We present new sufficient conditions for stability of sums of nonnegative random variables having finite moments of second order. We demonstrate that these conditions are nonimprovable in some sense. Bibliography: 4 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 361, 2008, pp. 78—82.
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Petrov, V.V. On stability of sums of nonnegative random variables. J Math Sci 159, 324–326 (2009). https://doi.org/10.1007/s10958-009-9444-9
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DOI: https://doi.org/10.1007/s10958-009-9444-9