The Ristic-Balakrishnan odd log-logistic family of distributions: Properties and Applications

  • Hamid Esmaeili Department of Statistics, Persian Gulf University, Bushehr, Iran
  • Fazlollah Lak Department of Statistics, Persian Gulf University, Bushehr, Iran
  • Emrah Altun Department of Statistics, Bartin University, Bartin, Turkey
Keywords: Estimation, Ristic-Balakrishnan distributions, Generated family, Maximum likelihood, Moment, Quantile function

Abstract

This paper investigates general mathematical properties of a new generator of continuous distributions with two extra parameter called the Ristic-Balakrishnan odd log-logistic family of distributions. We present some special models and investigate the asymptotes. The new density function can be expressed as a linear combination of exponentiated densities based on the same baseline distribution. Explicit expressions for the ordinary and incomplete moments, generating functions and order statistics, which hold for any baseline model, are determined. Further, we discuss the estimation of the model parameters by maximum likelihood and present a simulation study based on maximum likelihood estimation. A regression model based on proposed model was introduced. Finally, three applications to real data were provided to illustrate the potentiality of the family of distributions.

Author Biographies

Hamid Esmaeili, Department of Statistics, Persian Gulf University, Bushehr, Iran
Department of Statistics, Persian Gulf University, Bushehr, Iran
Fazlollah Lak, Department of Statistics, Persian Gulf University, Bushehr, Iran
Department of Statistics, Persian Gulf University, Bushehr, Iran
Emrah Altun, Department of Statistics, Bartin University, Bartin, Turkey
Department of Statistics, Bartin University, Bartin, Turkey

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Published
2020-02-17
How to Cite
Esmaeili, H., Lak, F., & Altun, E. (2020). The Ristic-Balakrishnan odd log-logistic family of distributions: Properties and Applications. Statistics, Optimization & Information Computing, 8(1), 17-35. https://doi.org/10.19139/soic-2310-5070-715
Section
Research Articles

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