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The McDonald extended distribution: properties and applications

Author

Listed:
  • Gauss Cordeiro
  • Elizabeth Hashimoto
  • Edwin Ortega
  • Marcelino Pascoa

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. Copyright Springer-Verlag 2012

Suggested Citation

  • Gauss Cordeiro & Elizabeth Hashimoto & Edwin Ortega & Marcelino Pascoa, 2012. "The McDonald extended distribution: properties and applications," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 96(3), pages 409-433, July.
    • Handle: RePEc:spr:alstar:v:96:y:2012:i:3:p:409-433
    DOI: 10.1007/s10182-011-0180-3
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    References listed on IDEAS

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    1. Nadarajah, Saralees & Gupta, Arjun K., 2007. "A generalized gamma distribution with application to drought data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(1), pages 1-7.
    2. Nadarajah, Saralees & Kotz, Samuel, 2006. "The beta exponential distribution," Reliability Engineering and System Safety, Elsevier, vol. 91(6), pages 689-697.
    3. Saralees Nadarajah, 2011. "The exponentiated exponential distribution: a survey," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 95(3), pages 219-251, September.
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