Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 3, pp. 556-565
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Z. I. Bežaeva. Conditional Markov chains with denumerable set of states. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 3, pp. 556-565. http://geodesic.mathdoc.fr/item/TVP_1977_22_3_a8/
@article{TVP_1977_22_3_a8,
author = {Z. I. Be\v{z}aeva},
title = {Conditional {Markov} chains with denumerable set of states},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {556--565},
year = {1977},
volume = {22},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_3_a8/}
}
TY - JOUR
AU - Z. I. Bežaeva
TI - Conditional Markov chains with denumerable set of states
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1977
SP - 556
EP - 565
VL - 22
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1977_22_3_a8/
LA - ru
ID - TVP_1977_22_3_a8
ER -
%0 Journal Article
%A Z. I. Bežaeva
%T Conditional Markov chains with denumerable set of states
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1977
%P 556-565
%V 22
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1977_22_3_a8/
%G ru
%F TVP_1977_22_3_a8
Let $\zeta_t=(\xi_t,\eta_t)$ ($t=1,2,\dots$) be a denumerable homogeneous Markov chain. If $\eta_1,\dots,\eta_n$ are fixed, $\xi_t$ ($t=1,2,\dots,n$) is a conditional Markov chain. In this paper, ergodicity properties of such chains are proved.
