The Mc-Dagum Distribution and Its Statistical Properties with Applications

Authors

Broderick O. Oluyede, Georgia Southern UniversityFollow
Sasith Rajasooriya, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

2013

Publication Title

Asian Journal of Mathematics and Applications

ISSN

2307-7743

Abstract

In this paper, a new class of distributions called Mc-Dagum distribution is proposed. This class of distributions contains several distributions such as beta-Dagum, beta-Burr III, beta-Fisk, Dagum, Burr III and Fisk distributions as special cases. The hazard function, reverse hazard function, moments, mean residual life function, Renyi entropy and Fisher information are obtained. Lorenz, Bonferroni and Zenga curves are derived. Maximum likelihood estimates of the model parameters and numerical examples are given to illustrate the usefulness of the proposed class of distributions.

Comments

This article was retrieved from the Asian Journal of Mathematics and Applications, which provides immediate open access to all of its content.

Recommended Citation

Oluyede, Broderick O., Sasith Rajasooriya. 2013. "The Mc-Dagum Distribution and Its Statistical Properties with Applications." Asian Journal of Mathematics and Applications, 2013: 1-16. source: http://scienceasia.asia/index.php/ama/article/view/85
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/136