Probability inequalities for the Galton--Watson critical process
Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 2, pp. 266-291

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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, Doob inequality, Cramèr's condition, Chebyshev inequality.
Mots-clés : martingale
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     title = {Probability inequalities for the {Galton--Watson} critical process},
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S. V. Nagaev; V. I. Vakhtel'. Probability inequalities for the Galton--Watson critical process. Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 2, pp. 266-291. http://geodesic.mathdoc.fr/item/TVP_2005_50_2_a3/