Document Type: Original Article
Department of Statistics, Ferdowsi University of Mashhad, P. O. Box 1159
Mashhad 91775, Iran.
Department of Statistics, Ferdowsi University of Mashhad, P. O. Box 1159 Mashhad 91775, Islamic Republic of Iran;ahabibi.um.ac.ir
The conditional estimation of the Weibull and its related parameters are introduced. For this estimator, some interesting properties
in contrast with the well known maximum likelihood estimators have been investigated. This task is done under the famous
sampling plan typeii
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 (logWeibull)
model. The one to
one transformation between these models and it’s satisfying in their parameters able us for utilizing this alternative model. Finally,
the comparison of this method and maximum likelihood estimation are provided through some numerical results.