Geodesic
The Esseen inequality for sums of a random number of differently distributed random variables
Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 143-146 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of estimation of deviation of the distribution of the sum of a random number of differently distributed random variables from the normal distribution is considered, i.e., the Esseen inequality for distributions of random sums is established. As a particular case, the Berry–Esseen inequality is obtained. 
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     title = {The {Esseen} inequality for sums of a~random number of differently distributed random variables},
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Kh. Batirov; D. V. Manevich; S. V. Nagaev. The Esseen inequality for sums of a random number of differently distributed random variables. Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 143-146. http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a15/