Alpha Power Transformed Frechet Distribution

Authors

Suleman Nasiru, Department of Statistics, Faculty of Mathematical Sciences, University for Development Studies, Tamale, Ghana, West Africa.\\ Institute for Basic Sciences, Technology and Innovation.Pan African University, P. O. Box 62000-00200, Nairobi, Kenya.Follow
Peter N. Mwita, Department of Mathematics, Machakos University, P. O. Box 136-90100, Machakos, Kenya.Follow
Oscar Ngesa, Mathematics and Informatics Department, Taita Taveta University, P. O. Box 635-80300, Voi, Kenya.Follow

Author Country (or Countries)

Kenya.

Abstract

The Fr´echet distribution has several applications in different fields of study and is most commonly used for modeling extreme events. In recent time, modifications of the Fr´echet distribution have been proposed to improve its fit when used for modeling lifetime data. In this paper, a new modification called the alpha power transformed Fr´echet distribution is proposed and studied. The parameters of the model are estimated using maximum-likelihood estimation and simulation studies are performed to investigate the properties of the estimators for the parameters. Applications of the model are demonstrated using two-real data sets. Finally, bivariate and multivariate extensions of the model are proposed using copulas.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130117

Recommended Citation

Nasiru, Suleman; N. Mwita, Peter; and Ngesa, Oscar (2019) "Alpha Power Transformed Frechet Distribution," Applied Mathematics & Information Sciences: Vol. 13: Iss. 1, Article 17.
DOI: http://dx.doi.org/10.18576/amis/130117
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss1/17