we propose a Bayesian estimation for three parameter Weibull distribution by using a mixed Gibbs algorithm (Gibbs sampling with Metropolis algorithm mixed) both in the case of complete sample and type II censored sample. Then, as some applications, we take three examples, in which we obtain Bayesian estimation and the confidence interval for the parameters by the Monte Carlo simulation,gives locus respectively, histograms and autocorrelation coefficient figure of the parameters in the mixed Gibbs sampling process. Then the simulation results are compared with some known results.
