Geodesic
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

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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 $N\to\infty$. 
@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},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1974_19_2_a3/}
}
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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/