A Comparison of Frailty and Other Models for Bivariate Survival Data

Lifetime Data Analysis

Volumn 6, Issue 3, 2000, Pages 207-228

  Sahu, Sujit K ^a   Dey, Dipak K ^b  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

Bivariate exponential distribution; Bivariate Weibull distribution; Frailty models; Markov chain Monte Carlo methods; Proportional hazard model

Indexed keywords

ARTICLE; BAYES THEOREM; COMPARATIVE STUDY; HUMAN; MULTIPLE ORGAN FAILURE; MULTIVARIATE ANALYSIS; PATHOPHYSIOLOGY; PROBABILITY; STATISTICAL MODEL; SURVIVAL;

BAYES THEOREM; HUMANS; MARKOV CHAINS; MODELS, STATISTICAL; MULTIPLE ORGAN FAILURE; MULTIVARIATE ANALYSIS; SURVIVAL ANALYSIS;

EID: 0034268997     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009633524403     Document Type: Review

References (28)

1. H. W. Block and A. P. Basu, "A continuous bivariate exponential extension," J. Amer. Statist. Assoc. vol. 69 pp. 1031-1037, 1974.
2. D. Clayton, "A model for association in bivariate life tables and its application in epidemiological studies of familiar tendency in chronic disease incidence," Biometrika vol. 65 pp. 141-151, 1978.
3. D. Clayton, "A Monte Carlo Method for Bayesian inference in frailty model," Biometrics vol. 47 pp. 467-185, 1991.
4. D. Clayton and J. Cuzick, "Multivariate generalizations of the proportional hazards model (with discussion)," J. Roy. Statist. Soc., A vol. 148 pp. 82-117, 1985.
5. M. Crowder, "Identifiability crises in competing risks," Int. Statist. Rev. vol. 62 pp. 379-391, 1994.
6. J. E. Freund, "A bivariate extension of the exponential distribution," J. Amer. Statist. Assoc. vol. 56 pp. 971-977, 1961.
7. A. E. Gelfand, "Model determination using sampling based methods," in W. R. Gilks, S. Richardson and D. J. Spiegelhalter (eds.), Markov Chain Monte Carlo in Practice, Chapman and Hall: London, pp. 145-161, 1996.
8. A. E. Gelfand and S. K. Ghosh, "Model choice: A minimum posterior predictive loss approach," Biometrika vol. 85 pp. 1-11, 1998.
9. S. K. Ghosh and A. E. Gelfand, "Latent waiting time models for bivariate event times with censoring," Sankhya, B, vol. 60 pp. 34-47, 1998.
10. W. R. Gilks, N. Best and K. K. C. Tan, "Adaptive rejection metropoils sampling within Gibbs sampling," Appl. Statist, vol. 44 pp. 455-472, 1995.
11. P. Gustafson, "Large hierarchical Bayesian analysis of multivariate survival data," Biometrics vol. 53 pp. 230-242, 1997.
12. P. Gustafson, "Flexible Bayesian modelling for survival data," Lifetime Data Analysis, vol. 4 pp. 281-299, 1998.
13. D. D. Hanagal, Some inference results in modified Freund's bivariate exponential distribution," Biom. J. vol. 34 pp. 745-756, 1992.
14. W. J. Huster, R. Brookmeyer and S. G. Self, "Modelling paired survival data with covariates," Biometrics vol. 45 pp. 145-156, 1989.
15. H. Joe, Multivariate Models and Dependence Concepts, Chapman & Hall: London , 1997.
16. R. E. Kass and A. E. Raftery, "Bayes factors," J. Amer. Statist. Assoc. vol. 90 pp. 773-795, 1995.
17. J. T. Key, L. R. Pericchi and A. F. M. Smith, "Bayesian model choice: What and why? (with discussion)," in J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith (eds.), Bayesian Statistics 6, Oxford University Press, pp. 343-370, 1999.
18. J. P. Klein, N. Keiding and C. Kamby, "Semiparametric Marshall-Olkin models applied to the occurrence of metastases at multiple sites after breast cancer," Biometrics vol. 45 pp. 1073-1086, 1989.
19. P. W. Laud and J. G. Ibrahim, "Predictive model selection," J. R. Statist. Soc. B, vol. 57 pp. 247-262, 1995.
20. L. Lee, "Multivariate distributions having Weibull properties," J. Mult. Anal. vol. 9 pp. 267-277, 1979.
21. J. C. Lu, "Weibull extensions of the Freund and the Marshall-Olkin bivariate exponential models," IEEE Transactions on Reliability vol. 38 pp. 615-619, 1989.
22. J. C. Lu and G. K. Bhattacharyya, "Some new constructions of bivariate Weibull models," Ann. Inst. Statist. Math. vol. 42 pp. 543-549, 1990.
23. A. W. Marshall and I. Olkin, "A multivariate exponential distribution," J. Amer. Statist. Assoc. vol. 62 pp. 30-44, 1967.
24. D. Oakes, "Bivariate survival models induced by frailties," J. Amer. Statist. Assoc. vol. 84 pp. 487-493, 1989.
25. F. Proschan and P. Sullo, "Estimating the parameters of abivariate exponential distribution in several sampling situations," in F. Proschan and R. J. Serfling (eds.), Reliability and Biometry, Soc. Indust. Appl. Math.: Philadelphia, Pa., pp. 423-440, 1974.
26. S. K. Sahu, D. K. Dey, H. Aslanidou and D. Sinha, "A Weibull regression model with gamma frailties for multivariate survival data," Lifetime Data Analysis vol. 3 pp. 123-137, 1997.
27. G. Schwarte, "Estimating the dimension of a model," Annals of Statistics vol. 6 pp. 461-464, 1978.
28. D. Sinha and D. K. Dey, "Semiparametric Bayesian analysis of survival data," J. Amer. Statist. Assoc., vol. 92 pp. 1195-1212, 1996.