Geodesic
A lemma due to Bernshtein for sums of dependent random variables
Matematičeskie zametki, Tome 10 (1971) no. 2, pp. 187-194 Cet article a éte moissonné depuis la source Math-Net.Ru

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Sums of arbitrarily dependent random variables are investigated, and a lemma due to Bernshtein concerning the normal-distribution limit theorem is proved for such sums. 
@article{MZM_1971_10_2_a8,
     author = {M. N. Marushin},
     title = {A lemma due to {Bernshtein} for sums of dependent random variables},
     journal = {Matemati\v{c}eskie zametki},
     pages = {187--194},
     year = {1971},
     volume = {10},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_2_a8/}
}
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M. N. Marushin. A lemma due to Bernshtein for sums of dependent random variables. Matematičeskie zametki, Tome 10 (1971) no. 2, pp. 187-194. http://geodesic.mathdoc.fr/item/MZM_1971_10_2_a8/