Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 4, pp. 753-754
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V. V. Sazonov. On the limit behaviour of the maximal probability in infinite dimensional case. Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 4, pp. 753-754. http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a15/
@article{TVP_1965_10_4_a15,
author = {V. V. Sazonov},
title = {On the limit behaviour of the maximal probability in infinite dimensional case},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {753--754},
year = {1965},
volume = {10},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a15/}
}
TY - JOUR
AU - V. V. Sazonov
TI - On the limit behaviour of the maximal probability in infinite dimensional case
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1965
SP - 753
EP - 754
VL - 10
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a15/
LA - ru
ID - TVP_1965_10_4_a15
ER -
%0 Journal Article
%A V. V. Sazonov
%T On the limit behaviour of the maximal probability in infinite dimensional case
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1965
%P 753-754
%V 10
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1965_10_4_a15/
%G ru
%F TVP_1965_10_4_a15
It is shown that in infinite dimensional case the maximal probabilities of distributions which are convolutions of a lattice distribution descend to 0 quicker than any negative power of $n$. Moreover the limits for the speed of their convergence are indicated.
