Matematičeskie zametki, Tome 5 (1969) no. 3, pp. 305-316
Citer cet article
I. I. Viktorova. Asymptotic behavior of maximum of an equiprobable polynomial scheme. Matematičeskie zametki, Tome 5 (1969) no. 3, pp. 305-316. http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a3/
@article{MZM_1969_5_3_a3,
author = {I. I. Viktorova},
title = {Asymptotic behavior of maximum of an~equiprobable polynomial scheme},
journal = {Matemati\v{c}eskie zametki},
pages = {305--316},
year = {1969},
volume = {5},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a3/}
}
TY - JOUR
AU - I. I. Viktorova
TI - Asymptotic behavior of maximum of an equiprobable polynomial scheme
JO - Matematičeskie zametki
PY - 1969
SP - 305
EP - 316
VL - 5
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a3/
LA - ru
ID - MZM_1969_5_3_a3
ER -
%0 Journal Article
%A I. I. Viktorova
%T Asymptotic behavior of maximum of an equiprobable polynomial scheme
%J Matematičeskie zametki
%D 1969
%P 305-316
%V 5
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a3/
%G ru
%F MZM_1969_5_3_a3
An equiprobable polynomial scheme is considered with $N$ outcomes and $n$ independent trials. For $n/N\ln N\to\infty$ the asymptotic distribution is studied of the quantity $\rho=\max\limits_{1\leqslant i\leqslant N}\xi_i$, где $\xi_i$, where $\xi_i$ is the number of occurrences of the $i$-th outcome.
