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Original Articles

Semiparametric Estimation for the Additive Inverse Gaussian Frailty Model

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Pages 2269-2278 | Received 07 Jan 2009, Accepted 28 Jan 2011, Published online: 09 May 2012

References

  • Anderson , P. K. , Klein , J. P. , Knudsen , K. M. , Palacios , R. ( 1997 ). Estimation of variance in a Cox's regression model with shared gamma frailties . Biometrics 53 : 1475 – 1484 .
  • Clayton , D. G. ( 1978 ). A model for association in bivariate life tables and its application in epidemiological studies of familial tendency toward chronic disease . Biometrika 65 : 141 – 151 .
  • Cox , D. R. ( 1972 ). Regression models and life tables (with discussion) . J. Roy. Statist. Soc. Ser. B 34 : 187 – 220 .
  • Hougaard , P. ( 1986a ). Survival models for heterogeneous population derived from positive stable distributions . Biometrika 73 : 387 – 396 .
  • Hougaard , P. ( 1986b ). A class of multivariate failure time distributions . Biometrika 73 : 671 – 687 .
  • Hougaard , P. ( 1987 ). Modeling multivariate survival . Scand. J. Statist. 14 : 291 – 304 .
  • Hougaard , P. ( 1989 ). Fitting a multivariate failure time distribution . IEEE Trans. Reliab. 38 : 444 – 448 .
  • Hougaard , P. ( 2000 ). Analysis of Multivariate Survival Data . New York : Springer-Verlag .
  • Hougaard , P. , Harvard , B. , Holm , N. (1992a). Assessment of dependence in the life times of twins. In: Klein , J. P. , Goel , P. , eds. Survival Analysis: State of the Art . Boston : Kluwer Academic Publishers, pp. 77–98.
  • Hougaard , P. , Harvard , B. , Holm , N. ( 1992b ). Measuring the similarities between the lifetimes of adult Danish twins born between 1881–1930 . J. Amer. Statist. Assoc. 87 : 17 – 24 .
  • Klein , J. P. ( 1992 ). Semiparametric estimation of random effects using the Cox model based on the EM algorithm . Biometrics 48 : 795 – 806 .
  • Klein , J. P. , Costigan , T. M. , Moeschberger , M. L. ( 1991 ). Assessment of risk factors and the strength of dependence when event times are associated within groups. Columbus, OH: Ohio State University Technical Report .
  • Li , Y. H. ( 1991 ). The inverse Gaussian Frailty Model with Covariates. Ph.D. Dissertation, The Ohio State University .
  • Nielsen , G. , Gill , R. , Andersen , P. K. , Sorensen , T. I. ( 1992 ). A counting process approach to maximum likelihood estimation in frailty models . Scand. J. Stat. 19 : 25 – 43 .
  • Oakes , D. ( 1982 ). A model for association in bivariate survival data . J. Roy. Statist. Soc. Ser. B 44 : 414 – 422 .
  • Oakes , D. ( 1986a ). Semiparametric inference in a model for association in bivariate survival data . Biometrika 73 : 353 – 361 .
  • Oakes , D. ( 1986b ). A model for bivariate survival data . In: Moolgavkar , S. H. , Prentice , R. L. , eds. Modern Statistical Methods in Chronic Epidemiology . New York : John Wiley and Sons , pp. 151 – 166 .
  • Parner , E. ( 1998 ). Asymptotic theory for the correlated gamma-frailty model . Ann. Statist. 26 : 183 – 214 .
  • Petersen , J. H. ( 1996 ). An additive frailty model for correlated life times . Biometrics 54 : 646 – 661 .
  • 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 .
  • Whitmore , G. A. , Lee , M. L. T. ( 1991 ). A multivariate survival distribution generated by an inverse Gaussian mixture of exponentials . Technometrics 33 : 39 – 50 .
  • Yashin , A. I. , Vaupel , J. W. , Iachine , I. A. ( 1995 ). Correlated individual frailty: An advantageous approach to survival analysis of bivariate data . Mathemat. Popul. Stud. 5 : 145 – 159 .

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