Two methods of estimation of parameters in Weibull distribution under type-II censored order statistics have been considered. It is because of the complex behavior in the calculation of the likelihood function of the presented scheme in this situation without loss of generality, this problem fixed with Gumbel model. The one to one transformation between these models and its satisfying in their parameters able us for the use of this alternative model. Moreover, some statistical inferences of a new strategy of estimating based on The Bayesian conditional method have provided and the numerical results of these strategies are compared.

Keywords