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The generalized odd half-Cauchy family of distributions: Properties and applications

Author

Listed:
  • Gauss M. Cordeiro
  • Morad Alizadeh
  • Thiago G. Ramires
  • Edwin M. M. Ortega

Abstract

We introduce and study general mathematical properties of a new generator of continuous distributions with one extra parameter called the generalized odd half-Cauchy family. We present some special models and investigate the asymptotics and shapes. The new density function can be expressed as a linear mixture of exponentiated densities based on the same baseline distribution. We derive a power series for the quantile function. We discuss the estimation of the model parameters by maximum likelihood and prove empirically the flexibility of the new family by means of two real data sets.

Suggested Citation

  • Gauss M. Cordeiro & Morad Alizadeh & Thiago G. Ramires & Edwin M. M. Ortega, 2017. "The generalized odd half-Cauchy family of distributions: Properties and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(11), pages 5685-5705, June.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:11:p:5685-5705
    DOI: 10.1080/03610926.2015.1109665
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    Cited by:

    1. Chakraburty Subrata & Alizadeh Morad & Handique Laba & Altun Emrah & Hamedani G. G., 2021. "A new extension of Odd Half-Cauchy Family of Distributions: properties and applications with regression modeling," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 77-100, December.
    2. Subrata Chakraburty & Morad Alizadeh & Laba Handique & Emrah Altun & G. G. Hamedani, 2021. "A new extension of Odd Half-Cauchy Family of Distributions: properties and applications with regression modeling," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 77-100, December.
    3. Lucas David Ribeiro-Reis, 2023. "The Log-Logistic Regression Model Under Censoring Scheme," Methodology and Computing in Applied Probability, Springer, vol. 25(2), pages 1-12, June.
    4. Muhammad Ijaz & Syed Muhammad Asim & Alamgir & Muhammad Farooq & Sajjad Ahmad Khan & Sadaf Manzoor, 2020. "A Gull Alpha Power Weibull distribution with applications to real and simulated data," PLOS ONE, Public Library of Science, vol. 15(6), pages 1-19, June.
    5. Muhammad Ijaz & Wali Khan Mashwani & Samir Brahim Belhaouari, 2020. "A novel family of lifetime distribution with applications to real and simulated data," PLOS ONE, Public Library of Science, vol. 15(10), pages 1-15, October.

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