Modeling multilevel survival data using frailty models

Communications in Statistics - Theory and Methods

Volumn 37, Issue 11, 2008, Pages 1734-1741

  Kim, Sungduk ^a   Dey, Dipak K ^a  

^a UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

Bayesian methods; Frailty; Markov chain Monte Carlo; Partial likelihood

Indexed keywords

BAYESIAN NETWORKS; MARKOV PROCESSES; MATHEMATICAL MODELS; MULTIVARIABLE CONTROL SYSTEMS; NORMAL DISTRIBUTION; PARAMETERIZATION;

BAYESIAN METHODS; MARKOV CHAIN MONTE CARLO; PARTIAL LIKELIHOOD; PROPORTIONAL HAZARD STRUCTURE;

MAXIMUM LIKELIHOOD;

EID: 41849122241     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920701826245     Document Type: Conference Paper

References (29)

1. Andersen, P. K., Gill, R. D. (1982). Cox's regression model for counting processes: a large sample study. Ann. Statist. 10:1100-1120.
2. Aslanidou, H., Dey, D. K., Sinha, D. (1998). Bayesian analysis of multivariate survival data using Monte Carlo methods. Canad. J. Statist. 26:33-48.
3. Clayton, D. G. (1978). A model for association in bivariate life tables and its applications in epidemiological studies of familial tendency in chronic disease incidence. Biometrka 65:141-151.
4. Clayton, D. G. (1991). A Monte Carlo method for Bayesian inference in frailty models. Biometrka 47:467-485.
5. Clayton, D., Cuzick, J. (1985). Multivariate generalizations of the proportional hazards model (with discussion) semiparametric Bayesian analysis of multiple event time data. J. Roy. Statist. Soc. Ser. A 148:82-117.
6. Cox, D. R. (1972). Regression models and life tables (with discussion). J. Roy. Statist. Soc. Ser. B 34:187-220.
7. Cox, D. R. (1975). Partial likelihood. Biometrika 62:269-276.
8. Fleming, T. R., Harrington, D. P. (1991). Counting Processes and Survival Analysis. New York: Wiley.
9. Gelfand, A. E., Smith, A. F. M. (1990). Sampling based approaches to calculating marginal densities. J. Amer. Statist. Assoc. 85:398-409.
10. Gray, R. J. (1994). A Bayesian analysis of institutional effects in a multicenter cancer clinical trial. Biometrics 50:244-253.
11. Gustafson, P. (1997). Large hierarchical Bayesian analysis of multivariate survival data. Biometrics 53:230-242.
12. Hougaard, P. (1984). Life table methods for heterogeneous populations: distributions describing the heterogeneity. Biometrika 71:75-83.
13. Hougaard, P. (1986a). A class of multivariate failure time distributions. Biometrika 73:671-678.
14. Hougaard, P. (1986b). Survival models for heterogeneous populations derived from stable distribution. Biometrika 73:387-396.
15. Ibrahim, J., Chen, M. H., Sinha, D. (2001). Bayesian Survival Analysis. New York: Springer.
16. Johansen, S. (1983). An extension of Cox's regression model. Int. Statist. Rev. 51:165-174.
17. Kalbfleisch, J. D. (1978). Nonparametric Bayesian analysis of survival time data. J. Roy. Statist. Soe. Ser. B 40:214-221.
18. Oakes, D. (1989). Bivariate survival models induced by frailties. J. Amer. Statist. Assoc. 84:487-493.
19. Raftery, A. L., Lewis, S. (1992). How many iterations in the Gibbs sampler? In: Bernardo, J. M., Berger, J. O., Dawid, A. P., Smith, A. F. M., eds. Bayesian Statistics 4. Oxford: Oxford University Press.
20. Sahu, S. K., Dey, D. K. (2004). On Bayesian multivariate survival model with skewed frailty, skew-elliptical distribution and their applications: A journey beyond normality. Genton, M. G., ed. Boca Raton, FL: Chapman & Hall, pp. 321-338.
21. Sahu, S. K., Dey, D. K., Branco, M. D. (2003). A new class of multivariate skew distributions with applications to Bayesian regression models. Canad. J. Statist. 31:129-150.
22. Sargent, D. J. (1998). A general framework for random effects survival analysis in the Cox proportional hazards setting. Biometrics 54:1486-1497.
23. Shih, J. A., Louis, T. A. (1995). Assessing gamma frailty models for clustered failure time data. Lifetime Data Anal. 1:205-220.
24. Sinha, D. (1993). Semiparametric Bayesian analysis of multiple event time data. J. Amer. Statist. Assoc. 88:979-983.
25. Smith, A. F. M., Roberts, G. O. (1993). Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods (with discussion). J. Roy. Statist. Soc. Ser. B 55:3-23.
26. Stangl, D. K. (1995). Prediction and decision making using Bayesian hierarchical models. Statist. Med. 14:2173-2190.
27. Stangl, D. K., Greenhouse, J. B. (1995). Assessing placebo response using Bayesian hierarchical survival models. Discussion paper 95-01. Institute of Statistics and Decision Sciences, Duke University.
28. Vaupel, J. W., Manton, K. G., Stallard, E. (1979). The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography 16:439-454.
29. Yau, K. K. W. (2001). Multilevel models for survival analysis with random effects. Biometrics 57:96-102.