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278445

On the Extension of the Burr XII Distribution: Applications and Regression

Article

Last updated: 29 Dec 2024

Subjects

-

Tags

Applied Statistics and Econometrics
Mathematical Statistics
Statistical computing

Abstract

In this paper, we introduce a new four-parameter mixture distribution called the Harmonic Mixture Burr XII distribution. The proposed model can be used to model data which exhibit bimodal shapes or are heavy-tailed. Specific  properties like non-central and incomplete moments, quantile function, entropy, mean and median deviation, mean residual life, moment generating function, and stress-strength reliability are derived. Maximum likelihood estimation, ordinary least squares estimation, weighted least squares estimation, Cram\'{e}r-von Mises estimation, and Anderson-Darling estimation methods were used to estimate the parameters of the distribution. Simulation studies was performed to assess the estimators and the maximum likelihood estimation was adjudged the best estimator.  Using three sets of lifetime data, the empirical importance of the new distribution was determined. When compared to nine (9) extensions of the Burr XII distribution, it was clear that the proposed distribution fit the data better. Using the proposed model, a log-linear regression model called the log-harmonic mixture Burr XII is proposed. 

DOI

10.21608/cjmss.2023.181739.1000

Keywords

Burr XII distribution, heavy-tailed distribution, Simulation, applications, regression

Authors

First Name

SELASI

Last Name

OCLOO

MiddleName

KWAKU

Affiliation

University of Mines and Technology, Tarkwa.

Email

slsocloo@gmail.com

City

-

Orcid

0000-0001-6137-4717

First Name

LEWIS

Last Name

BREW

MiddleName

-

Affiliation

University of Mines and Technology, Tarkwa.

Email

lbrew@umat.edu.gh

City

TARKWA

Orcid

-

First Name

SULEMAN

Last Name

NASIRU

MiddleName

-

Affiliation

Department of Statistics, C.K. Tedam University of Technology and Applied Sciences, Ghana

Email

sulemanstat@gmail.com

City

NAVRONGO

Orcid

0000-0001-6652-4251

First Name

BENJAMIN

Last Name

ODOI

MiddleName

-

Affiliation

University of Mines and Technology, Tarkwa.

Email

bodoi@umat.edu.gh

City

TARKWA

Orcid

-

Volume

2

Article Issue

1

Related Issue

39256

Issue Date

2023-04-01

Receive Date

2022-12-20

Publish Date

2023-04-01

Page Start

1

Page End

30

Print ISSN

2974-3435

Online ISSN

2974-3443

Link

https://cjmss.journals.ekb.eg/article_278445.html

Detail API

https://cjmss.journals.ekb.eg/service?article_code=278445

Order

278,445

Type

Original Article

Type Code

2,545

Publication Type

Journal

Publication Title

Computational Journal of Mathematical and Statistical Sciences

Publication Link

https://cjmss.journals.ekb.eg/

MainTitle

On the Extension of the Burr XII Distribution: Applications and Regression

Details

Type

Article

Created At

29 Dec 2024