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The McDonald extended distribution: properties and applications

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Abstract

We study a five-parameter lifetime distribution called the McDonald extended exponential model to generalize the exponential, generalized exponential, Kumaraswamy exponential and beta exponential distributions, among others. We obtain explicit expressions for the moments and incomplete moments, quantile and generating functions, mean deviations, Bonferroni and Lorenz curves and Gini concentration index. The method of maximum likelihood and a Bayesian procedure are adopted for estimating the model parameters. The applicability of the new model is illustrated by means of a real data set.

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Authors and Affiliations

  1. Departamento de Estatística, Universidade Federal de Pernambuco, 52171-900, Recife, PE, Brazil

    Gauss M. Cordeiro

  2. Departamento de Ciências Exatas, Universidade de São Paulo, 13418-900, Piracicaba, SP, Brazil

    Elizabeth M. Hashimoto, Edwin M. M. Ortega & Marcelino A. R. Pascoa

Authors
  1. Gauss M. Cordeiro
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  2. Elizabeth M. Hashimoto
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  3. Edwin M. M. Ortega
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  4. Marcelino A. R. Pascoa
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Corresponding author

Correspondence to Edwin M. M. Ortega.

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Cordeiro, G.M., Hashimoto, E.M., Ortega, E.M.M. et al. The McDonald extended distribution: properties and applications. AStA Adv Stat Anal 96, 409–433 (2012). https://doi.org/10.1007/s10182-011-0180-3

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  • DOI: https://doi.org/10.1007/s10182-011-0180-3

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