Characterizations of discrete compound Poisson distributions

@article{Zhang2016CharacterizationsOD,
  title={Characterizations of discrete compound Poisson distributions},
  author={Huiming Zhang and Bo Li},
  journal={Communications in Statistics - Theory and Methods},
  year={2016},
  volume={45},
  pages={6789 - 6802}
}
  • Huiming Zhang, B. Li
  • Published 23 August 2016
  • Mathematics
  • Communications in Statistics - Theory and Methods
ABSTRACT The aim of this paper is to give some new characterizations of discrete compound Poisson distributions. Firstly, we give a characterization by the Lévy–Khintchine formula of infinitely divisible distributions under some conditions. The second characterization need to present by row sum of random triangular arrays converges in distribution. And we give an application in probabilistic number theory, the strongly additive function converging to a discrete compound Poisson in distribution… 
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