Weibull extension of bivariate exponential regression model with different frailty distributions

Statistical Papers

Volumn 50, Issue 1, 2009, Pages 29-49

  Hanagal, David D ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

Bivariate Weibull; Frailty; Gamma; Parametric regression; Positive stable; Power variance function; Survival times

Indexed keywords

EID: 59049094642     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00362-007-0057-4     Document Type: Article

References (27)

1. H.W. Block A.P. Basu 1974 A continuous bivariate exponential extension J Am Stat Assoc 69 1031 1037
2. D.G. Clayton 1978 A model for association in bivariate life tables and its applications to epidemiological studies of familial tendency in chronic disease incidence Biometrika 65 141 151
3. J.J. Fan L. Hsu R.L. Prentice 2000 Dependence estimation over a finite bivariate failure region Lifetime Data Anal 6 343 355
4. J.P. Fine D.V. Glidden K.E. Lee 2003 A simple estimator for a shared frailty regression model J R Stat Soc B 65 317 329
5. J.E. Freund 1961 A bivariate extension of exponential distribution J Am Stat Assoc 56 971 77
6. D.V. Glidden 1999 Checking the adequacy of the gamma frailty model for multivariate failure times Biometrika 86 381 394
7. E.J. Gumbel 1960 Bivariate exponential distribution J Am Stat Assoc 55 698 707
8. R. Haas N. Mensdorff-Pouilly G. Mailath G. Watzek 1996 Survival of 1,920 IMZ implants followed for up to 100 months Int J Oral Maxillofac Implants 11 581 588
9. D.D. Hanagal 1996 A multivariate Weibull distribution Econ Qual Control 11 193 200
10. D.D. Hanagal 2004 Parametric bivariate regression analysis based on censored samples: A Weibull model Econ Qual Control 19 83 90
11. D.D. Hanagal 2005a A bivariate Weibull regression model Econ Qual Control 20 143 150
12. D.D. Hanagal 2005b A positive stable frailty regression model in bivariate survival data J Ind Soc Probab Stat 9 35 44
13. D.D. Hanagal 2006a Bivariate Weibull regression model based on censored samples Stat Pap 47 137 148
14. Hanagal DD (2006b) Weibull extensions of bivariate exponential regression model for a survival data. Stat Methods (to appear)
15. D.D. Hanagal 2006c Weibull extension of bivariate exponential regression model with gamma frailty for survival data Econ Qual Control 21 165 174
16. Hougaard P. (2000) Analysis of multivariate survival data. Springer, New York
17. C.T. Ivanoff K. Grondahl L. Sennerby C. Bergstorm W. Lekholm 1999 Influence of variations in implant diameters: a 3 to 5 year retrospective clinical report Int J Oral Maxillofac Implants 14 173 180
18. L. Lee 1979 Multivariate distributions having Weibull properties J Multivariate Anal 9 267 277
19. K-Y Liang 1991 Estimating effects of probands characteristic in familial risk: 1. Adjustments for censoring and correlated ages at onset Genet Epidemiol 8 329 338
20. J.C. Lu 1989 Weibull extensions of the Freund and Marshall-Olkin bivariate exponential models IEEE Trans Reliabil 38 615 619
21. A.W. Marshall I. Olkin 1967 A multivariate exponential distribution J Am Stat Assoc 62 30 44
22. D. Oakes 1982 A model for association in bivariate survival data J R Stat Soc B 44 414 422
23. D. Oakes 1986 Semiparametric inference in bivariate in bivariate survival data Biometrika 73 353 361
24. D. Oakes 1989 Bivariate survival models induced by frailties J Am Stat Assoc 84 487 493
25. E. Parner 1998 Asymptotic theory for correlated gamma-frailty model Ann Stat 26 183 214
26. Proschan F., Sullo P. (1974) Estimating the parameters of bivariate exponential distributions in several sampling situations. In: Proschan F., Serfling R.J. (eds). Reliability and biometry. SIAM, Philadelphia, pp 423-440
27. J.H. Shih 1998 A goodness-of-fit test for association in a bivariate survival model Biometrika 85 189 200