Characterizations of discrete compound Poisson distributions

  title={Characterizations of discrete compound Poisson distributions},
  author={H. Zhang and B. Li},
  journal={Communications in Statistics - Theory and Methods},
  pages={6789 - 6802}
  • H. Zhang, B. Li
  • Published 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… CONTINUE READING
    6 Citations


    Compound Poisson Approximation for Nonnegative Random Variables Via Stein's Method
    • 152
    • Highly Influential
    • PDF
    A characterization of the Poisson distribution
    • 7
    Notes on discrete compound Poisson model with applications to risk theory
    • 35
    Decompounding: an estimation problem for Poisson random sums
    • 76
    • PDF
    Count Data Distributions
    • 83
    Compound Poisson Distributions
    • 148