Beta
347417

The Beta-Truncated Lomax Distribution with Communications Data

Article

Last updated: 28 Dec 2024

Subjects

-

Tags

Research and articles conducted by or in which members of the teaching staff

Abstract

The beta-truncated Lomax distribution is investigated (BTLD). The goal of this paper is to investigate an extension to Lomax distribution (LD) which is my new distribution  BTLD.  Also, the LD is a special case of the BTLD. Our distribution can be used as an alternative to the LD. For the BTLD, we obtain the probability density function (PDF), cumulative distribution function (CDF), moments, distribution of order statistics, and a single moment of order statistics. We derive PDF of BTLD minimum order statistics, the PDF of the biggest order statistics. The BTLD's random sum is discussed. An application of the model BTLD to communications real data set is presented to show the superiority of this new distribution by comparing the fitness with LD and exponential distribution. The survival function (SF), hazard function (HF), odd function (OF), reserved hazard function (RHF), moment generating function (MGF), and several moments are all deduced. We get some special cases.

DOI

10.21608/djs.2024.269855.1149

Keywords

Beta function, Lomax distribution, Truncated distribution, Random sum, Moments, Order Statistics, Communications data

Authors

First Name

Hanan

Last Name

EL-Damrawy

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Tanta University

Email

hanan.eldamarawi@science.tanta.edu.eg

City

-

Orcid

0000-0002-6625-1633

Volume

48

Article Issue

1

Related Issue

45470

Issue Date

2024-01-01

Receive Date

2024-02-13

Publish Date

2024-01-01

Page Start

135

Page End

144

Print ISSN

1012-5965

Online ISSN

2735-5306

Link

https://djs.journals.ekb.eg/article_347417.html

Detail API

https://djs.journals.ekb.eg/service?article_code=347417

Order

347,417

Type

Research and Reference

Type Code

1,686

Publication Type

Journal

Publication Title

Delta Journal of Science

Publication Link

https://djs.journals.ekb.eg/

MainTitle

The Beta-Truncated Lomax Distribution with Communications Data

Details

Type

Article

Created At

28 Dec 2024