Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 1, pp. 181-182
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S. V. Nagaev; N. V. Vakhrushev. An estimation of probabilites of large deviations for a critical Galton–Watson process. Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 1, pp. 181-182. http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a19/
@article{TVP_1975_20_1_a19,
author = {S. V. Nagaev and N. V. Vakhrushev},
title = {An estimation of probabilites of large deviations for a~critical {Galton{\textendash}Watson} process},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {181--182},
year = {1975},
volume = {20},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a19/}
}
TY - JOUR
AU - S. V. Nagaev
AU - N. V. Vakhrushev
TI - An estimation of probabilites of large deviations for a critical Galton–Watson process
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1975
SP - 181
EP - 182
VL - 20
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a19/
LA - ru
ID - TVP_1975_20_1_a19
ER -
%0 Journal Article
%A S. V. Nagaev
%A N. V. Vakhrushev
%T An estimation of probabilites of large deviations for a critical Galton–Watson process
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1975
%P 181-182
%V 20
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a19/
%G ru
%F TVP_1975_20_1_a19
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), $\alpha>0$.
