Trends in Applied Sciences Research1819-35792151-7908Science International10.3923/tasr.2014.438.449Omari Mohammed AhmedAl 8201498Weibull distribution has drawn a lot of attention from statisticians working on both theory and methods and even other fields of applied statistics. In this study, the performance of Maximum Likelihood Estimator and the Bayesian Estimator using Jeffreys prior and extension of Jeffreys prior information for estimating the scale parameter, survival function and the hazard function of the Weibull distribution given shape with type-I and II censored data was estimated. The comparisons are made with respect to the Mean Square Error (MSE) for various sample sizes with different values of the scale and shape parameters, extension of Jeffreys prior and different percentage of censoring. The Bayesian using extension of Jeffreys prior based on type-I and II is better estimator compared to the other estimations.]]>Ahmed, A.O.M., N.A. Ibrahim, M.B. Adam and J. Arasan,20121213131317Hossain, A.M. and W.J. Zimmer,200373145153Klein, J.P. and M.L. Moeschberger,20032nd Edn.,pp: 75pp: 75Kundu, D. and H. Howlader,20105415471558Kantar, Y.M. and B. Senoglu,20083419001909Pandey, B.N., N. Dwividi and B. Pulastya,201155163172Singh, U., P.K. Gupta and S.K. Upadhyay,200548509523Sinha, S.K.,198614756Smith, R.L. and J.C. Naylor,198736358369Soliman, A.A., A.H. Abd Ellah and K.S. Sultan,20065120652077Sun, D.,199761319338Ahmed, A.O.M., N.A. Ibrahim, J. Arasan and M.B. Adam,20115884889