Journal of Taibah University for Science (Jan 2020)

A new three parameter Fréchet model with mathematical properties and applications

  • Abdulhakim A. Al-Babtain,
  • I. Elbatal,
  • Haitham M. Yousof

DOI
https://doi.org/10.1080/16583655.2020.1733767
Journal volume & issue
Vol. 14, no. 1
pp. 265 – 278

Abstract

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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.

Keywords