References
- O. Aalen, Modelling heterogeneity in survival analysis by the compound Poisson distribution, Ann. Appl. Probab. 4 (1992), pp. 951–972. doi: https://doi.org/10.1214/aoap/1177005583
- M. Bonetti, C. Gigliarano, and P. Muliere, The Gini concentration test for survival data, Lifetime Data Anal. 15 (2009), pp. 493–518. doi: https://doi.org/10.1007/s10985-009-9125-5
- N. Chatterjee and J. Shih, A bivariate cure-mixture approach for modeling familial association in diseases, Biometrics 57 (2001), pp. 779–786. doi: https://doi.org/10.1111/j.0006-341X.2001.00779.x
- D.G. Clayton, A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence, Biometrika 65 (1978), pp. 141–151. doi: https://doi.org/10.1093/biomet/65.1.141
- C. Geerdens, G. Claeskens, and P. Janssen, Copula based flexible modeling of associations between clustered event times, Lifetime Data Anal. 22 (2016), pp. 363–381. doi: https://doi.org/10.1007/s10985-015-9336-x
- R.J. Gray and A.A. Tsiatis, A linear rank test for use when the main interest is in differences in cure rates, Biometrics 45 (1989), pp. 899–904. doi: https://doi.org/10.2307/2531691
- D. Hanagal and R. Sharma, Bayesian inference in Marshall–Olkin bivariate exponential shared gamma frailty regression model under random censoring, Comm. Statist. Theory Methods 44 (2015), pp. 24–47. doi: https://doi.org/10.1080/03610926.2012.732182
- P. Hougaard, Survival models for heterogeneous populations derived from stable distributions, Biometrika 337–396 (1986), pp. 387–396. doi: https://doi.org/10.1093/biomet/73.2.387
- P. Hougaard, Analysis for Multivariate Survival Data, Statistics for Biology and Health, Springer-Verlag, New York, 2000.
- W. Lu, Maximum likelihood estimation in the proportional hazards cure model, Ann. Inst. Stat. Math 60 (2008), pp. 545–574. doi: https://doi.org/10.1007/s10463-007-0120-x
- R.A. Maller and S. Zhou, Survival Analysis with Long Term Survivors, Wiley, New York, 1996.
- A.W. Marshall and I. Olkin, A multivariate exponential distribution, J. Am. Stat. Assoc. 62 (1967), pp. 30–44. doi: https://doi.org/10.1080/01621459.1967.10482885
- A.W. Marshall and I. Olkin, Families of multivariate distributions, J. Am. Stat. Assoc. 83 (1988), pp. 834–841. doi: https://doi.org/10.1080/01621459.1988.10478671
- M.C. Norton, K.R. Smith, T. Østbye, J.T. Tschanz, C. Corcoran, S. Schwartz, K.W. Piercy, P.V. Rabins, D.C. Steffens, I. Skoog, J.C.S. Breitner, K.A. Welsh-Bohmer, and for the Cache County Investigators, Increased risk of dementia when spouse has dementia? The cache county study, J. Am. Geriatr. Soc. 58 (2010), pp. 895–900. doi: https://doi.org/10.1111/j.1532-5415.2010.02806.x
- D. Oakes, A model for association in bivariate survival data, J.R. Stat. Soc. 44 (1982), pp. 414–422.
- E. Parner, Asymptotic theory for the correlated gamma-frailty model, Ann. Stat. 26 (1998), pp. 183–214. doi: https://doi.org/10.1214/aos/1030563982
- J.H. Petersen, An additive frailty model for correlated life times, Biometrics 54 (1998), pp. 646–661. doi: https://doi.org/10.2307/3109771
- B.L.S. Prakasa Rao, Identifiability in Stochastic Models: Characterization of Probability Distributions, Academic Press, Boston, 1992.
- R Core Team, R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria, 2017.
- J.H. Shih and T.A. Louis, Inferences on the association parameter in copula models for bivariate survival data, Biometrics 51 (1995), pp. 1384–99. doi: https://doi.org/10.2307/2533269
- R. Sutradhar and R. Cook, A conditional frailty model for bivariate interval-truncated failure time data: an application to a study on siblings diagnosed with schizophrenia, J. Med. Stat. Inform. 4 (2016), pp. 1–9. doi: https://doi.org/10.7243/2053-7662-4-1
- J.M.G. Taylor, Semi-parametric estimation in failure time mixture models, Biometrics 51 (1995), pp. 899–907. doi: https://doi.org/10.2307/2532991
- A. Wienke, Frailty Models in Survival Analysis, Biostatistics Series, Chapman & Hall/CRC Press, Boca Raton, 2010.
- A. Wienke, P. Lichtenstein, and A.I. Yashin, A bivariate frailty model with a cure fraction for modeling familial correlations in diseases, Biometrics 59 (2003), pp. 1178–1183. doi: https://doi.org/10.1111/j.0006-341X.2003.00135.x
- A.I. Yashin and I.A. Iachine, Genetic analysis of durations: Correlated frailty model applied to survival of danish twins, Genet. Epidemiol. 12 (1995), pp. 529–538. doi: https://doi.org/10.1002/gepi.1370120510
- S. Zhang, K. Chaloner, and J.T. Stapleton, A copula model for bivariate hybrid censored survival data with application to the macs study, Lifetime Data Anal. 16 (2010), pp. 231–249. doi: https://doi.org/10.1007/s10985-009-9139-z