On Flexibility of Inverse Lomax-Lindley distribution

Abstract

J.Y. Falgore*, M. Sirajo, A. A. Umar, M. A. Aliyu

In this work, a new extension of the Inverse Lomax family of distribution called Inverse Lomax Lindley (IL-L) distribution is proposed. Different properties of the new distribution are derived including moments, moment generating function, Renyi entropy, Shanon entropy, and order statistics. The performances of the maximum likelihood estimates of the parameters of the Inverse Lomax-Lindley distribution were evaluated through a simulation study. Application of the IL-L distribution to two real-life data sets has proved its flexibility.