Geodesic
On stability of sums of nonnegative random variables
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 13, Tome 361 (2008), pp. 78-82

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We present sufficient conditions for stability of sums of nonnegative random variables having finite moments of the second order. We demonstrate that these conditions are nonimprovable in some sense. Bibl. – 4 titles. 
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     author = {V. V. Petrov},
     title = {On stability of sums of nonnegative random variables},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {78--82},
     publisher = {mathdoc},
     volume = {361},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_361_a5/}
}
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V. V. Petrov. On stability of sums of nonnegative random variables. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 13, Tome 361 (2008), pp. 78-82. http://geodesic.mathdoc.fr/item/ZNSL_2008_361_a5/