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Asymptotics of the Distribution Tail of the Sojourn Time for a Random Walk in a Domain of Moderate Large Deviations. / Borisov, I. S.; Shefer, E. I.

In: Siberian Advances in Mathematics, Vol. 30, No. 3, 01.07.2020, p. 162-176.

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Borisov IS, Shefer EI. Asymptotics of the Distribution Tail of the Sojourn Time for a Random Walk in a Domain of Moderate Large Deviations. Siberian Advances in Mathematics. 2020 Jul 1;30(3):162-176. doi: 10.3103/S1055134420030025

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@article{a0f6073d0d5c4cb1943ce98eb2b1755b,
title = "Asymptotics of the Distribution Tail of the Sojourn Time for a Random Walk in a Domain of Moderate Large Deviations",
abstract = "An asymptotics is obtained for the distribution tail of the sojourn time for a homogeneousrandom walk defined on [0,n], above areceding level in a domain of moderate large deviations under Cram{\'e}r{\textquoteright}s condition on thejump distribution.",
keywords = "Cram{\'e}r{\textquoteright}s condition, moderate large deviations, random walk, sojourn time",
author = "Borisov, {I. S.} and Shefer, {E. I.}",
year = "2020",
month = jul,
day = "1",
doi = "10.3103/S1055134420030025",
language = "English",
volume = "30",
pages = "162--176",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "PLEIADES PUBLISHING INC",
number = "3",

}

RIS

TY - JOUR

T1 - Asymptotics of the Distribution Tail of the Sojourn Time for a Random Walk in a Domain of Moderate Large Deviations

AU - Borisov, I. S.

AU - Shefer, E. I.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - An asymptotics is obtained for the distribution tail of the sojourn time for a homogeneousrandom walk defined on [0,n], above areceding level in a domain of moderate large deviations under Cramér’s condition on thejump distribution.

AB - An asymptotics is obtained for the distribution tail of the sojourn time for a homogeneousrandom walk defined on [0,n], above areceding level in a domain of moderate large deviations under Cramér’s condition on thejump distribution.

KW - Cramér’s condition

KW - moderate large deviations

KW - random walk

KW - sojourn time

UR - http://www.scopus.com/inward/record.url?scp=85089543676&partnerID=8YFLogxK

U2 - 10.3103/S1055134420030025

DO - 10.3103/S1055134420030025

M3 - Article

AN - SCOPUS:85089543676

VL - 30

SP - 162

EP - 176

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 3

ER -

ID: 24985439