Research output: Contribution to journal › Article › peer-review
On the distribution of the trajectory maximum of a stochastic process with switchings. / Lotov, Vladimir Ivanovich; Xodjibayev, Vali Raximdjanovich.
In: Сибирские электронные математические известия, Vol. 17, 01.05.2020, p. 807-813.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - On the distribution of the trajectory maximum of a stochastic process with switchings
AU - Lotov, Vladimir Ivanovich
AU - Xodjibayev, Vali Raximdjanovich
PY - 2020/5/1
Y1 - 2020/5/1
N2 - We study a stochastic process with switchings between two stationary processes with independent increments while achieving regulatory barriers. The regulation is intended to keep under control the range of trajectories. At the same time the structure of the process allows the trajectories stay some time outside the band adjustments. The paper establishes limit theorem for the distribution of the maximum possible excess of the upper regulatory barrier.
AB - We study a stochastic process with switchings between two stationary processes with independent increments while achieving regulatory barriers. The regulation is intended to keep under control the range of trajectories. At the same time the structure of the process allows the trajectories stay some time outside the band adjustments. The paper establishes limit theorem for the distribution of the maximum possible excess of the upper regulatory barrier.
UR - http://www.scopus.com/inward/record.url?scp=85089239825&partnerID=8YFLogxK
U2 - 10.33048/SEMI.2020.17.058
DO - 10.33048/SEMI.2020.17.058
M3 - Article
AN - SCOPUS:85089239825
VL - 17
SP - 807
EP - 813
JO - Сибирские электронные математические известия
JF - Сибирские электронные математические известия
SN - 1813-3304
ER -
ID: 24955432