Research Article Open Access

Some Cubic Transmuted Exponentiated Pareto-1 Distribution

Hussein Eledum1
  • 1 University of Tabuk, Tabuk, KSA, Saudi Arabia
Journal of Mathematics and Statistics
Volume 16 No. 1, 2020, 113-124

DOI: https://doi.org/10.3844/jmssp.2020.113.124

Submitted On: 5 June 2020
Published On: 14 July 2020

How to Cite: Eledum, H. (2020). Some Cubic Transmuted Exponentiated Pareto-1 Distribution. Journal of Mathematics and Statistics, 16(1), 113-124. https://doi.org/10.3844/jmssp.2020.113.124

Abstract

In this study, we introduce two new generalized versions of the Exponentiated Pareto-I distribution called (CTEP-I-G) and (CTEP-I-R). Statistical properties of the two distributions such as reliability function, hazard function, moments and moment generating function are studied. Models parameters are estimated by the maximum likelihood method. Finally, an application of CTEP-I-G and CTEP-I-R distributions to two real datasets and compared with some distributions based on exponentiated Pareto-I distribution is illustrated. The applications suggest that the CTEP-I-G performs better than CTEP-I-R.

Download

Keywords

  • Pareto Distribution
  • Transmuted Family
  • Moments
  • Survival Function
  • Maximum Likelihood