Geodesic
On the necessary conditions of Poisson convergence
Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 4, pp. 813-816

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This paper proves a theorem on necessary conditions for the Poisson convergence of sums of martingale differences. The theorem conditions generalize the classic conditions for the convergence of sums of independent summands.
Mots-clés : martingale, Poisson law
Keywords: weak convergenceю. 
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     author = {A. G. Sholomitskii},
     title = {On the necessary conditions of {Poisson} convergence},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {813--816},
     publisher = {mathdoc},
     volume = {49},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2004_49_4_a13/}
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A. G. Sholomitskii. On the necessary conditions of Poisson convergence. Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 4, pp. 813-816. http://geodesic.mathdoc.fr/item/TVP_2004_49_4_a13/