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196517

Topp-Leone Lomax Distribution

Article

Last updated: 03 Jan 2025

Subjects

-

Tags

Mathematics

Abstract

 A new compound distribution is extended in this article, the Lomax distribution by using the Topp-Leone generated family. The statistical properties as Quantile function, moments and distribution of order statistics are studied. Maximum likelihood method is discussed and the element of the information matrix, differential entropy are provided. Simulation study is conducted to assess the performance of the parameters of Topp Leone Lomax distribution. An application is used to show that our distribution is better than one based on the Lomax and Exponentiated Lomax distribution.

DOI

10.21608/absb.2021.52718.1095

Keywords

Topp-Leone, Lomax distribution, Moment Generating function, the differential entropy, Information matrix, simulation study

Authors

First Name

Salwa

Last Name

Radwan

MiddleName

Said

Affiliation

Mathematical Department ,Faculty of science Al-Azhar university (Girls section)

Email

salwa_1977@hotmail.com

City

-

Orcid

-

Volume

32

Article Issue

Issue 1-B

Related Issue

27771

Issue Date

2021-06-01

Receive Date

2021-01-03

Publish Date

2021-09-27

Page Start

17

Page End

25

Print ISSN

1110-2535

Online ISSN

2636-3305

Link

https://absb.journals.ekb.eg/article_196517.html

Detail API

https://absb.journals.ekb.eg/service?article_code=196517

Order

3

Type

Original Article

Type Code

520

Publication Type

Journal

Publication Title

Al-Azhar Bulletin of Science

Publication Link

https://absb.journals.ekb.eg/

MainTitle

Topp-Leone Lomax Distribution

Details

Type

Article

Created At

22 Jan 2023