Exponentiated Generalized Exponential Lomax Distribution with Its Associated Properties and Application

Abstract

In this research, a five parameter Exponentiated Generalized Exponential lomax (EGEL) distribution was derived from Exponentiated Generalized Family (EGF) of distribution. we consider certain results characterizing the generalization of the derived Distribution through their distribution functions and asymptotic properties. The resulting Exponentiated Generalized Exponential  lomax was defined and some of the conventional properties like moment generating function, survival rate function, hazard rate function, , median, quantile, mean deviation, median deviation, skewness, kurtosis, Renyi and  entropy were investigated. The estimation of the model parameters was performed using maximum likelihood estimation method. The usefulness and flexibility of the new model is illustrated using real data. The distribution was found to generalize some known distributions thereby providing a great flexibility in modeling symmetric, heavy tailed, skewed and bimodal distributions, the use of the new lifetime distribution was illustrated using failure time life data.

Keywords: Reversed Hazard function, Moment, Kurtosis, Odd function, skewness, and quantile function.

DOI: 10.7176/MTM/14-1-01

Publication date: April 30^th 2024