Geodesic
On necessary and sufficient conditions for the strong law of large numbers
Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 4, pp. 609-618

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Sufficient and necessary conditions for the strong law of large numbers are given in terms of the distributions of addends. This result is obtained as a consequence of the sufficient and necessary condition due to Yu. V. Prokhorov [2]. 
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     author = {S. V. Nagaev},
     title = {On necessary and sufficient conditions for the strong law of large numbers},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {609--618},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1972_17_4_a0/}
}
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S. V. Nagaev. On necessary and sufficient conditions for the strong law of large numbers. Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 4, pp. 609-618. http://geodesic.mathdoc.fr/item/TVP_1972_17_4_a0/