Abstract
In this paper we prove an almost sure limit theorem for random sums of independent random variables in the domain of attraction of a p-semistable law and describe the limit law.
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Original Russian Text © A.N. Chuprunov and L.P. Terekhova, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 11, pp. 85–88.
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Chuprunov, A.N., Terekhova, L.P. An almost sure limit theorem for random sums of independent random variables in the domain of attraction of a semistable law. Russ Math. 53, 74–76 (2009). https://doi.org/10.3103/S1066369X09110115
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DOI: https://doi.org/10.3103/S1066369X09110115