Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 1, pp. 196-198
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P. Mateev. On the entropy of a multinomial distribution. Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 1, pp. 196-198. http://geodesic.mathdoc.fr/item/TVP_1978_23_1_a19/
@article{TVP_1978_23_1_a19,
author = {P. Mateev},
title = {On the entropy of a~multinomial distribution},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {196--198},
year = {1978},
volume = {23},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1978_23_1_a19/}
}
TY - JOUR
AU - P. Mateev
TI - On the entropy of a multinomial distribution
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1978
SP - 196
EP - 198
VL - 23
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1978_23_1_a19/
LA - ru
ID - TVP_1978_23_1_a19
ER -
%0 Journal Article
%A P. Mateev
%T On the entropy of a multinomial distribution
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1978
%P 196-198
%V 23
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1978_23_1_a19/
%G ru
%F TVP_1978_23_1_a19
It is shown that the multinomial distribution corresponding to $n$ independent trials with probabilities $p_0,\dots,p_{t+1}$ of $t+1$ outcomes in each trial, has the maximal entropy if $p_0=\dots=p_t=1/(1+t)$.
