On limit distributions of order statistics of a~multinomial distribution
Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 1, pp. 94-107

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Let the equiprobable multinomial distribution (with all cell probabilities equal) have $N$ categories and sample size $n$. By $\varkappa_1(n,N),\dots,\varkappa_N(n,N)$ we denote the sampling frequencies arranged in the increasing order. This paper deals with the study of asymptotic behaviour ofj order statistics $\varkappa_k(n,N)$, $k=1,\dots,N$ as $n,N\to\infty$ so that $n/N\ln N\le C\infty$.
@article{TVP_1971_16_1_a6,
     author = {G. I. Iv\v{c}enko},
     title = {On limit distributions of order statistics of a~multinomial distribution},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {94--107},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1971_16_1_a6/}
}
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G. I. Ivčenko. On limit distributions of order statistics of a~multinomial distribution. Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 1, pp. 94-107. http://geodesic.mathdoc.fr/item/TVP_1971_16_1_a6/