Bibliography
Б. В. Гнеденко иА. Н. Колмогоров, ПредельнЫе распределения для сумм независимЫх случайнЫх величин (Москва-Пенинград, 1949).
A. Rényi, On composed Poisson distributions. II,Acta Math. Acad. Sci. Hung.,2 (1951), pp. 83–98.
A. Prékopa, On abstract Poisson and composed Poisson stochastic set functionsStudia Math. (under press).
L. Jánossy, J. Aczél andA. Rényi, Om composed Poisson distributions. I,Acta Math Acad. Sci. Hung.,1 (1950), pp. 209–224.
K. Ito, Stochastic processes. I,Jap. J. Math.,18 (1942), pp. 261–301.
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Prékopa, A., Rényi, A. On the independence in the limit of sums depending on the same sequence of independent random variables. Acta Mathematica Academiae Scientiarum Hungaricae 7, 319–326 (1956). https://doi.org/10.1007/BF02020528
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DOI: https://doi.org/10.1007/BF02020528