Geodesic
On compound Poisson approximations under moment restrictions
Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 1, pp. 74-86

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We consider the analogue of the first uniform Kolmogorov theorem in the scheme of series. Zaitsev's hypothesis on accuracy of approximation is partially confirmed. As approximations we use compound Poisson approximations and compound Poisson measures with a sign.
Keywords: compound Poisson distribution
Mots-clés : variation, uniform distance. 
@article{TVP_1999_44_1_a4,
     author = {V. \v{C}ekanavi\v{c}ius},
     title = {On compound {Poisson} approximations under moment restrictions},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {74--86},
     publisher = {mathdoc},
     volume = {44},
     number = {1},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1999_44_1_a4/}
}
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V. Čekanavičius. On compound Poisson approximations under moment restrictions. Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 1, pp. 74-86. http://geodesic.mathdoc.fr/item/TVP_1999_44_1_a4/