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Generalized beta-generated distributions

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Author Info

  • Alexander, Carol
  • Cordeiro, Gauss M.
  • Ortega, Edwin M.M.
  • Sarabia, José María

Abstract

This article introduces generalized beta-generated (GBG) distributions. Sub-models include all classical beta-generated, Kumaraswamy-generated and exponentiated distributions. They are maximum entropy distributions under three intuitive conditions, which show that the classical beta generator skewness parameters only control tail entropy and an additional shape parameter is needed to add entropy to the centre of the parent distribution. This parameter controls skewness without necessarily differentiating tail weights. The GBG class also has tractable properties: we present various expansions for moments, generating function and quantiles. The model parameters are estimated by maximum likelihood and the usefulness of the new class is illustrated by means of some real data sets.

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Bibliographic Info

Article provided by Elsevier in its journal Computational Statistics & Data Analysis.

Volume (Year): 56 (2012)
Issue (Month): 6 ()
Pages: 1880-1897

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Handle: RePEc:eee:csdana:v:56:y:2012:i:6:p:1880-1897

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Web page: http://www.elsevier.com/locate/csda

Related research

Keywords: Entropy; Exponentiated; Kumaraswamy; Kurtosis; McDonald; Minimax; Skewness;

References

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Cited by:
  1. Saralees Nadarajah & Gauss Cordeiro & Edwin Ortega, 2013. "The exponentiated Weibull distribution: a survey," Statistical Papers, Springer, vol. 54(3), pages 839-877, August.

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