Weibull extension of bivariate exponential regression model with different frailty distributions

摘要

We propose bivariate Weibull regression model with frailty which is generated by a gamma or positive stable or power variance function distribution. We assume that the bivariate survival data follows bivariate Weibull of Hanagal (Econ Qual Control 19:83-90, 2004; Econ Qual Control 20:143-150, 2005a; Stat Pap 47:137-148, 2006a; Stat Methods, 2006b). There are some interesting situations like survival times in genetic epidemiology, dental implants of patients and twin births (both monozygotic and dizygotic) where genetic behavior (which is unknown and random) of patients follows known frailty distribution. These are the situations which motivate to study this particular model.