Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 4, pp. 1019-1028
Citer cet article
A. G. D'yachkov. Asymptotics of the Shannon entropy for sums of independent random variables. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 4, pp. 1019-1028. http://geodesic.mathdoc.fr/item/FPM_1996_2_4_a4/
@article{FPM_1996_2_4_a4,
author = {A. G. D'yachkov},
title = {Asymptotics of the {Shannon} entropy for sums of independent random variables},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {1019--1028},
year = {1996},
volume = {2},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_4_a4/}
}
TY - JOUR
AU - A. G. D'yachkov
TI - Asymptotics of the Shannon entropy for sums of independent random variables
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1996
SP - 1019
EP - 1028
VL - 2
IS - 4
UR - http://geodesic.mathdoc.fr/item/FPM_1996_2_4_a4/
LA - ru
ID - FPM_1996_2_4_a4
ER -
%0 Journal Article
%A A. G. D'yachkov
%T Asymptotics of the Shannon entropy for sums of independent random variables
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1996
%P 1019-1028
%V 2
%N 4
%U http://geodesic.mathdoc.fr/item/FPM_1996_2_4_a4/
%G ru
%F FPM_1996_2_4_a4
With the help of the local limit theorem we investigate the asymptotics of the Shannon entropy for sums of independent identically distributed random variables.