On an analytical decomposition of the Poisson law

On an analytical decomposition of the Poisson law
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by R. G. Laha

Trans. Amer. Math. Soc. 140 (1969), 137-148

DOI: https://doi.org/10.1090/S0002-9947-1969-0242217-2

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References

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B. V. Gnedenko and A. N. Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley Publishing Co., Inc., Cambridge, Mass., 1954. Translated and annotated by K. L. Chung. With an Appendix by J. L. Doob. MR 0062975
R. G. Laha, On a factorization theorem in the theory of analytic characteristic functions, Ann. Math. Statist. 29 (1958), 922–926. MR 93809, DOI 10.1214/aoms/1177706553
R. G. Laha, On functions having non-negative derivatives at the origin, Proc. Amer. Math. Soc. 12 (1961), 175–180. MR 124446, DOI 10.1090/S0002-9939-1961-0124446-X

On

decomposition” of infinitely divisible laws

14

A. A. Zinger and Yu. V. Linnik, On an analytic generalization of a theorem of Cramér’s and its application, Vestnik Leningrad. Univ. 10 (1955), no. 11, 51–56 (Russian). MR 0075472
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On the decomposition of Gauss and Poisson laws

2

The theory of functions