A new extension of the Fréchet distribution: Properties and its characterization

Zohdy M. Nofal and M. Ahsanullah

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 9, 2267-2285

Abstract: A new lifetime model, which extends the Fréchet distribution called the generalized transmuted Fréchet distribution is proposed and studied. Various of its structural properties including ordinary and incomplete moments, generating function, residual and reversed residual lifes, order statistics and probability weighted moments are derived. Two characterization theorems are presented. The maximum likelihood method is used to estimate the model parameters. The flexibility of the new distribution is illustrated using a real data set. It can serve as an alternative model to other lifetime models available in the literature for modeling positive real data in many areas.

Date: 2019
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DOI: 10.1080/03610926.2018.1465080

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