Bivariate and Multivariate Weighted Kumaraswamy Distributions: Theory and Applications

DOI

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/).

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TY  - JOUR
AU  - Indranil Ghosh
PY  - 2019
DA  - 2019/09/16
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  - 10.2991/jsta.d.190619.001
ID  - Ghosh2019
ER  -