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Abstract

In this paper, we study a new model called the Burr X exponentiated Frechet Distribution. The new model exhibits unimodal, unimodal then buthtab and buthtab hazard rates. Various properties of the new model are explored including moments, generating function, probability weighted moments, Stress-strength model and order statisics. The maximum likelihood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimates are discussed. We compare the flexibility of the proposed model with other extensions of the Frechet distribution by means of two real data sets.

Keywords

Burr X Family FrØchet distribution maximum likelihood Simulation

Article Details

How to Cite
Zayed, M., & Butt, N. S. (2017). The Extended Fréchet Distribution: Properties and Applications. Pakistan Journal of Statistics and Operation Research, 13(3), 529-543. https://doi.org/10.18187/pjsor.v13i3.2058