A pseudo Lindley distribution and its application

Abstract

In this paper, we introduce a new distribution named as the Pseudo Lindley Distribution (PsLD) as a generalization of the Lindley distribution (LD). A full and detailed description are provided in terms of moments, cumulates, characteristic function, failure, rate function, stochastic ordering, distributions of sums, and parameters estimation. Simulations studies and data driven applications are also reported.

Keywords: Lindley distribution; Exponential distribution; Gamma distribution; Stochastic ordering; Maximum-likelihood estimation.