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The Kumaraswamy Gompertz Distribution
Volume 13, Issue 2 (2015), pp. 241–260
Raquel C. da Silva   Jeniffer J. D. Sanchez   Fábio P. Lima     All authors (4)

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https://doi.org/10.6339/JDS.201504_13(2).0002
Pub. online: 4 August 2022      Type: Research Article      Open accessOpen Access

Published
4 August 2022

Abstract

We introduce the four-parameter Kumaraswamy Gompertz distribution. We obtain the moments, generating and quantilefunctions, Shannon and Rényi entropies, mean deviations and Bonferroni and Lorenz curves. We provide a mixture representation for the density function of the order statistics. We discuss the estimation of the model parameters by maximum likelihood. We provide an application a real data set that illustrates the usefulness of the new model.

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Keywords
Maximum likelihood Mean deviation Moment Survival data Quantile function

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Journal of data science

  • Online ISSN: 1683-8602
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