The Conditional Estimation for related Weibull parameters Under Type-II Censoring

Document Type : Original Article


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.


Main Subjects

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Volume 3, Issue 1
January 2020
Pages 97-101
  • Receive Date: 03 April 2020
  • Revise Date: 16 May 2020
  • Accept Date: 21 June 2020
  • First Publish Date: 21 June 2020