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A note on mixed Poisson distributions

Probability 2025-02-13 v1 Combinatorics

Abstract

In this note we discuss additional properties of mixed Poisson distributions. We discuss the convergence of mixed Poisson distributions to its mixing distribution for the scaling parameter tending to infinity. Moreover, we obtain a central limit theorem after centering by its mixing random variable, together with moment convergence.

Keywords

Cite

@article{arxiv.2502.08274,
  title  = {A note on mixed Poisson distributions},
  author = {Markus Kuba},
  journal= {arXiv preprint arXiv:2502.08274},
  year   = {2025}
}

Comments

7 pages

R2 v1 2026-06-28T21:41:28.142Z