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A New Generalized Weibull-Exponential Frailty Model
Department of Statistics, Sardar Patel University, Vallabh Vidyanagar, India
Department of Statistics, Sardar Patel University, Vallabh Vidyanagar, India
- 1 Department of Statistics, Sardar Patel University, Vallabh Vidyanagar, India
- 2 Department of Statistics, Sardar Patel University, Vallabh Vidyanagar, India
Open Journal of Statistics·Volume 07 (2017)·Pages 84–91·Published 9 February 2017·DOI10.4236/ojs.2017.71007
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Abstract
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.
KeywordsFrailtyProportional HazardE-M AlgorithmLikelihood Ratio TestGoodness of Fit of the Model
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