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Copyright (c) 2017 Pakistan Journal of Statistics and Operation Research

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Title

The Extended Fréchet Distribution: Properties and Applications

Keywords

Burr X Family, FrØchet distribution, maximum likelihood, Simulation

Description

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.


Date

2017-09-01

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 13 No. 3, 2017



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810