This paper proposes a recent version of compound Poisson distributions named the Poisson quasi-Lindley (PQL) distribution by compounding Poisson and quasi-Lindley distributions. Some properties of the distributions are given with estimation and some illustrative examples.
Grine, R., & Zeghdoudi, H. (2017). On Poisson Quasi-Lindley Distribution and its Applications. Journal of Modern Applied Statistical Methods, 16(2), 403-417. doi: 10.22237/jmasm/1509495660