The Beta Marshall–Olkin Lomax Distribution

Abstract

Compounding distributions is the most common method in lifetime analysis to obtain more flexible families of distributions. Based on the beta Marshall–Olkin generated family, we present a new four-parameter distribution, so-called the beta Marshall–Olkin Lomax, for lifetime applications. We obtain some of its properties from those of well-established distributions. We provide a simulation study to illustrate the performance of the maximum likelihood estimates. An application to uncensored data is carried out and we use some goodness-of-fit statistics to study the flexibility of the new distribution, proving empirically that this model can be appropriate for lifetime applications.