Bayesian Methods to Estimate the Parameters of Exponentiated Weibull Distribution

Abstract

In this paper we introduced some of properties of the Exponentiated Weibull distribution. Tierney estimator method and Lindely estimator method are proposed to estimate all the unknown parameters (β,Ψ,θ) of the Exponentiated Weibull distribution. Simulation procedure is used to generate some sample sizes and mean squares error measure, and when we compared between the above two methods we find that Tierney method has the less (MSE).

Bayes estimators with extension of Jeffery prior information for Time censored data and Failure censored data

“…Kanani2 (2021), they introduced some of the properties of the exponentiated Weibull distribution. The Tierney estimator method and the Lindely estimator method are proposed to estimate all the unknowns [3]. E. Mohammed, and A. Aoda Al-Tebawyb (2021), shows that the Bayes method and compares it to the standard method.…”