Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 3, pp. 484-494
Citer cet article
M. I. Gordin. On the behaviour of the variances of sums of random variables that form a stationary process. Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 3, pp. 484-494. http://geodesic.mathdoc.fr/item/TVP_1971_16_3_a5/
@article{TVP_1971_16_3_a5,
author = {M. I. Gordin},
title = {On the behaviour of the variances of sums of random variables that form a~stationary process},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {484--494},
year = {1971},
volume = {16},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1971_16_3_a5/}
}
TY - JOUR
AU - M. I. Gordin
TI - On the behaviour of the variances of sums of random variables that form a stationary process
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1971
SP - 484
EP - 494
VL - 16
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1971_16_3_a5/
LA - ru
ID - TVP_1971_16_3_a5
ER -
%0 Journal Article
%A M. I. Gordin
%T On the behaviour of the variances of sums of random variables that form a stationary process
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1971
%P 484-494
%V 16
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1971_16_3_a5/
%G ru
%F TVP_1971_16_3_a5
Some sufficient conditions are obtained for unboundedness of the variances of sums of random variables that form a stationary sequence. A number of applications of these results (e.g. to continued fractions) is described.
