Some remarks on convergence to Poisson's limit law
Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 2, pp. 371-375

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The paper contains necessary and sufficient conditions for the laws of sums $\mathscr L(S_{nk})$ to converge to Poisson's law $P(\lambda)$ as well as for moments of these sums to converge to respective moments of the limit law $P(\lambda)$.
@article{TVP_1965_10_2_a15,
     author = {M. N. Marushin},
     title = {Some remarks on convergence to {Poisson's} limit law},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {371--375},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {1965},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a15/}
}
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M. N. Marushin. Some remarks on convergence to Poisson's limit law. Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 2, pp. 371-375. http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a15/