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Teoriya Veroyatnostei i ee Primeneniya, 1975, Volume 20, Issue 1, Pages 181–182
(Mi tvp3008)
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This article is cited in 8 scientific papers (total in 8 papers)
Short Communications
An estimation of probabilites of large deviations for a critical Galton–Watson process
S. V. Nagaev, N. V. Vakhrushev Novosibirsk
Abstract:
Let $Z_n$, $n=0,1,\dots,$ be a critical Galton–Watson process with $Z_0=1$. An estimation of $\mathbf P(Z_n>k)$ is obtained for every $k>0$ under the assumption that $\mathbf P(Z_1>k)<e^{-\alpha k}$, $\alpha>0$.
Received: 11.07.1974
Citation:
S. V. Nagaev, N. V. Vakhrushev, “An estimation of probabilites of large deviations for a critical Galton–Watson process”, Teor. Veroyatnost. i Primenen., 20:1 (1975), 181–182; Theory Probab. Appl., 20:1 (1975), 179–180
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https://www.mathnet.ru/eng/tvp3008 https://www.mathnet.ru/eng/tvp/v20/i1/p181
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