Geodesic
Almost sure convergence of multiple series of independent random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 1, pp. 68-83

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Multiple sums of independent random variables are considered. Necessary and sufficient conditions are obtained for the almost sure convergence of multiple series. Some corollaries are given regarding different classes of summands.
Keywords: multiple sums, independent random variables, almost sure convergence. 
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     author = {O. I. Klesov},
     title = {Almost sure convergence of multiple series of independent random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {68--83},
     publisher = {mathdoc},
     volume = {40},
     number = {1},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1995_40_1_a2/}
}
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O. I. Klesov. Almost sure convergence of multiple series of independent random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 1, pp. 68-83. http://geodesic.mathdoc.fr/item/TVP_1995_40_1_a2/