Exponentiated Generalized Modified Weibull Distribution for Skewed Dataset

Abstract

Using the Exponentiated approach and three-parameter Weibull distribution as baseline function, a newly generalized distribution was formed called the Exponentiated Generalized Modified Weibull distribution. One of the properties of a proper probability density function was used to ascertain that the resulting function is a proper probability density function. Statistical properties of the newly generated distribution were studied and graphs of probability density and cumulative density functions of the distribution were plotted using varying parameter values. Monte Carlo simulation approach was used for the test of homogeneity of the distribution and it was observed that the parameters in the distribution approach the true value as sample size increases. The distribution was compared with some of the existing distributions in its category and it was observed that the distribution outperformed the existing distributions using secondary data. Therefore, it was concluded that Exponentiated Generalized Modified Weibull distribution can be adopted in modeling events involving distributions of its category.