The New Extension of Odd Log-Logistic Chen Distribution: Mathematical Properties and Applications

  • Zohre Zamani Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
  • Mahmoud Afshari Department of Statistics, Persian Gulf University, Bushehr, Iran
  • Hamid Karamikabir Department of Statistics, Persian Gulf University, Bushehr, Iran
  • Maryam Khan Ahmadi Department of Statistics, Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
  • Morad Alizadeh Department of Statistics, Persian Gulf University, Bushehr, Iran
Keywords: Hazard rate function, moments, skewness, kurtosis, entropy

Abstract

A new lifetime model called the odd log-logistic Chen distribution is being introduced in this paper. We provide a comprehensive account of the mathematical properties of the proposed family including the hazard rate function, moments, conditional moments, coefficient of skewness, coefficient of kurtosis, entropy and order statistics. The parameters of this distribution are estimated by several methods of estimation. A simulation study is performed in order to investigate the properties of the proposed estimators. Finally, in order to show the NOLL-Ch distribution flexibility, two applications using real data sets are presented.

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Published
2021-03-29
Section
Articles