A new three parameter Fréchet model with mathematical properties and applications

Journal of Taibah University for Science

I. Elbatal¹  Abdulhakim A. Al-Babtain²  Haitham M. Yousof³ 

[1] Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU);Department of Statistics and Operations Research, King Saud University;Department of Statistics, Mathematics and Insurance, Benha University;

关键词: fréchet distribution;    simulation;    clayton copula;    morgenstern family;    modelling;    entropies;   

DOI  :  10.1080/16583655.2020.1733767

来源: DOAJ

【 摘 要 】

A new three-parameter extension of the Fréchet model is proposed and studied. Some of its statistical properties are derived. A simple type Copula-based construction via Morgenstern family and via Clayton copula is used to derive many bivariate and multivariate extensions of the new model. We assessed the performance of the maximum likelihood estimators using a simulation study. The importance of the new model is shown via two applications to real data sets.

【 授权许可】

Unknown