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258075

The New Bivariate Odd Generalized Exponential Modified Weibull Distribution with Application

Article

Last updated: 25 Dec 2024

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Abstract

In this paper, we introduce a new bivariate odd generalized exponential modified Weibull (BOGEMW) distribution. This model includes some other well-known models such as the Weibull, generalized Weibull, exponential Weibull, Odd Generalized Exponential, and Modified Weibull distribution. The model introduced here is of Marshall and Olkin (1967) type. The marginals of the new bivariate distribution have odd generalized exponential modified Weibull distribution which proposed by Abdelall (2016). The joint probability density function and the joint cumulative distribution function are given in closed forms. Several properties of the new distribution are studied. The method of maximum likelihood is used for estimating the model parameters and the observed Fisher's information matrix is derived. We also conduct Monte Carlo simulation experiments to assess the finite sample properties of the proposed estimation methods. We prove empirically the importance and flexibility of the new model in modeling various types of data.

DOI

10.21608/cfdj.2023.258075

Keywords

Bivariate distribution, Maximum likelihood estimation, modified Weibull distribution, Odd Generalized Exponential, Simulation

Authors

First Name

مرفت مهدي رمضان

Last Name

مهدي

MiddleName

-

Affiliation

قسم الاخصاء، الرياضة والتأمين کلية التجارة جامعة بنها

Email

drmervat.mahdy@fcom.bu.edu.eg

City

-

Orcid

0000-0003-0949-7693

First Name

اسماء

Last Name

عبدالفتاح

MiddleName

-

Affiliation

کلية التجارة جامعة بنها

Email

mervat_em@yahoo.com

City

-

Orcid

-

First Name

دينا

Last Name

سمير التلباني

MiddleName

-

Affiliation

قسم الإحصاء والرياضة والتأمين کلية التجارة جامعة بنها

Email

dina.eltelbany@fcom.bu.edu.eg

City

-

Orcid

0000-0002-9850-4631

Volume

4

Article Issue

1

Related Issue

36526

Issue Date

2023-01-01

Receive Date

2022-06-27

Publish Date

2023-01-01

Page Start

927

Page End

966

Print ISSN

2682-3403

Online ISSN

2682-4531

Link

https://cfdj.journals.ekb.eg/article_258075.html

Detail API

https://cfdj.journals.ekb.eg/service?article_code=258075

Order

31

Type

المقالة الأصلية

Type Code

1,242

Publication Type

Journal

Publication Title

المجلة العلمية للدراسات والبحوث المالية والتجارية

Publication Link

https://cfdj.journals.ekb.eg/

MainTitle

The New Bivariate Odd Generalized Exponential Modified Weibull Distribution with Application

Details

Type

Article

Created At

22 Jan 2023