On Pseudo Lindley distribution: properties and applications

Abstract

In this paper, we give a treatment of the mathematical properties for a new distribution named a pseudo Lindley distribution (PsLD)[14]. The properties studied include: moments, cumulates, characteristic function, failure rate function, mean residual life function, Lorenz curve, stochastic ordering, asymptotic distribution of the extreme order statistics, maximum likelihood estimation and simulation schemes. An application to waiting time data at a bank is described.