The limit distribution of the extreme terms of the variational series under the large deviation type conditions for the sample mean .
Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 1, pp. 118-131
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Let $x_1,\dots x_n$ be independent observations of a random variable $\xi$, $\underline x=\min\limits_{1\le i\le n}x_i$, $\overline x=\max\limits_ {1\le i\le n}x_i$. Some theorems are proved concerning the distribution of $\underline x$ and $\overline x$ under the condition that the sum $x_1+\dots+x_n$ is large.
@article{TVP_1971_16_1_a8,
author = {A. V. Nagaev},
title = {The limit distribution of the extreme terms of the variational series under the large deviation type conditions for the sample mean .},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {118--131},
publisher = {mathdoc},
volume = {16},
number = {1},
year = {1971},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1971_16_1_a8/}
}
TY - JOUR AU - A. V. Nagaev TI - The limit distribution of the extreme terms of the variational series under the large deviation type conditions for the sample mean . JO - Teoriâ veroâtnostej i ee primeneniâ PY - 1971 SP - 118 EP - 131 VL - 16 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TVP_1971_16_1_a8/ LA - ru ID - TVP_1971_16_1_a8 ER -
%0 Journal Article %A A. V. Nagaev %T The limit distribution of the extreme terms of the variational series under the large deviation type conditions for the sample mean . %J Teoriâ veroâtnostej i ee primeneniâ %D 1971 %P 118-131 %V 16 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TVP_1971_16_1_a8/ %G ru %F TVP_1971_16_1_a8
A. V. Nagaev. The limit distribution of the extreme terms of the variational series under the large deviation type conditions for the sample mean .. Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 1, pp. 118-131. http://geodesic.mathdoc.fr/item/TVP_1971_16_1_a8/