Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 2, pp. 278-288
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G. I. Ivchenko. On the limit distributions for middle order statistics in a scheme of series. Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 2, pp. 278-288. http://geodesic.mathdoc.fr/item/TVP_1974_19_2_a3/
@article{TVP_1974_19_2_a3,
author = {G. I. Ivchenko},
title = {On the limit distributions for middle order statistics in a~scheme of series},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {278--288},
year = {1974},
volume = {19},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1974_19_2_a3/}
}
TY - JOUR
AU - G. I. Ivchenko
TI - On the limit distributions for middle order statistics in a scheme of series
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1974
SP - 278
EP - 288
VL - 19
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1974_19_2_a3/
LA - ru
ID - TVP_1974_19_2_a3
ER -
%0 Journal Article
%A G. I. Ivchenko
%T On the limit distributions for middle order statistics in a scheme of series
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1974
%P 278-288
%V 19
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1974_19_2_a3/
%G ru
%F TVP_1974_19_2_a3
Let $\xi_1,\dots,\xi_N$ be $N$ independent observations of a random variable $\xi$ and $\xi_{(m)}$ be the $m$-th order statistic of this sample. Asymptotic behaviour of $\xi_{(m)}$ is studied when the distribution of $\xi$ is the convolution of $n$ identical distributions and $n\to\infty$, $m\to\infty$$N-m\to\infty$ together with $N\to\infty$.
