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Asymptotic Behavior of the Mean Sojourn Time for a Random Walk to be in a Domain of Large Deviations Full article

Journal Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126
Output data Year: 2020, Volume: 30, Number: 2, Pages: 77-90 Pages count : 14 DOI: 10.3103/S1055134420020017
Tags large deviations; mean sojourn time; random walk
Authors Borisov I.S. 1,2 , Shefer E.I. 1
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
2 Novosibirsk State University, Novosibirsk, 630090, Russian Federation

Abstract: Abstract: We study the asymptotic behavior of the mean of sojourn time for a homogeneous randomwalk defined on [0,n] to be above a receding curvilinear boundaryin a domain of large deviations under Cramér’s condition on the jump distribution. © 2020, Allerton Press, Inc.
Cite: Borisov I.S. , Shefer E.I.
Asymptotic Behavior of the Mean Sojourn Time for a Random Walk to be in a Domain of Large Deviations
Siberian Advances in Mathematics. 2020. V.30. N2. P.77-90. DOI: 10.3103/S1055134420020017 Scopus OpenAlex
Identifiers:
Scopus: 2-s2.0-85086250488
OpenAlex: W3034955210
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