Journal of Statistical Theory and Applications

Volume 18, Issue 3, September 2019, Pages 198 - 211

Bivariate and Multivariate Weighted Kumaraswamy Distributions: Theory and Applications

Authors
Indranil Ghosh*
Department of Mathematics and Statistics, University of North Carolina, Wilmington, 601 S College Road, Wilmington, North Carolina 28403, USA
Corresponding Author
Indranil Ghosh
Received 15 August 2017, Accepted 27 November 2017, Available Online 16 September 2019.
DOI
https://doi.org/10.2991/jsta.d.190619.001How to use a DOI?
Keywords
Weighted distributions, Bivariate weighted Kumaraswamy distribution, Renyi entropy, Multivariate weighted Kumaraswamy distribution
Abstract

Weighted distributions (univariate and bivariate) have received widespread attention over the last two decades because of their flexibility for analyzing skewed data. In this paper, we derive the bivariate and multivariate weighted Kumaraswamy distributions via the construction method as discussed in B.C. Arnold, I. Ghosh, A. Alzaatreh, Commun. Stat. Theory Methods. 46 (2017), 8897–8912. Several structural properties of the bivariate weighted distributions including marginals, distributions of the minimum and maximum, reliability parameter, and total positivity of order two are discussed. We provide some multivariate extensions of the proposed bivariate weighted Kumaraswamy model. Two real-life data sets are used to show the applicability of the bivariate weighted Kumaraswamy distributions and is compared with other rival bivariate Kumaraswamy models.

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/).

Download article (PDF)
View full text (HTML)

Journal
Journal of Statistical Theory and Applications
Volume-Issue
18 - 3
Pages
198 - 211
Publication Date
2019/09
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.d.190619.001How 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

TY  - JOUR
AU  - Indranil Ghosh
PY  - 2019
DA  - 2019/09
TI  - Bivariate and Multivariate Weighted Kumaraswamy Distributions: Theory and Applications
JO  - Journal of Statistical Theory and Applications
SP  - 198
EP  - 211
VL  - 18
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.190619.001
DO  - https://doi.org/10.2991/jsta.d.190619.001
ID  - Ghosh2019
ER  -