E-Bayesian and Hierarchical Bayesian estimators for the scale parameter of the Weibull distribution based on the Progressive Type II censoring with Three Loss Functions

Document Type : Scientific Research

Author

Lecturer- Payame Noor University

Abstract

In this paper, the estimation of the scale parameter of a two-parameter Weibull distribution based on the Progressive Type II censoring samples has been considered. The E-Bayesian and Hierarchical Bayesian estimators for the scale parameter of the Weibull distribution based on the symmetric and asymmetric loss functions, such as the squared error (SE), general entropy (GE) and Linear exponential (LINEX) loss functions, are provided. Then, with the use of mean square error and absolute bias and through Monte Carlo simulation study, these methods are compared with each other and with E-Bayesian estimator.

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References

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