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A useful extension of the Burr III distribution

Author

Listed:
  • Gauss M. Cordeiro

    (Universidade Federal de Pernambuco)

  • Antonio E. Gomes

    (Universidade de Brasília)

  • Cibele Q. da-Silva

    (Universidade de Brasília)

  • Edwin M. M. Ortega

    (ESALQ-Universidade de São Paulo)

Abstract

For any continuous baseline G distribution, Zografos and Balakrishnan (Statistical Methodology 6:344–362, 2009) introduced the gamma-generated family of distributions with an extra shape parameter. Based on this family, we define a new four-parameter extension of the Burr III distribution. It can have decreasing, unimodal and decreasing-increasing-decreasing hazard rate function. We provide a comprehensive account of some of its structural properties. We propose a new log-gamma Burr III regression model, which is a feasible alternative for modeling the four existing types of failure rates. Two applications to real data sets and a simulation study illustrate the performance of the new models.

Suggested Citation

  • Gauss M. Cordeiro & Antonio E. Gomes & Cibele Q. da-Silva & Edwin M. M. Ortega, 2017. "A useful extension of the Burr III distribution," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-15, December.
    • Handle: RePEc:spr:jstada:v:4:y:2017:i:1:d:10.1186_s40488-017-0079-y
    DOI: 10.1186/s40488-017-0079-y
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    References listed on IDEAS

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    1. Alexander, Carol & Cordeiro, Gauss M. & Ortega, Edwin M.M. & Sarabia, José María, 2012. "Generalized beta-generated distributions," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1880-1897.
    2. Christian Kleiber, 2008. "A Guide to the Dagum Distributions," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 6, pages 97-117, Springer.
    3. Ayman Alzaatreh & Carl Lee & Felix Famoye, 2013. "A new method for generating families of continuous distributions," METRON, Springer;Sapienza Università di Roma, vol. 71(1), pages 63-79, June.
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