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