MirMostafaee et al. (2019) proposed a continuous univariate distribution called Exponentiated Generalized Power Lindley (EGPL) distribution and studied certain properties and applications of their distribution. Akdogan et al. (2019) introduced a discrete distribution called Geometric-Zero Truncated Poisson (GZTP) distribution and provided its properties and applications. The present short note is intended to complete, in some way, the works cited above via establishing certain characterizations of the EGPL and GZTP distributions in different directions.
Characterizations of a continuous univariate distribution due to Shakil, Kibria and Singh (2010) (SKS), based on a simple relationship between two truncated moments is presented. We also point out that some special cases of the SKS distribution can be characterized based on the hazard function.
Characterizations of Exponentiated Generalized Power Lindley and Geometric-Zero Truncated Poisson Distributions
