413
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Correlated inverse Gaussian frailty models for bivariate survival data

ORCID Icon & ORCID Icon
Pages 845-863 | Received 15 Jun 2018, Accepted 12 Nov 2018, Published online: 31 Dec 2018

References

  • Barndorff-Nielsen, O. E. 1994. A note on electrical networks. Advances in Applied Probability 26 (1):63–7. doi:10.2307/1427579.
  • Chhikara, R. S., and J. L. Folks. 1986. The inverse Gaussian distribution. New York: Marcel Dekker.
  • Clayton, D. G., and J. Cuzick. 1985. Multivariate generalizations of the proportional hazards model (with discussion). Journal of Royal Statistical Society, Ser., A 148 (2):82–117. doi:10.2307/2981943.
  • Duchateau, L., P. Janssen. 2008. The frailty model. New York: Springer.
  • Gacula, M. C., Jr., and J. J. Kubala. 1975. Statistical models for shelf life failures. Journal of Food Science 40 (2):404–9. doi:10.1111/j.1365-2621.1975.tb02212.x.
  • Hanagal, D. D. 2011. Modeling survival data using frailty models. New York: Chapman & Hall/CRC.
  • Hanagal, D. D. 2017. Frailty models in public health. Handbook of statistics, 37(B). Amsterdam: Elsevier Publishers; 209–247.
  • Hanagal, D. D., and S. M. Bhambure. 2014. Shared inverse Gaussian frailty model based on reversed hazard rate for modeling Australian twin data. Journal of Indian Society for Probability and Statistics 15:9–37.
  • Hanagal, D. D., and S. M. Bhambure. 2015. Comparison of shared gamma frailty models using bayesian approach. Model Assisted Statistics & Applications 10:25–41.
  • Hanagal, D. D., and S. M. Bhambure. 2016. Modeling bivariate survival data using shared inverse gaussian frailty model. Communications in Statistics, Theory & Methods 45 (17):4969–87. doi:10.1080/03610926.2014.901380.
  • Hanagal, D. D., and A. D. Dabade. 2013. Modeling of inverse Gaussian frailty model for bivariate survival data. Communications in Statistics, Theory & Methods 42 (20):3744–69. doi:10.1080/03610926.2011.638428.
  • Hanagal, D. D., and A. Pandey. 2014a. Inverse Gaussian shared frailty for modeling kidney infection data. Advances in Reliability 1:1–14.
  • Hanagal, D. D., and A. Pandey. 2014b. Gamma shared frailty model based on reversed hazard rate for bivariate survival data. Statistics & Probability Letters 88:190–6. doi:10.1016/j.spl.2014.02.008.
  • Hanagal, D. D., and A. Pandey. 2015. Gamma frailty models for bivarivate survival data. Journal of Statistical Computation and Simulation 85 (15):3172–89. doi:10.1080/00949655.2014.958086.
  • Hanagal, D. D., and A. Pandey. 2015b. Inverse Gaussian shared frailty models with generalized exponential and generalized inverted exponential as baseline distributions. Journal of Data Science 13 (2):569–602.
  • Hanagal, D. D., and A. Pandey. 2016. Inverse Gaussian shared frailty models based on reversed hazard rate. Model Assisted Statistics and Applications 11 (2):137–51. doi:10.3233/MAS-150359.
  • Hanagal, D. D., A. Pandey, and P. G. Sankaran. 2017. Shared frailty model based on reversed hazard rate for left censoring data. Communications in Statistics, Simulation and Computation 46 (1):230–43. doi:10.1080/03610918.2014.960092.
  • Hanagal, D. D., and A. Pandey. 2017. Correlated gamma frailty models for bivariate survival data based on reversed hazard rate. International Journal of Data Science 2 (4):301–24. doi:10.1504/IJDS.2017.10009004.
  • Hanagal, D. D., A. Pandey, and A. Ganguly. 2017. Correlated gamma frailty models for bivariate survival data. Communications in Statistics, Simulation and Computation 46 (5):3627–44. doi:10.1080/03610918.2015.1085559.
  • Hanagal, D. D., and R. Sharma. 2013. Modeling heterogeneity for bivariate survival data by shared gamma frailty regression model. Model Assisted Statistics and Applications 8:85–102.
  • Hanagal, D. D., and R. Sharma. 2015. Bayesian inference in Marshall-Olkin bivariate exponential shared gamma frailty regression model under random censoring. Communications in Statistics, Theory and Methods 44 (1):24–47. doi:10.1080/03610926.2012.732182.
  • Hanagal, D. D., and R. Sharma. 2015b. Comparison of frailty models for acute Leukaemia data under Gompertz baseline distribution. Communications in Statistics, Theory & Methods 44 (7):1338–50. doi:10.1080/03610926.2013.769600.
  • Hanagal, D. D., and R. Sharma. 2015c. Analysis of bivariate survival data using shared inverse Gaussian frailty model. Communications in Statistics, Theory & Methods 44 (7):1351–80. doi:10.1080/03610926.2013.768663.
  • Hougaard, P. 1984. Life table methods for heterogeneous populations. Biometrika 71 (1):75–83. doi:10.1093/biomet/71.1.75.
  • Hougaard, P. 1986. Survival models for heterogeneous populations derived from stable distributions. Biometrika 73 (2):387–96. doi:10.1093/biomet/73.2.387.
  • Iachine, I. A. 1995a. Correlated frailty concept in the analysis of bivariate survival data. Bachelor project, Department of Mathematics and Computer Science. Odense University, Denmark.
  • Iachine, I. A. 1995b. Parameter estimation in the bivariate correlated frailty model with observed covariates via the EM-algorithm. Working Paper Series: Population Studies of Aging 16, CHS. Odense University, Denmark.
  • Ibrahim, J. G., C. Ming-Hui, and D. Sinha. 2001. Bayesian survival analysis. New York: Springer, Verlag.
  • Kheiri, S., A. Kimber, and M. R. Meshkani. 2007. Bayesian analysis of an inverse Gaussian correlated frailty model. Computational Statistics and Data Analysis 51 (11):5317–26. doi:10.1016/j.csda.2006.09.026.
  • McGilchrist, C. A., and C. W. Aisbett. 1991. Regression with frailty in survival analysis. Biometrics 47 (2):461–6.
  • Sahu, S. K., D. K. Dey, H. Aslanidou, and D. Sinha. 1997. A weibull regression model with gamma frailties for multivariate survival data. Lifetime Data Analysis 3 (2):123–37. doi:10.1023/A:1009605117713.
  • Santos, C. A., and J. A. Achcar. 2010. A bayesian analysis for multivariate survival data in the presence of covariates. Journal of Statistical Theory and Applications 9:233–53.
  • Seshadri, V. 1999. The inverse gaussian distribution: Statistical theory and applications. New York: Springer Science.
  • Vaupel, J. W., K. G. Manton, and E. Stallard. 1979. The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography 16 (3):439–54.
  • Vilmann, H., S. Kirkeby, and D. Kronborg. 1990. Histomorphometrical analysis of the influence of soft diet on masticatory muscle development in the muscular dystrophic mouse. Archives of Oral Biology 35 (1):37–42. doi:10.1016/0003-9969(90)90112-N.
  • Wienke, A. 2011. Frailty models in survival analysis. New York: Chapman & Hall/CRC.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.