Author(s)

Ashok Shanubhogue, Ankit R. Sinojiya^*

Department of Statistics, Sardar Patel University, Vallabh Vidyanagar, India.

We have proposed a new generalized Weibull-exponential frailty model which is a general case of classical frailty model suggested by [1] and [2]. In classical frailty model, modeling of hazard rate is considered whereas, in this paper, direct modeling of conditional survival function given the frailty is considered. Simulation study is carried out using E-M algorithm using MATLAB programme. Further we implemented the suggested model on a real life data. As an illustration, we have fitted the model to the data given in [3] which examines the strength of isolated carbon fiber under tensile aload.

Frailty, Proportional Hazard, E-M Algorithm, Likelihood Ratio Test, Goodness of Fit of the Model

Shanubhogue, A. and Sinojiya, A. (2017) A New Generalized Weibull-Exponential Frailty Model. Open Journal of Statistics, 7, 84-91. doi: 10.4236/ojs.2017.71007.