Gumbel-Exponential Distribution: Its Properties and Application

This paper presents a mixture distribution of a new modelling tool, which is termed Gumbel-Exponential (GEXP) distribution. The distribution allows us to capture some real characteristics of data and it is an important tool for understanding the phenomenon. The various statistical properties of this distribution were fully explored and discussed. These include: the mean, variance, moments, mode, reliability function and hazard function. The worth of the mixing distribution has been demonstrated by applying it to real life data.