The unknown or unobservable risk factors in the survival analysis cause heterogeneity between the individuals. Frailty models are used in the survival analysis to account for the unobserved heterogeneity in the individual risks to disease and death. In this paper, we suggest the shared gamma...

We propose a bivariate Weibull regression model with heterogeneity (frailty or random effect) which is generated by log-normal distribution. We assume that the bivariate survival data follow bivariate Weibull of [Hanagal, D.D., 2004. Parametric bivariate regression analysis based on censored...

In this paper, we compare the power of three different tests for testing zero and non-zero values of the parameter [lambda]3 which measures the degree of dependence between the two components in bivariate exponential distribution (BVED) of the Marshall-Olkin (1967) model. We also compare the...

In this paper, we obtain MLEs of the parameters and of large sample test for testing independence and symmetry of k components in the k + 1 parameter version of an absolutely continuous multivariate exponential distribution (ACMVED) of Block (1975).

In this paper, we consider the shared gamma frailty model with Gompertz distribution as baseline hazard for bivariate survival times. The problem of analyzing and estimating parameters of bivariate Gompertz distribution with shared gamma frailty is of interest and the focus of this paper. We...

In this paper, we introduce a new shared frailty model called the compound negative binomial shared frailty model with three different baseline distributions namely, Weibull, generalized exponential and exponential power distribution. To estimate the parameters involved in these models we adopt...