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314810

Bayesian Estimation of the Parameters of the Burr Distribution with Progressively Censored Data

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Last updated: 05 Jan 2025

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Abstract

Based on progressively censored type I data, the posterior means, variances and covariance of the two (unknown) parameters of the Burr type XII distribution and its reliability and failure rate functions are obtained using approximate forms due to Lindley (1980) and Tierney et al (1986). Also Credible and shortest credible intervals for the parameters of a Burr type XII distribution are obtained using the approximate marginal posterior density form due to Tierney et al (1986). A numerical illustration for these new results is also given.

DOI

10.21608/esju.1995.314810

Keywords

Burr type XII distribution, Maximum likelihood, Bayes Approximation Forms: Lindley, Tierney and Kadane, Credible and Shortest Credible Intervals, Progressively Censored type I

Authors

First Name

M.

Last Name

El-Shahat

MiddleName

A.T.

Affiliation

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Orcid

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Volume

39

Article Issue

2

Related Issue

43172

Issue Date

1995-12-01

Receive Date

2023-08-27

Publish Date

1995-12-01

Page Start

190

Page End

206

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314810.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314810

Order

5

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Bayesian Estimation of the Parameters of the Burr Distribution with Progressively Censored Data

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Article

Created At

28 Dec 2024