Teoriâ veroâtnostej i ee primeneniâ, Tome 5 (1960) no. 4, pp. 377-392
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A. A. Borovkov. Limit Theorems on the Distribution of Maximum of Sums of Bounded, Lattice Random Variables. II. Teoriâ veroâtnostej i ee primeneniâ, Tome 5 (1960) no. 4, pp. 377-392. http://geodesic.mathdoc.fr/item/TVP_1960_5_4_a0/
@article{TVP_1960_5_4_a0,
author = {A. A. Borovkov},
title = {Limit {Theorems} on the {Distribution} of {Maximum} of {Sums} of {Bounded,} {Lattice} {Random} {Variables.~II}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {377--392},
year = {1960},
volume = {5},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1960_5_4_a0/}
}
TY - JOUR
AU - A. A. Borovkov
TI - Limit Theorems on the Distribution of Maximum of Sums of Bounded, Lattice Random Variables. II
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1960
SP - 377
EP - 392
VL - 5
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1960_5_4_a0/
LA - ru
ID - TVP_1960_5_4_a0
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%0 Journal Article
%A A. A. Borovkov
%T Limit Theorems on the Distribution of Maximum of Sums of Bounded, Lattice Random Variables. II
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1960
%P 377-392
%V 5
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1960_5_4_a0/
%G ru
%F TVP_1960_5_4_a0
The second part of this paper contains the proofs of integral theorems concerning $$\bar s_n=\max\left({\xi_1+\xi_2 +\cdots+\xi_\nu}\right),\quad1\leq\nu\leq n$$ where $\xi_i$ are bounded, lattice, independent and identically distributed random variables.