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367843

Kumaraswamy Muth Distribution: Properties and Applications

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Last updated: 24 Dec 2024

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Abstract

         We presented a new three-parameter distribution known as the Kumaraswamy Muth distribution (KMD)  in this study. It extends the Muth distribution, a continuous random variable widely used in reliability theory. The KMD distribution and its mathematical properties are examined, including the derivation of the quantile function, probability density and distribution functions, moments, generating function, and order statistics. Model parameters are estimated using the maximum likelihood method, and practical applications are utilized to illustrate the versatility of the KMD distribution.

DOI

10.21608/jsfc.2023.367843

Keywords

Muth distribution, maximum likelihood estimation, Moment Generating function, Hazard rate, Kumaraswamy distribution function, order statistics and quantile function

Authors

First Name

Mahmoud Ali

Last Name

Selim

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First Name

Tamer Hassan Mohammed

Last Name

Ali

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First Name

Mohamed

Last Name

Abdelkader

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Volume

29

Article Issue

1

Related Issue

49262

Issue Date

2023-01-01

Receive Date

2024-07-17

Publish Date

2023-01-01

Page Start

107

Page End

124

Print ISSN

2636-3674

Article File

JSFC_Volume 29_Issue 1_Pages 107-124.pdf

PDF . 239.1kB

Link

https://jsfc.journals.ekb.eg/article_367843.html

Detail API

https://jsfc.journals.ekb.eg/service?article_code=367843

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367,843

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المقالة الأصلية

Type Code

761

Publication Type

Journal

Publication Title

المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر

Publication Link

https://jsfc.journals.ekb.eg/

MainTitle

Kumaraswamy Muth Distribution: Properties and Applications

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Article

Created At

24 Dec 2024