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
Mots-clés : martingale
@article{TVP_2005_50_2_a3,
author = {S. V. Nagaev and V. I. Vakhtel'},
title = {Probability inequalities for the {Galton--Watson} critical process},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {266--291},
publisher = {mathdoc},
volume = {50},
number = {2},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2005_50_2_a3/}
}
TY - JOUR AU - S. V. Nagaev AU - V. I. Vakhtel' TI - Probability inequalities for the Galton--Watson critical process JO - Teoriâ veroâtnostej i ee primeneniâ PY - 2005 SP - 266 EP - 291 VL - 50 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TVP_2005_50_2_a3/ LA - ru ID - TVP_2005_50_2_a3 ER -
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/