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382871

Reliability estimation under type-II censored data from the generalized Bilal distribution

Article

Last updated: 05 Jan 2025

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Abstract

The main object of this article is the estimation of the unknown population parameters
and the reliability function for the generalized Bilal model under type-II censored data.
Both maximum likelihood and Bayesian estimates are considered. In the Bayesian
framework, although we have discussed mainly the squared error loss function, any
other loss function can easily be considered. Gibb's sampling procedure is used to
draw Markov Chain Monte Carlo (MCMC) samples, which have been used to compute
the Bayes estimates and also to construct their corresponding credible intervals with
the help of two different importance sampling techniques. A simulation study is carried
out to examine the accuracy of the resulting Bayesian estimates and compare them
with their corresponding maximum likelihood estimates. Application to a real data set
is considered for the sake of illustration

DOI

10.1186/s42787-019-0001-5

Authors

First Name

Ayman

Last Name

Abd-Elrahman

MiddleName

M.

Affiliation

Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

Email

ayman275@aun.edu.eg

City

-

Orcid

-

Volume

27

Article Issue

1

Related Issue

50652

Issue Date

2019-12-01

Receive Date

2024-09-30

Publish Date

2019-12-01

Page Start

1

Page End

15

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_382871.html

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https://joems.journals.ekb.eg/service?article_code=382871

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Reliability estimation under type-II censored data from the generalized Bilal distribution

Details

Type

Article

Created At

21 Dec 2024