
13. Lancaster, T. and Intrator, O. (1998). Panel data with survival: Hospitalization of HIV-positive patients. Journal of the American Statistical Association 93, 46-53.
14. Lawless, J. F. and Nadeau, C. (1995). Some simple robust methods for the analysis of recurrent events. Technometrics 37, 158-168.
15. Liang, K.-Y. and Qin, J. (2000). Regression analysis under nonstandard situations: A pairwise pseudolikelihood approach. Journal of the Royal Statistical Society, Series B 62, 773-786.
16. Lin, D. Y., Wei, L. J., Yang, I., and Ying, Z. (2000). Semiparametric regression for the mean and rate functions of recurrent events. Journal of the Royal Statistical Society, Series B 62, 711-730.
17. Liu, L.,Wolfe, R. A., and Huang, X. L. (2004). Shared frailty models for recurrent events and a terminal event. Biometrics 60, 747-756.
18. 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.
19. Prentice, R. L., Williams, B. J., and Peterson, A. V. (1981). On the regression analysis of multivariate failure time data. Biometrika 68, 373-379.
20. Rondeau, V., Mathoulin-Pelissier, S., Jacqmin-Gadda, H., Brouste, V., and Soubeyran, P. (2007). Joint frailty models for recurring events and death using maximum penalized likelihood estimation: Application on cancer events. Biostatistics 8, 708-721.
21. Schaubel, D. E., Zeng, D., and Cai, J. (2006). A semiparametric additive rates model for recurrent event data. Lifetime Data Analysis 12, 389-406.
22. Schoenfeld, D. (1982). Partial residuals for the proportional hazards regression model. Biometrika 69, 239-241.
23. Serfling, R. J. (1980). Approximation Theorems of Mathematical Statistics. New York: Wiley.
24. Sun, J., Tong, X., and He, X. (2007). Regression analysis of panel count data with dependent observation times. Biometrics 63, 1053-1059.
25. Sun, L. and Su, B. (2008). A class of accelerated means regression models for recurrent event data. Lifetime Data Analysis 14, 357-375.
26. van Der Vaart, A. W. and Wellner, J. A. (1996). Weak Convergence and Empirical Processes. New York: Springer-Verlag.
27. Vlahov, D., Anthony, J. C., Muñoz, A., Margolick, J., Nelson, K. E., Celentano, D. D., Solomon, L., and Polk, B. F. (1991). The ALIVE study, a longitudinal study of HIV-1 infection in intravenous drug users: Description of methods and characteristics of participants. The Journal of Drug Issues 21, 759-776.
28. Wang, M.-C., Jewell, N. P., and Tsai, W.-Y. (1986). Asymptotic properties of the product limit estimate under random truncation. Annals of Statistics 14, 1597-1650.
29. Wang, M.-C., Qin, J., and Chiang, C.-T. (2001). Analyzing recurrent event data with informative censoring. Journal of the American Statistical Association 96, 1057-1065.
30. Ye, Y., Kalbfleisch, J. D., and Schaubel, E. S. (2007). Semiparametric analysis of correlated recurrent and terminal events. Biometrics 63, 78-87.
31. Zeng, D. and Lin, D. Y. (2006). Efficient estimation of semiparametric transformation models for counting processes. Biometrika 93, 627-640.