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

Document Type: Original Article

Authors

1 Department of Statistics, Ferdowsi University of Mashhad, P. O. Box 1159 Mashhad 91775, Iran.

2 Department of Statistics, Ferdowsi University of Mashhad, P. O. Box 1159 Mashhad 91775, Islamic Republic of Iran;ahabibi.um.ac.ir

10.30699/ijrss.2020.224846.1026

Abstract

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.

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