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The Kumaraswamy Transmuted-G Family of Distributions: Properties and Applications
Volume 14, Issue 2 (2016), pp. 245–270
Ahmed Z. Afify   Gauss M. Cordeiro   Haitham M. Yousof     All authors (5)

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https://doi.org/10.6339/JDS.201604_14(2).0004
Pub. online: 4 August 2022      Type: Research Article      Open accessOpen Access

Published
4 August 2022

Abstract

Abstract: We introduce a new class of continuous distributions called the Ku maraswamy transmuted-G family which extends the transmuted class defined by Shaw and Buckley (2007). Some special models of the new family are provided. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived. The maximum likelihood is used for estimating the model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets.

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Keywords
Generating Function Kumaraswamy-G Family Maximum Likelihood

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