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On the distribution of the first passage time of a random walk to an arbitrary remote boundary Full article

Journal Theory of Probability and its Applications
ISSN: 0040-585X , E-ISSN: 1095-7219
Output data Year: 2017, Volume: 61, Number: 2, Pages: 235-254 Pages count : 20 DOI: 10.1137/S0040585X97T988125
Tags Arbitrary boundary; First passage time; Local and integral asymptotics; Overshoot
Authors Borovkov A.A. 1,2
Affiliations
1 Sobolev Institute of Mathematics SB RAS, Novosibirsk State University, Novosibirsk, Russian Federation
2 Novosibirsk State University

Abstract: Under conditions close to the minimal conditions, we find the local and integral asymptotics for the joint distribution of the first passage time by a random walk of an arbitrary remote boundary and the overshoot over that boundary. © 2017 Society for Industrial and Applied Mathematics.
Cite: Borovkov A.A.
On the distribution of the first passage time of a random walk to an arbitrary remote boundary
Theory of Probability and its Applications. 2017. V.61. N2. P.235-254. DOI: 10.1137/S0040585X97T988125 WOS Scopus OpenAlex
Identifiers:
Web of science: WOS:000404120400003
Scopus: 2-s2.0-85021239332
OpenAlex: W2716547559
Citing:
DB Citing
Scopus 2
OpenAlex 3
Web of science 3
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