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The Exponentiated Generalized Class of Distributions
Volume 11, Issue 1 (2013), pp. 1–27
Gauss M. Cordeiro   Edwin M. M. Ortega   Daniel C. C. da Cunha  

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https://doi.org/10.6339/JDS.2013.11(1).1086
Pub. online: 4 August 2022      Type: Research Article      Open accessOpen Access

Published
4 August 2022

Abstract

Abstract: We propose a new method of adding two parameters to a contin uous distribution that extends the idea first introduced by Lehmann (1953) and studied by Nadarajah and Kotz (2006). This method leads to a new class of exponentiated generalized distributions that can be interpreted as a double construction of Lehmann alternatives. Some special models are dis cussed. We derive some mathematical properties of this class including the ordinary moments, generating function, mean deviations and order statis tics. Maximum likelihood estimation is investigated and four applications to real data are presented.

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Keywords
Exponentiated distribution Kamp´e de F´eriet function Lauricella function

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