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This article is cited in 10 scientific papers (total in 10 papers)
Probability inequalities for the Galton–Watson critical process
S. V. Nagaeva, V. I. Vakhtel'b a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Technische Universität München
Abstract:
The upper bounds for the large deviation probabilities of a critical Galton–Watson process are derived under various conditions on the offspring distribution.
Keywords:
Galton–Watson process, martingale, Doob inequality, Cramèr's condition, Chebyshev inequality.
Received: 23.07.2002 Revised: 15.01.2004
Citation:
S. V. Nagaev, V. I. Vakhtel', “Probability inequalities for the Galton–Watson critical process”, Teor. Veroyatnost. i Primenen., 50:2 (2005), 266–291; Theory Probab. Appl., 50:2 (2006), 225–247
Linking options:
https://www.mathnet.ru/eng/tvp107https://doi.org/10.4213/tvp107 https://www.mathnet.ru/eng/tvp/v50/i2/p266
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