Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 3, pp. 464-479
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V. M. Šurenkov. Random walks on the semi-axis. II. Limit distributions of boundary functionals. Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 3, pp. 464-479. http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a1/
@article{TVP_1981_26_3_a1,
author = {V. M. \v{S}urenkov},
title = {Random walks on the semi-axis. {II.~Limit} distributions of boundary functionals},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {464--479},
year = {1981},
volume = {26},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a1/}
}
TY - JOUR
AU - V. M. Šurenkov
TI - Random walks on the semi-axis. II. Limit distributions of boundary functionals
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1981
SP - 464
EP - 479
VL - 26
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a1/
LA - ru
ID - TVP_1981_26_3_a1
ER -
%0 Journal Article
%A V. M. Šurenkov
%T Random walks on the semi-axis. II. Limit distributions of boundary functionals
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1981
%P 464-479
%V 26
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a1/
%G ru
%F TVP_1981_26_3_a1
We prove some limit theorems for the joint distributions of values $\tau_z,x_{\tau_z},i_{\tau_z}(z\to\infty)$, where $\tau_z=\inf\{t\colon x_t\ge z\}$ and $(i_t,x_t)$, $t\ge 0$, is the homogeneous Markov–Feller process in the phase space $\{1,\dots,d\}\times[0,\infty)$ which is additive in the second component and has no negative jumps.
