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On the distribution of the trajectory maximum of a random walk with switchings. / Lotov, Vladimir Ivanovich.
в: Сибирские электронные математические известия, Том 16, 01.01.2019, стр. 998-1004.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On the distribution of the trajectory maximum of a random walk with switchings
AU - Lotov, Vladimir Ivanovich
PY - 2019/1/1
Y1 - 2019/1/1
N2 - We continue studying of the random walk introduced in [1]. The distribution of the random walk jumps changes under successive achievement regulatory boundaries. 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 theorems for the distribution of the maximum possible excess of the upper regulatory barrier.
AB - We continue studying of the random walk introduced in [1]. The distribution of the random walk jumps changes under successive achievement regulatory boundaries. 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 theorems for the distribution of the maximum possible excess of the upper regulatory barrier.
KW - Limit theorems
KW - Oscillating random walk
KW - Trajectory maximum
UR - http://www.scopus.com/inward/record.url?scp=85071165060&partnerID=8YFLogxK
UR - https://www.elibrary.ru/item.asp?id=42735112
U2 - 10.33048/semi.2019.16.068
DO - 10.33048/semi.2019.16.068
M3 - Article
AN - SCOPUS:85071165060
VL - 16
SP - 998
EP - 1004
JO - Сибирские электронные математические известия
JF - Сибирские электронные математические известия
SN - 1813-3304
ER -
ID: 21346911