Geodesic
On the Order of Growth and Sums of Dependent Variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 2, pp. 358-361

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Some estimates for sums of random variables are obtained which hold almost surely. These estimates are, in a certain sense, optimal. 
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     author = {V. V. Petrov},
     title = {On the {Order} of {Growth} and {Sums} of {Dependent} {Variables}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1973_18_2_a11/}
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V. V. Petrov. On the Order of Growth and Sums of Dependent Variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 2, pp. 358-361. http://geodesic.mathdoc.fr/item/TVP_1973_18_2_a11/