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170635

The exponentiated Akash distribution with properties and applications

Article

Last updated: 24 Dec 2024

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Tags

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Abstract

In this study, a new two-parameter lifetime distribution named the exponentiated Akash distribution is introduced and studied. Akash distribution is considered an extension of the lindly distribution and can be easily expressed as a mixture of an exponential distribution with scale parameter (θ) and a gamma distribution with shape parameter equal 3 and scale parameter θ . The reliability (survival) function, hazard rate function (also known as the failure rate function), the reversed hazard rate and the cumulative hazard rate function of the new distribution are obtained. Some statistical properties of the exponentiated Akash distribution such as the moments, moment generating function, order statistics, Renyi entropy and quantile function are derived. The method of maximum likelihood is used to estimate the unknown parameters of this distribution. Finally, the performance of this new distribution is examined using some real life data sets to show its flexibility and better goodness of fit as compared with other lifetime distributions such as Akash and exponential based on the Akaike information criterion.

DOI

10.21608/jsst.2021.67417.1234

Keywords

Keywords: exponetiated Akash distribution, Moment Generating function, Order Statistics, Renyi entropy, Maximum likelihood estimation

Authors

First Name

عبد الرحيم

Last Name

بسيوني

MiddleName

-

Affiliation

الجامعة العمالية

Email

abdelreheembasuony@gmail.com

City

کفر الشيخ

Orcid

-

First Name

نصر

Last Name

رشوان

MiddleName

-

Affiliation

استاذ ورئيس قسم الاحصاء کلية التجارة جامعة طنطا

Email

nasr.abouzaid@commerce.tanta.edu.eg

City

طنطا

Orcid

-

Volume

22

Article Issue

3

Related Issue

23139

Issue Date

2021-07-01

Receive Date

2021-03-12

Publish Date

2021-07-01

Page Start

435

Page End

445

Print ISSN

2090-5327

Online ISSN

2682-3543

Link

https://jsst.journals.ekb.eg/article_170635.html

Detail API

https://jsst.journals.ekb.eg/service?article_code=170635

Order

12

Type

المقالة الأصلية

Type Code

1,048

Publication Type

Journal

Publication Title

مجلة البحوث المالية والتجارية

Publication Link

https://jsst.journals.ekb.eg/

MainTitle

The exponentiated Akash distribution with properties and applications

Details

Type

Article

Created At

22 Jan 2023