Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2018) no. 3, pp. 83-90
Citer cet article
S. G. Kobelkov. Ruin probability for a Gaussian process with variance attaining its maximum on discrete sets. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2018) no. 3, pp. 83-90. http://geodesic.mathdoc.fr/item/FPM_2018_22_3_a4/
@article{FPM_2018_22_3_a4,
author = {S. G. Kobelkov},
title = {Ruin probability for {a~Gaussian} process with variance attaining its maximum on discrete sets},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {83--90},
year = {2018},
volume = {22},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2018_22_3_a4/}
}
TY - JOUR
AU - S. G. Kobelkov
TI - Ruin probability for a Gaussian process with variance attaining its maximum on discrete sets
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2018
SP - 83
EP - 90
VL - 22
IS - 3
UR - http://geodesic.mathdoc.fr/item/FPM_2018_22_3_a4/
LA - ru
ID - FPM_2018_22_3_a4
ER -
%0 Journal Article
%A S. G. Kobelkov
%T Ruin probability for a Gaussian process with variance attaining its maximum on discrete sets
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2018
%P 83-90
%V 22
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_2018_22_3_a4/
%G ru
%F FPM_2018_22_3_a4
Ruin probability for a Gaussian locally stationary process is considered in the case where the process variance attains its maximum in a finite number of points. The double sum method is applied to calculate exact asymptotics of the corresponding probability. Also, we consider a family of processes with variance that has a countable set of maximum points containing a limit point.