Generalized exponentiated distribution introduced as an alternative to gamma and Weibull distributions is derived usefull applications in reliability and survival studies. In this paper, we compared the maximum likelihood estimator(MLE), the approximate maximum likelihood estimator(AMLE) and the approximate maximum likelihood Jackniffe estimator(AMLJE) of the parameters of the Generalized exponentiated distribution in case of the randomly right censored data. The performance of the MLE, AMLE and AMLJE are compared by the simulation study. Simulation study show that, AMLE and AMLJE be have better than MLE when the proposed model is misspecified and thay are not better when not so.
