The extended Fréchet distribution: Properties and applications. Zayed, M. & Butt, N., S. Pakistan Journal of Statistics and Operation Research, 13(3):529-543, 2017.
The extended Fréchet distribution: Properties and applications [link]Website  doi  abstract   bibtex   
In this paper, we study a new model called the Burr X exponentiated Fréchet 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 Fréchet distribution by means of two real data sets.
@article{
 title = {The extended Fréchet distribution: Properties and applications},
 type = {article},
 year = {2017},
 keywords = {Burr X family,Fréchet distribution,Maximum likelihood,Simulation},
 pages = {529-543},
 volume = {13},
 websites = {http://pjsor.com/index.php/pjsor/article/view/2058},
 id = {a9eee0eb-ddfb-305e-8e40-352c57549808},
 created = {2018-04-04T19:42:08.781Z},
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 profile_id = {49efd9d1-b84a-3562-b8db-36e64ac7ba81},
 last_modified = {2021-03-11T17:08:33.970Z},
 read = {false},
 starred = {false},
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 citation_key = {Zayed2017},
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 abstract = {In this paper, we study a new model called the Burr X exponentiated Fréchet 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 Fréchet distribution by means of two real data sets.},
 bibtype = {article},
 author = {Zayed, Mohamed and Butt, Nadeem Shafique},
 doi = {10.18187/pjsor.v13i3.2058},
 journal = {Pakistan Journal of Statistics and Operation Research},
 number = {3}
}

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