On A New Two Parameter Fréchet Distribution with Applications

Rania H. M. Abdelkhalek

doi:10.18187/pjsor.v17i1.2991

Author(s)

Rania H. M. Abdelkhalek Department of Statistics, Mathematics and Insurance, Benha University, Egypt.

Abstract

A new flexible extension of the Fréchet model is proposed and studied. Some of its fundamental statistical properties are derived. The importance of the new model is shown via two applications to real data sets. We assess the performance of the maximum likelihood estimations of the new distribution with respect to sample size n. The assessment was based on a simulation study. The new model is much better than other important competitive models.

Publication Details

Page(s) 99-112

DOI 10.18187/pjsor.v17i1.2991

Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 1, Year: 2021

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Keywords

Fréchet distribution, Simulation, Order statistics, Probability Weighted Moments, Lomax G family, Modeling Data