Journal of Statistical Theory and Applications

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Volume 18, Issue 4, December 2019, Pages 329 - 342

The Generalized Kumaraswamy-G Family of Distributions

Authors
Zohdy M. Nofal1, Emrah Altun2, Ahmed Z. Afify1, *, M. Ahsanullah3
1Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt
2Department of Statistics, Bartin University, Bartin, Turkey
3Department of Management Sciences, Rider University, Lawrenceville, NJ, USA
*Corresponding author. Email: ahmed.afify@fcom.bu.edu.eg
Corresponding Author
Ahmed Z. Afify
Received 6 June 2018, Accepted 19 January 2019, Available Online 20 November 2019.
DOI
10.2991/jsta.d.191030.001How to use a DOI?
Keywords
Kumaraswamy-G Family; Maximum Likelihood; Order Statistics; Regression
Abstract

We propose a new class of continuous distributions called the generalized Kumaraswamy-G family which extends the Kumaraswamy-G family defined by Cordeiro and de Castro [1]. Some special models of the new family are provided. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi entropy, order statistics and characterizations are derived. The new location-scale regression model is introduced based on the new generated distribution. The maximum likelihood is used for estimating the model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets.

Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Next Article In Issue>
Journal
Journal of Statistical Theory and Applications
Volume-Issue
18 - 4
Pages
329 - 342
Publication Date
2019/11/20
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.191030.001How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Zohdy M. Nofal
AU  - Emrah Altun
AU  - Ahmed Z. Afify
AU  - M. Ahsanullah
PY  - 2019
DA  - 2019/11/20
TI  - The Generalized Kumaraswamy-G Family of Distributions
JO  - Journal of Statistical Theory and Applications
SP  - 329
EP  - 342
VL  - 18
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.191030.001
DO  - 10.2991/jsta.d.191030.001
ID  - Nofal2019
ER  -