A useful extension of the Burr III distribution

Gauss M. Cordeiro (), Antonio E. Gomes (), Cibele Q. da-Silva () and Edwin M. M. Ortega ()
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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

Journal of Statistical Distributions and Applications, 2017, vol. 4, issue 1, 1-15

Abstract: 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.

Keywords: Estimation; Gamma distribution; Gamma-G family; Moment; Regression model (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (6)

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DOI: 10.1186/s40488-017-0079-y

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