Marshall–Olkin Power Generalized Weibull Distribution with Applications in Engineering and Medicine

Abstract

This paper proposes a new flexible four-parameter model called Marshall – Olkin power generalized Weibull (MOPGW) distribution which provides symmetrical, reversed-J shaped, left-skewed and right-skewed densities, and bathtub, unimodal, increas-ing,constant,decreasing,Jshaped,andreversed-Jshapedhazardrates.SomeoftheMOPGWstructuralpropertiesarediscussed.ThemaximumlikelihoodisutilizedtoestimatetheMOPGWunknownparameters.Simulationresultsareprovidedtoassesstheperformanceofthemaximumlikelihoodmethod.Finally,weillustratetheimportanceoftheMOPGWmodel,comparedwithsomerivalmodels,viatworealdataapplicationsfromtheengineeringandmedicinefields.