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23739

EXPONENTIATED PARETO DISTRIBUTION: A BAYES STUDY UTILIZING MCMC TECHNIQUE UNDER UNIFIED HYBRID CENSORING SCHEME

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Last updated: 03 Jan 2025

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Abstract

This article aims to study the problem of point and interval estimations of the exponentiated Pareto distribu-
tion utilizing uni ed hybrid censored scheme (HCS). We utilize three methods, including the maximum likelihood, parametric
bootstrap and Bayes of estimating the unknown parameters, reliability, hazard rate functions and coecient of variation.
Furthermore, Markov Chain Monte Carlo samples utilizing importance sampling scheme are utilized to generate the Bayes
estimates and the credible intervals for unknown quantities. The ndings of Bayes method computed using balanced loss
function. The suggested methods can be understood by analysing a set of real data.

DOI

10.21608/joems.2018.2719.1026

Authors

First Name

M.

Last Name

Ghazal

MiddleName

-

Affiliation

Mathematics Department, Faculty of Science, Minia University, Minia, Egypt.

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Orcid

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First Name

Q.

Last Name

Shihab

MiddleName

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Affiliation

Mathematics Department, Faculty of Science, Minia University, Minia, Egypt.

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Volume

26

Article Issue

2

Related Issue

4360

Issue Date

2018-04-01

Receive Date

2018-03-04

Publish Date

2018-04-01

Page Start

376

Page End

394

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_23739.html

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https://joems.journals.ekb.eg/service?article_code=23739

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14

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Original Article

Type Code

485

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

EXPONENTIATED PARETO DISTRIBUTION: A BAYES STUDY UTILIZING MCMC TECHNIQUE UNDER UNIFIED HYBRID CENSORING SCHEME

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Article

Created At

22 Jan 2023