Exponentiated Weibull distribution introduced as an extention of the weibull distribution is derived usefull applicationa 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 Jackni e estimator(AMLJE) of the parameters of the ex- ponentited weibull distribution in case of the randomly right censored data. The performance of the MLE,AMLE and AMLJE are copmared by the simu- lation stydy. Simulation study show that, AMLE and AMLJE be have better than MLE when the proposed model is misspeci ed and thay are not better when not so.
