Burr X Exponential – Weibul Distribution Properties and Application

Abstract

In this paper, a new distribution called Burr X Exponential – Weibul distribution (BXE-W) was developed by extending weibul distribution with Burr X Exponential G family of distributions. This new distribution consists of the characteristics features of burr X, Exponential and Weibull distributions with additional four parameters. The characteristics features contain in this new distribution (BXE-W) aids to boost its flexibility. The respective density and distribution functions of this new distribution (BXE-W) were derived alongside with some mathematical properties such as moments, quantile function and order statistics. Simulation study conducted, by considering the Maximum Likelihood Estimate (MLE) method shows that the estimated parameters of BXE-W are consistent as the BIAS and RMSE approach zero. Finally, two real data sets were used to validate the results obtained from MLE method. The results show that Burr X Exponential – Weibull (BXE-W) distribution best fit the two data sets compare to the competitive distributions used in this study. Perhaps, this new distribution may be useful to model positive real life data sets that may possess the characteristics feature of Burr X, Exponential and Weibull distributions.