Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 2, pp. 320-330
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O. G. Zhuravlev. Minimum sufficient statistics for a sequence of independent random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 2, pp. 320-330. http://geodesic.mathdoc.fr/item/TVP_1966_11_2_a6/
@article{TVP_1966_11_2_a6,
author = {O. G. Zhuravlev},
title = {Minimum sufficient statistics for a~sequence of independent random variables},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {320--330},
year = {1966},
volume = {11},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1966_11_2_a6/}
}
TY - JOUR
AU - O. G. Zhuravlev
TI - Minimum sufficient statistics for a sequence of independent random variables
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1966
SP - 320
EP - 330
VL - 11
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1966_11_2_a6/
LA - ru
ID - TVP_1966_11_2_a6
ER -
%0 Journal Article
%A O. G. Zhuravlev
%T Minimum sufficient statistics for a sequence of independent random variables
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1966
%P 320-330
%V 11
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1966_11_2_a6/
%G ru
%F TVP_1966_11_2_a6
A connection between minimum sufficient statistics and the density function of a sequence of independent random variables is found. The main result is contained in theorem 3 where the importance of exponential families of distributions (1) for decreasing the dimension of a minimum sufficient statistic is established.
