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369020

A Skew Product Distribution with Applications

Article

Last updated: 05 Jan 2025

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Subjects

-

Tags

Mathematical Statistics

Abstract

      The Rayleigh and error function distributions arise in many problems of applied and physical sciences. In this paper, we derive a skew type product Rayleigh-Error Function distribution by taking the product of the probability density function of Rayleigh distribution and the cumulative distribution function of the error function distribution. Several characteristics of the new distribution are presented by providing its distributional properties, namely, the expression for its probability density function, cumulative distribution function, hazard function, moments, and Shannon entropy. To discuss the behavior of the proposed distribution, the corresponding graphs of its probability density function, cumulative distribution function, and hazard function are provided. The percentage points are also computed. Some characterizations, estimation of parameters, and simulation are presented. Also, d two real-life environmental data applications are provided. We observed that our proposed skew type product Rayleigh-Error Function distribution fits reasonably well to the datasets considered. We believe that our proposed skew product model would be useful to the practitioners in various research fields of applied, physical, environmental and other sciences. 

DOI

10.21608/cjmss.2024.283619.1049

Keywords

Error Function, Product Distribution, Rayleigh distribution

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

Tassaddaq

Last Name

Hussain

MiddleName

-

Affiliation

Mirpur University of Science and Technology (MUST), 10250 Mirpur (AJK), Pakistan.

Email

tafkho2000@gmail.com

City

Mirpur

Orcid

-

First Name

Zahid Ur

Last Name

Rehman

MiddleName

-

Affiliation

Department of Statistics, Mirpur University of Science and Technology (MUST), Mirpur, Pakistan

Email

zahid.ms@must.edu.pk

City

Mirpur

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

Musaddiq

Last Name

Sirajo

MiddleName

-

Affiliation

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

Email

musaddiqsirajo@gmail.com

City

Zaria

Orcid

0000000182718590

First Name

J. N.

Last Name

Singh

MiddleName

-

Affiliation

Barry University, Dept. of Math & Comp. Sc., Miami Shores, FL, USA

Email

jsingh@mail.barry.edu

City

Miami Shores

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

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

3

Article Issue

2

Related Issue

47327

Issue Date

2024-11-01

Receive Date

2024-04-18

Publish Date

2024-11-01

Page Start

432

Page End

453

Print ISSN

2974-3435

Online ISSN

2974-3443

Article File

CJMSS_Volume 3_Issue 2_Pages 432-453.pdf

PDF . 541.9kB

Link

https://cjmss.journals.ekb.eg/article_369020.html

Detail API

https://cjmss.journals.ekb.eg/service?article_code=369020

Order

369,020

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

A Skew Product Distribution with Applications

Details

Type

Article

Created At

29 Dec 2024