47
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Compound negative binomial shared frailty model with random probability of susceptibility

Pages 843-861 | Received 21 Jul 2022, Accepted 18 Oct 2023, Published online: 03 Nov 2023

References

  • Clayton DG. A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika. 1978;65(1):141–151. doi:10.1093/biomet/65.1.141
  • Vaupel JW, Manton KG, Stallard E. The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography. 1979;16(3):439–454. doi:10.2307/2061224
  • Duchateu L, Janseen P. The frailty model. New York: Springer; 2008.
  • Hanagal DD. Modeling survival data using frailty models. New York: CRC; 2011.
  • Hougaard P. Analysis of multivariate survival data. New York: Springer; 2000.
  • Wienke A. Frailty models in survival analysis. New York: CRC; 2011.
  • Kheiri S, Meshkani MR, Faghihzadeh S. A correlated frailty model for analysing risk factors in bilateral corneal grafts rejection for keratoconus: a Bayesian approach. Stat Med. 2005;24(17):2681–2693. doi:10.1002/sim.2113
  • Aalen OO, Tretli S. Analyzing incidence of testis cancer by means of a frailty model. Cancer Causes Cont. 1999;10(4):285–292. doi:10.1023/A:1008916718152
  • Aalen OO. Modelling heterogeneity in survival analysis by the compound Poisson distribution. Ann Appl Probab. 1992;2(4):951–972. doi:10.1214/aoap/1177005583
  • Wienke A, Ripatti S, Palmgren J, et al. A bivariate survival model with compound Poisson frailty. Stat Med. 2010;29(02):275–283. doi:10.1002/sim.3749
  • Hanagal DD, Dabade AD. Compound negative binomial shared frailty models for bivariate survival data. Stat Probab Lett. 2013;83(11):2507–2515. doi:10.1016/j.spl.2013.07.005
  • Hanagal DD, Kamble AT. Bayesian estimation in shared compound negative binomial frailty models. J Stat Math Sci. 2016;02(01):53–67.
  • Moger TA, Aalen OO. A distribution for multivariate frailty based on the compound Poisson distribution with random scale. Lifetime Data Anal. 2005;11:41–59. doi:10.1007/s10985-004-5639-z
  • Hanagal DD. Modeling heterogeneity for bivariate survival data by the compound Poisson distribution with random scale. Stat Probab Lett. 2010;80:1781–1790. doi:10.1016/j.spl.2010.08.002
  • Kalbfleisch JD, Prentice RL. The statistical analysis of failure time data. New York: Wiley; 2002.
  • Kheiri S, Kimber A, Meshkani MR. Bayesian analysis of an inverse Gaussian correlated frailty model. Comput Stat Data Anal. 2007;51(11):5317–5326. doi:10.1016/j.csda.2006.09.026
  • Hanagal DD. Correlated positive stable frailty models. Commun Stat Theory Methods. 2021;50(23):5617–5633. doi:10.1080/0361-926.20201736305
  • McGrilchrist CA, Aisbett CW. Regression with frailty in survival analysis. Biometrics. 1991;47:461–466. doi:10.2307/2532138
  • Dabade AD. Contributions to Bayesian inference in shared frailty models. Unpublished Ph.D. Thesis, University of Pune, India; 2012.
  • Locatelli I, Rosina A, Lichtenstein P, et al. A correlated frailty model with long-term survivors for estimating the heritability of breast cancer. Stat Med. 2007;26(20):3722–3734. doi:10.1002/sim.2761
  • Price DL, Manatunga AK. Modelling survival data with cured fraction using frailty models. Stat Med. 2001;20(9–10):1515–1527. doi:10.1002/sim.687
  • Wienke A, Lichtenstein P, Yashin AI. A bivariate frailty model with a cure fraction for modeling familial correlations in diseases. Biometrics. 2003;59(4):1178–1183. doi:10.1111/biom.2003.59.issue-4
  • Abramowitz M, Stegun IA. Handbook of mathematical functions. Washington, DC: National Bureau of Statistics; 1970.

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.