A new three parameter Fréchet model with mathematical properties and applications. Issue 1 (1st January 2020)

• Record Type: Journal Article
• Authors: Al-Babtain, Abdulhakim A.; Elbatal, I.; Yousof, Haitham M.
• Is Part Of: Journal of Taibah University for science. Volume 14:Issue 1(2020)
• Page Start: 265
• Page End: 278
• Publication Date: 2020-01-01
• Subjects: Fréchet distribution -- simulation -- Clayton copula -- Morgenstern family -- modelling -- entropies; Science -- Periodicals; Science; Periodicals; 505
• DOI: 10.1080/16583655.2020.1733767
• Languages: English
• ISSNs: 1658-3655

Abstract

Abstract : 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.