Semiparametric analysis of correlated recurrent and terminal events

Biometrics

Volumn 63, Issue 1, 2007, Pages 78-87

  Ye, Yining ^a   Kalbfleisch, John D ^a   Schaubel, Douglas E ^a  

^a UNIVERSITY OF MICHIGAN SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Frailty; Proportional hazard model; Rate function; Recurrent event; Survival analysis

Indexed keywords

HAZARDS;

CLINICAL STUDY; FRAILTY; OBSERVATIONAL STUDY; PROPORTIONAL HAZARD MODELS; RATE FUNCTIONS; RECURRENT EVENT DATUM; RECURRENT EVENT PROCESS; RECURRENT EVENTS; SEMIPARAMETRIC; SURVIVAL ANALYSIS;

HOSPITALS;

ANALYTICAL METHOD; ESTIMATION METHOD; METHODOLOGY; MODELING; POISSON RATIO; REGRESSION ANALYSIS;

ARTICLE; CORRELATION ANALYSIS; HOSPITALIZATION; PERITONEAL DIALYSIS; POISSON DISTRIBUTION; PROPORTIONAL HAZARDS MODEL; STATISTICAL ANALYSIS; STATISTICAL PARAMETERS; SURVIVAL;

EID: 34247234507     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2006.00677.x     Document Type: Article

References (20)

1. Andersen, P. K., Borgan, O., Gill, R. D., and Keiding, N. (1993). Statistical Models Based on Counting Processes. New York: Springer-Verlag.
2. Andersen, P. K., Klein, J., Knudsen, K., and Palacios, R. (1997). Estimation of variance in Cox's regression model with shared gamma frailties. Biometrics 53, 1475-1484.
3. Canada-U.S.A. Peritoneal Dialysis Study Group. (1996). Adequacy of dialysis and nutrition in continuous peritoneal dialysis: Correlation with clinical outcomes. Journal of the American Society of Nephrology 7, 198-207.
4. Cook, R. J. and Lawless, J. F. (1997). Marginal analysis of recurrent events and a terminating event. Statistics in Medicine 16, 911-924.
5. Cook, R. J. and Lawless, J. F. (2002). Analysis of repeated events. Statistical Methods in Medical Research 11, 141-166.
6. Cook, R. J., Lawless, J. F., and Nadeau, J. C. (1996). Robust tests for treatment comparisons based on recurrent event responses. Biometrics 52, 732-739.
7. Cox, D. R. (1972). Regression models and life tables (with discussion). Journal of the Royal Statistical Society, Series B 34, 187-220.
8. Ghosh, D. and Lin, D. Y. (2000). Nonparametric analysis of recurrent events and death. Biometrics 56, 554-562.
9. Ghosh, D. and Lin, D. Y. (2002). Marginal regression models for recurrent and terminal events. Statistica Sinica 12, 663-688.
10. Glidden, D. V. and Vittinghoff, E. (2004). Modelling clustered survival data from multicentre clinical trials. Statistics in Medicine 23, 369-388.
11. 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.
12. Kalbfleisch, J. D. and Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data. New York: Wiley.
13. Lawless, J. F. and Nadeau, J. C. (1995). Some simple robust methods for the analysis of recurrent events. Technometrics 37, 18-68.
14. Lin, D. Y., Wei, L. J., Yang, I., and Ying, Z. (2000). Semi-parametric regression for the mean and rate functions of recurrent events. Journal of the Royal Statistical Society, Series B 62, 711-730.
15. Liu, L., Wolfe, R. A., and Huang, X. (2004). Shared frailty model for recurrent events and a terminal event. Biometrics 60, 747-756.
16. Murphy, S. (1995). Asymptotic theory for the frailty model. Annals of Statistics 23, 182-198.
17. Parner, E. (1998). Asymptotic theory for the correlated Gamma-frailty model. Annals of Statistics 28, 183-214.
18. Pepe, M. S. and Cai, J. (1993). Some graphical displays and marginal regression analyses of recurrent events and a terminating event. Journal of the American Statistical Association 16, 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. 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.