On Weibull-Burr XII Distribution: Properties and Applications

Abstract

In recent times, lots of efforts have been made to define new probability distributions that cover different aspect of human endeavors with a view to providing alternatives in modeling real life data. In this article, a five-parameter Weibull-Burr XII (Wei-Burr XII) distribution is studied and  investigated. Some of its statistical properties comprising moments, moment generating function, characteristics function, quantile function and reliability (survival) functions are defined. The distribution's parameters are estimated by method of maximum likelihood. We evaluate the performance of the proposed distribution against other similar probability distributions based on a real life dataset.

Keywords: Weibull Distribution, Moments, Characteristics function, Reliability function, Maximum Likelihood.