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383458

A new generalization of the Pareto–geometric distribution

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Last updated: 31 Dec 2024

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Abstract

In this paper we introduce a new distribution called the beta Pareto–geometric. We provide
a comprehensive treatment of the mathematical properties of the proposed distribution and
derive expressions for its moment generating function and the rth generalized moment. We discuss
estimation of the parameters by maximum likelihood and obtain the information matrix that is easily
numerically determined. We also demonstrate its usefulness on a real data set.

DOI

10.1016/j.joems.2013.01.003

Keywords

Beta Distribution, Entropy, Information matrix, Maximum likelihood estimation, Pareto geometric distribution

Authors

First Name

M.

Last Name

Nassar

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo 11566, Egypt

Email

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City

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Orcid

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First Name

N.

Last Name

Nada

MiddleName

-

Affiliation

Operations LOB, E-Finance, Egypt

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Orcid

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Volume

21

Article Issue

2

Related Issue

50482

Issue Date

2013-08-01

Receive Date

2024-10-02

Publish Date

2013-08-01

Page Start

148

Page End

155

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 21_Issue 2_Pages 148-155.pdf

PDF . 681.1kB

Link

https://joems.journals.ekb.eg/article_383458.html

Detail API

https://joems.journals.ekb.eg/service?article_code=383458

Order

383,458

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Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

A new generalization of the Pareto–geometric distribution

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Type

Article

Created At

21 Dec 2024