422708

Parametric Inference for Inverted Exponentiated Rayleigh Distribution under General Progressive Type II Censoring Scheme

Article

Last updated: 11 May 2025

Subjects

-

Tags

الاحصاء والرياضة والتأمين

Abstract

A parametric inference of point and interval estimates for inverted exponentiated Rayleigh distribution with general progressive Type-II censoring scheme is studied using both classical and Bayesian estimation. The maximum likelihood method is used for estimating the unknown two-parameter inverted exponentiated Rayleigh distribution and some lifetime parameters such as survival and hazard rate functions in presence of general progressive Type-II censoring sampling. The approximate confidence intervals through Fisher information matrix, highest posterior density credible intervals for the two-parameter inverted exponentiated Rayleigh distribution, and any function of them, are constructed. In addition, Bayesian estimates of the unknown parameters are computed using two different loss functions squared error loss and linear exponential loss functions. A Markov Chain Monte Carlo method technique is applied to carry out Bayesian estimation procedure. Finally, a numerical simulation is carried out to assess the performance of the proposed methods and real data is analyzed using the suggested inference methods.

DOI

10.21608/zcom.2025.363797.1419

Keywords

General progressive Type II censoring scheme, Inverted exponentiated Rayleigh distribution, Maximum likelihood estimation, Bayesian estimation, Markov Chain Monte Carlo

Authors

First Name

مريم أحمد السيد محمد

Last Name

سليم

MiddleName

-

Affiliation

قسم الرياضة والإحصاء والتأمين، کلية التجارة، جامعة الزقازيق، مصر

Email

mariam0mariam1997@gmail.com

City

-

Orcid

-

First Name

أسامه السيد

Last Name

عراقي

MiddleName

-

Affiliation

قسم الرياضة والإحصاء والتأمين، کلية التجارة، جامعة الزقازيق، مصر

Email

osamaelsayederaky@gmail.com

City

-

Orcid

-

First Name

سامية ابو الفتوح

Last Name

سالم

MiddleName

-

Affiliation

قسم الإحصاء والرياضة والتأمين، کلية التجارة، جامعة الزقازيق، مصر

Email

samia_a_salem@yahoo.com

City

القاهرة

Orcid

-

Volume

47

Article Issue

2

Related Issue

55585

Issue Date

2025-04-01

Receive Date

2025-02-26

Publish Date

2025-04-01

Page Start

270

Page End

303

Print ISSN

1110-7731

Online ISSN

2735-4512

Link

https://zcom.journals.ekb.eg/article_422708.html

Detail API

http://journals.ekb.eg?_action=service&article_code=422708

Order

25

Type

تجاریة کل ما یتعلق بالعلوم التجاریة

Type Code

1,572

Publication Type

Journal

Publication Title

مجلة البحوث التجارية

Publication Link

https://zcom.journals.ekb.eg/

MainTitle

Parametric Inference for Inverted Exponentiated Rayleigh Distribution under General Progressive Type II Censoring Scheme

Details

Type

Article

Created At

11 May 2025