314459

A New Generalization of The Pareto Distribution: With Application

Article

Last updated: 27 Apr 2025

Subjects

-

Tags

Linear models
Simulation
Statistical inference

Abstract

This paper introduces a new generalization of the Pareto distribution, based on a new family of lifetime distribution by Mansour et al (2015). We refer to the new distribution as Kumaraswamy new transmuted Pareto (Kw-NTP) distribution. The new model contains some of lifetime distributions as special cases such as the transmuted Pareto, Kumaraswamy-transmuted exponentiated Pareto, exponentiated Pareto, and Pareto distributions, among others. The properties of the new model are discussed and the maximum likelihood estimation is used to evaluate the parameters. Explicit expressions are derived for the moments and examine the order statistics. An application to real data set is finally presented for illustration.
 

DOI

10.21608/esju.2015.314459

Keywords

Kumaraswamy distribution, Transmutation - Survival Function - Exponentiated Exponential - Order Statistics - Maximum Likelihood Estimation

Authors

First Name

Salah

Last Name

M. Mohamed

MiddleName

-

Affiliation

Cairo university, Egypt

Email

-

City

-

Orcid

-

First Name

Mahmoud

Last Name

M.Mansour

MiddleName

-

Affiliation

Benha university, Egypt

Email

-

City

-

Orcid

-

Volume

59

Article Issue

1

Related Issue

42963

Issue Date

2015-06-01

Publish Date

2015-06-01

Page Start

108

Page End

126

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314459.html

Detail API

http://journals.ekb.eg?_action=service&article_code=314459

Order

8

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

A New Generalization of The Pareto Distribution: With Application

Details

Type

Article

Created At

28 Dec 2024