The modified Fréchet distribution and its properties

Claudio J. Tablada and Gauss M. Cordeiro

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 21, 10617-10639

Abstract: The Fréchet distribution is an absolutely continuous model which has wide applicability in extreme value theory. In this paper, we propose a new three-parameter model, so-called the modified Fréchet distribution, to extend the Fréchet distribution. By using the Lambert function, we obtain some properties of the new distribution. We provide a simulation study to illustrate the performance of the maximum likelihood estimates. The flexibility of the introduced distribution is illustrated by means of a real data set. We use some goodness-of-fit statistics to verify the adequacy of the proposed model. We prove empirically that it is appropriate for lifetime applications.

Date: 2017
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DOI: 10.1080/03610926.2016.1239115

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