246402

Bayesian Estimation of the Exponentiated Fréchet Distribution Parameters

Article

Last updated: 27 Apr 2025

Subjects

-

Tags

Bayesian inference
Statistical inference

Abstract

 



This article discusses the Bayesian estimators of the parameters of Exponentiated Fréchet distribution under squared error loss function, elative error loss function and LINEX loss function using the non-informative and uniform priors. The performance of the proposed estimators has been compared based on their simulated risk and the mean square error (MSE).This paper has been obtained Bayes and maximum likelihood estimators for the three parameters exponentiated Fréchet distribution. We have obtained Bayesian estimators of the parameters of the Exponentiated Fréchet distribution under squared error loss function, relative error loss function and LINEX loss function using the non-informative and uniform priors. The performance of the proposed estimators has been compared based on their simulated risk and the mean square error (MSE).
It is observed that estimates for ,b,p perform better where the sample size n is increased. Comparing estimates of tables when n=50.It is observed that estimates for =1, b=2, p=2 perform better than those using =2, b=3, p=3 perform better than those using =3, b=4, p=4.

DOI

10.21608/esju.2021.246402

Keywords

Fréchet distribution, Exponentiated distribution, Bayesian estimation

Authors

First Name

Amel

Last Name

Abd El-Monem

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

Volume

65

Article Issue

2

Related Issue

35282

Issue Date

2021-12-01

Receive Date

2021-06-16

Publish Date

2021-12-01

Page Start

1

Page End

13

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_246402.html

Detail API

http://journals.ekb.eg?_action=service&article_code=246402

Order

1

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Bayesian Estimation of the Exponentiated Fréchet Distribution Parameters

Details

Type

Article

Created At

23 Jan 2023