On the Exponentiated Generalized Weibull Distribution: A Generalization of the Weibull Distribution

Abstract

Background/Objectives: In this article, a generalization of the Weibull distribution is being studied in some details. The new model is referred to as the Exponentiated Generalized Weibull distribution. The aim is to increase the flexibility of the Weibull distribution. Methods: The concepts introduced in the Exponentiated Generalized family of distributions due to Cordeiro et al.11 were employed. Findings: Some basic mathematical properties of the resulting model were identified and studied in minute details. Meanwhile, estimation of model parameters was performed using the maximum likelihood method. Application/Improvement: The Exponentiated Generalized Weibull distribution was presented as a competitive model that would be useful in modeling real life situations with inverted bathtub failure rates. The R-code for the plots was also provided. Further research would involve applying the proposed model to real life data sets.