Beta
ManageSearchChatDiscover
384804

The Kumaraswamy Marshal-Olkin family of distributions

Article

Last updated: 31 Dec 2024

OverviewSimilar Items

Subjects

-

Tags

-

Abstract

We introduce a new family of continuous distributions called the Kumaraswamy
Marshal-Olkin generalized family of distributions. We study some mathematical properties of this
family. Its density function is symmetrical, left-skewed, right-skewed and reversed-J shaped, and
has constant, increasing, decreasing, upside-down bathtub, bathtub and S-shaped hazard rate. We
present some special models and investigate the asymptotics and shapes of the family. We derive
a power series for the quantile function and obtain explicit expressions for the moments, generating
function, mean deviations, two types of entropies and order statistics. Some useful characterizations
of the family are also proposed. The method of maximum likelihood is used to estimate the model
parameters. We illustrate the importance of the family by means of two applications to real data sets. 

DOI

10.1016/j.joems.2014.12.002

Keywords

KEYWORDS Characterization, Estimation, Fre´chet distribution, Kumaraswamy distribution, Marshall-Olkin family, Weibull distribution

Authors

First Name

Morad

Last Name

Alizadeh

MiddleName

-

Affiliation

Department of Statistics, Ferdowsi University of Mashhad, Mashhad, P.O. Box. 91775-1159, Iran

Email

-

City

-

Orcid

-

First Name

M.H.

Last Name

Tahir

MiddleName

-

Affiliation

Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan

Email

-

City

-

Orcid

-

First Name

Gauss M.

Last Name

Cordeiro

MiddleName

-

Affiliation

Department of Statistics, Federal University of Pernambuco, 50740-540 Recife, PE, Brazil

Email

-

City

-

Orcid

-

First Name

M.

Last Name

Mansoor

MiddleName

-

Affiliation

Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan

Email

-

City

-

Orcid

-

First Name

M.

Last Name

Zubair

MiddleName

-

Affiliation

Department of Statistics, Government Degree College Khairpur Tamewali, Pakistan

Email

-

City

-

Orcid

-

First Name

G.G.

Last Name

Hamedani

MiddleName

-

Affiliation

Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, USA

Email

-

City

-

Orcid

-

Volume

23

Article Issue

3

Related Issue

50853

Issue Date

2015-10-01

Receive Date

2024-10-08

Publish Date

2015-10-01

Page Start

546

Page End

557

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 3_Pages 546-557.pdf

PDF . 750.7kB

Link

https://joems.journals.ekb.eg/article_384804.html

Detail API

https://joems.journals.ekb.eg/service?article_code=384804

Order

384,804

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

The Kumaraswamy Marshal-Olkin family of distributions

Details

Type

Article

Created At

21 Dec 2024