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The odd log-logistic generalized half-normal lifetime distribution: Properties and applications

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  • Gauss M. Cordeiro
  • Morad Alizadeh
  • Rodrigo R. Pescim
  • Edwin M. M. Ortega

Abstract

Cooray and Ananda (2008) pioneered a lifetime model commonly used in reliability studies. Based on this distribution, we propose a new model called the odd log-logistic generalized half-normal distribution for describing fatigue lifetime data. Various of its structural properties are derived. We discuss the method of maximum likelihood to fit the model parameters. For different parameter settings and sample sizes, some simulation studies compare the performance of the new lifetime model. It can be very useful, and its superiority is illustrated by means of a real dataset.

Suggested Citation

  • Gauss M. Cordeiro & Morad Alizadeh & Rodrigo R. Pescim & Edwin M. M. Ortega, 2017. "The odd log-logistic generalized half-normal lifetime distribution: Properties and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(9), pages 4195-4214, May.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:9:p:4195-4214
    DOI: 10.1080/03610926.2015.1080841
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    Cited by:

    1. José H. Dias Gonçalves & João J. Ferreira Gomes & Lihki Rubio & Filipe R. Ramos, 2023. "A Generalized Log Gamma Approach: Theoretical Contributions and an Application to Companies’ Life Expectancy," Mathematics, MDPI, vol. 11(23), pages 1-23, November.

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