425948

Statistical Investigations of Sarmanov Bivariate Weibull Distribution with Application to Medical Data

Article

Last updated: 11 May 2025

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Abstract

The Weibull distribution is highly versatile and capable of fitting various shapes of datasets. It is similar to the normal distribution, which is a unimodal distribution that represents probabilities for continuous data. This distribution is often considered the most fundamental and elementary lifespan distribution. This work utilizes the Sarmanov copula and Weibull marginal distribution to construct a bivariate distribution known as the bivariate Weibull Sarmanov distribution (BW-SARD). The statistical characteristics of the BW-SARD are examined, including marginal distributions, product moment, moment generating function, coefficient of correlation between the inner variables, conditional distributions, and conditional expectation. In addition, we calculate various reliability measures, including the hazard rate function, reversed hazard rate function, positive quadrant dependence property, mean residual life function, and vitality function. Model parameter estimation is conducted using the maximum likelihood and Bayesian approaches. Ultimately, genuine data collection is presented, and examined to explore the model, and valuable outcomes are acquired for illustrative intentions

DOI

10.21608/bfszu.2024.298238.1401

Keywords

Bivariate Weibull distribution, Sarmanov family, Maximum likelihood estimation, Bayesian estimation, Confidence intervals

Authors

First Name

ghada

Last Name

mansour

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

Email

ghmohamedmansour@gmail.com

City

-

Orcid

-

First Name

H. M.

Last Name

Barakat

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

Email

hbarakat2@hotmail.com

City

-

Orcid

-

First Name

Metwally

Last Name

Alawady

MiddleName

Alsayed

Affiliation

Mathematics Department, Faculty of Science, Zagazig Univesity

Email

ma_alawady@yahoo.com

City

-

Orcid

-

First Name

I. A.

Last Name

Husseiny

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

Email

ishusseiny@gmail.com

City

-

Orcid

-

Volume

2025

Article Issue

1

Related Issue

55524

Issue Date

2025-04-01

Receive Date

2024-06-20

Publish Date

2025-04-01

Page Start

124

Page End

140

Print ISSN

1110-1555

Online ISSN

3062-5416

Link

https://bfszu.journals.ekb.eg/article_425948.html

Detail API

http://journals.ekb.eg?_action=service&article_code=425948

Order

45

Type

Original Article

Type Code

838

Publication Type

Journal

Publication Title

Bulletin of Faculty of Science, Zagazig University

Publication Link

https://bfszu.journals.ekb.eg/

MainTitle

Statistical Investigations of Sarmanov Bivariate Weibull Distribution with Application to Medical Data

Details

Type

Article

Created At

11 May 2025