Arezou Habibirad - Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran
Jaber kazempoor - Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran

In this paper, the conditional estimation of the Weibull and its related parameters are introduced. Some interesting properties of this estimator in contrast with the well-known maximum likelihood estimators have been investigated. This task is done under the famous sampling plan type-ii censoring scheme. 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 the Gumbel (log-Weibull) model. The one to one transformation between these models and satisfying in their parameters enabling us for utilizing this alternative model. Finally, the comparison of this method and maximum likelihood estimation are provided through some numerical results.

Conditional estimation, Gumbel distribution, Weibull mode