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382549

Estimation under Burr type X distribution based on doubly type II censored sample of dual generalized order statistics

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Last updated: 05 Jan 2025

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Abstract

In this paper, maximum likelihood and Bayes estimates of the parameters for Burr type
X distribution based on doubly type II censored sample of dual generalized order statistics are
obtained. Two different cases are considered. In the first case, the shape parameter is estimated
when the scale parameter is known while in the second case the estimators for scale and shape
parameters are obtained when both parameters are assumed to be unknown. For Bayesian estimation, Monte Carlo Integration is used to improve the approximation of resulting integrals. Simulation studies are conducted to demonstrate the efficiency of the proposed methods through two
special cases.

DOI

10.21608/joems.2015.382549

Keywords

Burr type X distribution, dual generalized order statistics, Maximum Likelihood Method, Bayesian estimation, Monte Carlo simulation, Monte Carlo Integration

Authors

First Name

Abd EL-Baset A.

Last Name

Ahmad

MiddleName

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Affiliation

Dept. of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt

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First Name

Magdy E.

Last Name

El-Adll

MiddleName

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Affiliation

Dept. of Mathematics and Statistics, Faculty of Science, Helwan University, Ain Helwan, Cairo, Egypt1, Dept. of Mathematics, Faculty of Science, Taibah University, Madinah, Saudi Arabia

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Orcid

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First Name

Tahani A.

Last Name

ALOaf

MiddleName

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Affiliation

Dept. of Mathematics and Statistics, Faculty of Science, Taif University, Taif, Saudi Arabia

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Volume

23

Article Issue

2

Related Issue

50528

Issue Date

2015-07-01

Receive Date

2024-09-29

Publish Date

2015-07-01

Page Start

391

Page End

396

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_382549.html

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https://joems.journals.ekb.eg/service?article_code=382549

Order

382,549

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Estimation under Burr type X distribution based on doubly type II censored sample of dual generalized order statistics

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Article

Created At

21 Dec 2024