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

Maral Mohammed; Iden Hassan

doi:10.30526/ebd49144

Article Details

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

Authors:

Maral Mohammed | Iden Hassan

Publisher:

University of Baghdad

Journal:

Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.38 Issue 2, pp.402-417

Document Type:

Article

Publication Date:

4/2025

Document Language:

English

Document ID (Org No.):

2001378305

pISSN:

2521-3407

DOI:

10.30526/ebd49144

Keywords:

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.

Article Details

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

Authors:

Maral Mohammed | Iden Hassan

Publisher:

University of Baghdad

Journal:

Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.38 Issue 2, pp.402-417

Document Type:

Article

Publication Date:

4/2025

Document Language:

English

Document ID (Org No.):

2001378305

pISSN:

2521-3407

DOI:

10.30526/ebd49144

Bayesian method

Exponential-Rayleigh distribution

Tierney and kadane approximation Bayes estimation method

Linedely approximation Bayes estimation method

Simulation technique

Issues

Article Details

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

Authors: Maral Mohammed | Iden Hassan

Publisher: University of Baghdad

Journal: Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.38 Issue 2, pp.402-417

Document Type: Article

Publication Date: 4/2025

Document Language: English

Document ID (Org No.): 2001378305

pISSN: 2521-3407

DOI: 10.30526/ebd49144

Bayesian method

Exponential-Rayleigh distribution

Tierney and kadane approximation Bayes estimation method

Linedely approximation Bayes estimation method

Simulation technique

Issues

Authors:

Maral Mohammed | Iden Hassan

Publisher:

University of Baghdad

Journal:

Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.38 Issue 2, pp.402-417

Document Type:

Article

Publication Date:

4/2025

Document Language:

English

Document ID (Org No.):

2001378305

pISSN:

2521-3407

DOI:

10.30526/ebd49144