Estimate the parameters of Exponential-Rayleigh distribution, by using Bayesian method

Authors

Maral Mohammed Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq https://orcid.org/0009-0005-6962-6612
Iden Hassan Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0002-6492-8196

DOI:

Keywords:

Bayesian method, Exponential-Rayleigh distribution, Tierney and kadane approximation Bayes estimation method, Linedely approximation Bayes estimation method, Simulation technique

Abstract

In this paper, point estimation method for parameters α and λ of the parameters of the Exponential-Rayleigh distribution have been estimated by the use of a simulation technique by using two Bayesian estimation methods; the first Bayesian method of estimation consists of Lindely approximation estimation method and the second Bayesian estimation method consists Tierney and kadane approximation estimation method to estimate all the unknown parameters (α,λ) of Exponential-Rayleigh distribution. Comparisons between these two methods were made by employing mean squares error criterion. Applying a simulation technique with different sample sizes, these methods are being compared.

Author Biographies

Maral Mohammed, Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq

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Iden Hassan, Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq

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