Marshall–Olkin Extended Lomax Distribution and Its Application to Censored Data

This paper investigates properties of a new parametric distribution generated by Marshall and Olkin (Citation1997) extended family of distributions based on the Lomax model. We show that the proposed distribution can be expressed as a compound distribution with mixing exponential model. Simple sufficient conditions for the shape behavior of the density and hazard rate functions are given. The limiting distributions of the sample extremes are shown to be of the exponential and Fréchet type. Finally, utilizing maximum likelihood estimation, the proposed distribution is fitted to randomly censored data.