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314840

Characterizations of Weibull, Rayleigh and Maxwell Distributions Using Truncated Moments and Order Statistics

Article

Last updated: 05 Jan 2025

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Abstract

We obtain necessary and sufficient conditions for a life distribution to follow a mixture of two Weibulls as well as Maxwell distributions. Our results extend particular results of Khan et. al. (1983) regarding Weibull distributions and the result of Nassar and Mahmoud (1985) regarding mixture of two exponentials. A characterization of a mixture of two Rayleigh distributions follows as a special case.

DOI

10.21608/esju.1993.314840

Keywords

Characterization, Conditional Expectation, Mixture of Two Distributions, Weibull distribution, Rayleigh distribution, Maxwell Distribution

Authors

First Name

Samia

Last Name

El-Arishy

MiddleName

M.

Affiliation

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Orcid

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Volume

37

Article Issue

2

Related Issue

43176

Issue Date

1993-12-01

Receive Date

2023-08-28

Publish Date

1993-12-01

Page Start

198

Page End

212

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314840.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314840

Order

3

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Characterizations of Weibull, Rayleigh and Maxwell Distributions Using Truncated Moments and Order Statistics

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Article

Created At

28 Dec 2024