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This article is cited in 10 scientific papers (total in 10 papers)
Short Communications
On the convergence of distributions of random sums of independent random variables to stable laws
V. Yu. Korolev M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Abstract:
The paper gives the necessary and sufficient conditions for convergence of distributions of random sums of independent random variables to strictly stable laws.
Keywords:
stable laws, Lindeberg condition, random sums.
Received: 10.06.1997
Citation:
V. Yu. Korolev, “On the convergence of distributions of random sums of independent random variables to stable laws”, Teor. Veroyatnost. i Primenen., 42:4 (1997), 818–820; Theory Probab. Appl., 42:4 (1998), 695–696
Linking options:
https://www.mathnet.ru/eng/tvp2609https://doi.org/10.4213/tvp2609 https://www.mathnet.ru/eng/tvp/v42/i4/p818
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