Author/Authors :
Abdullah, Zeyad M. Department of Mathematics - College of Computer Science and Mathematics - Tikrit University, Iraq , Hussain, Nazar K. Department of Mathematics - College of Computer Science and Mathematics - Tikrit University, Iraq , Fawzi, Firas A. Department of Mathematics - College of Computer Science and Mathematics - Tikrit University, Iraq , Abdal-Hammed, Moudher Khalid Department of Public Administration - College of Management and Economics - Tikrit University, Iraq , Abdullah Khaleel, Mundher Department of Public Administration - College of Management and Economics - Tikrit University, Iraq
Abstract :
A new probability model for positively skewed datasets like economic data, medical, engineering and other sciences was developed in this paper. The new distribution is named the Marshall Olkin Topp Leon Exponential distribution and it was generated using the Marshall Olkin Topp Leon -G family of distributions. It has three parameters and it is very flexible in fitting several and different datasets. Its basic mathematical properties were studied and two methods like maximum likelihood estimation via Gray Wolf optimization and Conjugate Gradient used for the estimation of model parameters. A real-life dataset was used to illustrate the flexibility of the distribution and it was found that the new model provides a better fit to real-life datasets than other distributions.
Keywords :
Marshall Olkin distribution , Topp Leon-G family of distributions , Mathematical properties , Exponential distribution
