Type II Exponentiated Half Logistic Generated Family of Distributions with Applications

Authors

  • Hazem Al-Mofleh Tafila Technical University
  • Mohamed Elgarhy Valley High Institute for Management Finance and Information Systems
  • Ahmed Afify Benha University
  • Mohammad Zannon Tafila Technical University

DOI:

https://doi.org/10.1285/i20705948v13n2p536

Keywords:

Exponentiated half logistic distribution, Order statistics, Maximum likelihood method

Abstract

A new family of distributions called type II exponentiated half logistic is introduced and studied.  Four new special models are presented. Some mathematical properties of the new family are studied. Explicit expressions for the moments, probability weighted moments, quantile function, mean deviation, order statistics and Rényi entropy are investigated. Parameter estimation of the family are obtained based on maximum likelihood procedure. Two real data sets are employed to show the usefulness of the new family.

Author Biographies

Hazem Al-Mofleh, Tafila Technical University

Department of MathematicsAssistant Professor

Mohamed Elgarhy, Valley High Institute for Management Finance and Information Systems

Assistant Professor

Ahmed Afify, Benha University

Department of Statistics, Mathematics and Insurance

Assistant Professor

Mohammad Zannon, Tafila Technical University

 

Department of MathematicsAssistant Professor

 

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Published

14-10-2020