Frailty-Based Competing Risks Model for Multivariate Survival Data
Article first published online: 5 AUG 2010
© 2010, The International Biometric Society
Volume 67, Issue 2, pages 415–426, June 2011
How to Cite
Gorfine, M. and Hsu, L. (2011), Frailty-Based Competing Risks Model for Multivariate Survival Data. Biometrics, 67: 415–426. doi: 10.1111/j.1541-0420.2010.01470.x
- Issue published online: 20 JUN 2011
- Article first published online: 5 AUG 2010
- Received November 2009. Revised May 2010. Accepted May 2010.
- Competing risks;
- Frailty model;
- Multivariate survival analysis;
- Nonparametric maximum likelihood estimator
Summary In this work, we provide a new class of frailty-based competing risks models for clustered failure times data. This class is based on expanding the competing risks model of Prentice et al. (1978, Biometrics 34, 541–554) to incorporate frailty variates, with the use of cause-specific proportional hazards frailty models for all the causes. Parametric and nonparametric maximum likelihood estimators are proposed. The main advantages of the proposed class of models, in contrast to the existing models, are: (1) the inclusion of covariates; (2) the flexible structure of the dependency among the various types of failure times within a cluster; and (3) the unspecified within-subject dependency structure. The proposed estimation procedures produce the most efficient parametric and semiparametric estimators and are easy to implement. Simulation studies show that the proposed methods perform very well in practical situations.