Geodesic
On the strong law of large numbers
Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 2, pp. 193-202

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The order of the magnitude of sums of independent random variables is studied. Section 1 is devoted to the case of non-identically distributed random variables with finite variances. More general results are obtained in section 2. 
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     author = {V. V. Petrov},
     title = {On the strong law of large numbers},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {193--202},
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     volume = {14},
     number = {2},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1969_14_2_a0/}
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V. V. Petrov. On the strong law of large numbers. Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 2, pp. 193-202. http://geodesic.mathdoc.fr/item/TVP_1969_14_2_a0/