Zhang, Bo; Qi, Yongcheng A note on compound Poisson distributions. (English) Zbl 1141.60307 Acta Sci. Nat. Univ. Pekin. 43, No. 3, 299-301 (2007). Summary: The infinite composition and decomposition properties of compound Poisson distributions are demonstrated. It covers the classical results of H. U. Gerber [An introduction to mathematical risk theory, S. S. Huebner Foundation, Monograph Series, No. 8 Philadelphia: University of Pennsylvania (1979; Zbl 0431.62066)] . MSC: 60E05 Probability distributions: general theory 62E99 Statistical distribution theory 91B30 Risk theory, insurance (MSC2010) Keywords:compound Poisson distribution; random sum; layer insurance Citations:Zbl 0431.62066 PDFBibTeX XMLCite \textit{B. Zhang} and \textit{Y. Qi}, Acta Sci. Nat. Univ. Pekin. 43, No. 3, 299--301 (2007; Zbl 1141.60307)