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314340

Some Inferences on Three Parameters Birnbaum-Saunders Distribution: Statistical Properties, Characterizations and Applications

Article

Last updated: 05 Jan 2025

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Subjects

-

Tags

Applied Mathematics
Mathematical Statistics

Abstract

Three parameters Birnbaum-Saunders, BS (3P), distribution is an important statistical model which is useable in the fields of both pure and applied sciences. Since its inception, Birnbaum-Saunders (BS) distribution has received a considerable attention in view of its wide applications in many areas of research in applied sciences, such as engineering science, earth science, environmental science, medical science, material fatigue and reliability studies. The objective of this paper is a statistical analysis of the three parameter Birnbaum-Saunders, BS (3P), distribution and to draw some inferences on it. Several new distributional properties of this distribution have been discussed. Based on these distributional properties, we have established several new characterization results of the three-parameter Birnbaum-Saunders distribution. Finally, applications to some real-life data sets are analyzed to show the usefulness of this distribution.  The results of this article will be useful for the researchers, scientists, and statisticians in fields of theoretical and applied sciences.

DOI

10.21608/cjmss.2023.224583.1011

Keywords

Birnbaum-Saunders Distribution, Characterizations, Estimation, Reliability, Truncated Moment

Authors

First Name

Mohammad

Last Name

Shakil

MiddleName

-

Affiliation

Professor of Mathematics / Statistics, DEPARTMENT OF LIBERAL ARTS AND SCIENCES - Mathematics / Statistics, Miami Dade College, Hialeah Campus, 1780 West 49th Street, Fl. 33024, USA

Email

mshakil@mdc.edu

City

Cooper City

Orcid

-

First Name

Mohammad

Last Name

Munir

MiddleName

-

Affiliation

Math Dept., Govt. Postgraduate College, Abbottabad, Pakistan

Email

dr.mohammadmunir@gmail.com

City

-

Orcid

0000-0002-4891-2995

First Name

N.

Last Name

Kausar

MiddleName

-

Affiliation

Yildiz Tech. University, Dept. of Math., İstanbul, Turkey

Email

kausar.nasreen57@gmail.com

City

-

Orcid

-

First Name

Mohammad

Last Name

Ahsanullah

MiddleName

-

Affiliation

Department of Management Sciences, Professor Emeritus, Rider University, NJ, USA

Email

ahsan@rider.edu

City

NJ

Orcid

-

First Name

Aneeqa

Last Name

Khadim

MiddleName

-

Affiliation

Department of Mathematics, Mirpur University of Science & Technology, Mirpur, Pakistan

Email

aneeqa89@gmail.com

City

Mirpur

Orcid

-

First Name

M.

Last Name

Sirajo

MiddleName

-

Affiliation

Dept. of Stat., Ahmadu Bello University, Zaria, Nigeria

Email

musaddiqsirajo@gmail.com

City

-

Orcid

0000000182718590

First Name

Jai

Last Name

Singh

MiddleName

Narain

Affiliation

Department of Mathematics & Computer Sciences, Barry University, Miami Shores, FL, USA

Email

jsingh@barry.edu

City

Miami Shores

Orcid

-

First Name

B. M. G.

Last Name

Kibria

MiddleName

-

Affiliation

Professor, Department of Mathematics and Statistics, Florida International University, FIU, Miami, USA

Email

kibriag@fiu.edu

City

Miami

Orcid

-

Volume

2

Article Issue

2

Related Issue

40924

Issue Date

2023-11-01

Receive Date

2023-07-24

Publish Date

2023-11-01

Page Start

197

Page End

222

Print ISSN

2974-3435

Online ISSN

2974-3443

Article File

CJMSS_Volume 2_Issue 2_Pages 197-222.pdf

PDF . 2.2MB

Link

https://cjmss.journals.ekb.eg/article_314340.html

Detail API

https://cjmss.journals.ekb.eg/service?article_code=314340

Order

314,340

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

Some Inferences on Three Parameters Birnbaum-Saunders Distribution: Statistical Properties, Characterizations and Applications

Details

Type

Article

Created At

29 Dec 2024