A Four-Parameter Generalization of the Chen Distribution Family

Abstract

As an addition to the known continuous distribution families, a four-parameter model of significant flexibility is introduced for the purpose of modeling positive random variables. After the Weibull-Chen {Weibull} Type I model is introduced, some standard numerical properties are explored, including those involved in maximum likelihood estimation. We compare the performance of the model with similar models with application to two real data sets and demonstrate the improved fit.