387299

Estimation of parameters for the exponentiated Pareto distribution based on progressively type-II right censored data

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Last updated: 05 Jan 2025

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Abstract

In this paper, we derive the best linear unbiased estimates (BLEUs) and the maximum
likelihood estimates (MLEs) of the location and scale parameters from the Exponentiated
Pareto distribution based on progressively Type-II right censored order statistics. In addition, we
use Monte-Carlo simulation method to obtain the mean square error of the best linear unbiased
estimates and the maximum likelihood estimates and make comparison between them. Finally, we
present numerical example.

DOI

10.1016/j.joems.2015.09.002

Keywords

Progressive Type-II right censored order statistics, Best Linear Unbiased Estimator (BLUEs), Maximum Likelihood Estimation (MLE), Exponentiated Pareto distribution

Authors

First Name

Mohamed

Last Name

Mahmoud

MiddleName

Abd Elwahab

Affiliation

Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt

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First Name

Nashwa

Last Name

Yhiea

MiddleName

Mohamed

Affiliation

Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, Egypt

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City

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Orcid

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First Name

Shymaa

Last Name

El-Said

MiddleName

Mohamed

Affiliation

Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, Egypt

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Volume

24

Article Issue

3

Related Issue

51065

Issue Date

2016-09-01

Receive Date

2024-10-21

Publish Date

2016-09-01

Page Start

431

Page End

436

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_387299.html

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https://joems.journals.ekb.eg/service?article_code=387299

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387,299

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Estimation of parameters for the exponentiated Pareto distribution based on progressively type-II right censored data

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Article

Created At

21 Dec 2024