Functional limit theorem for a stopped random walk attaining a high level-Reference-Cited by-同舟云学术

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Functional limit theorem for a stopped random walk attaining a high level

Published:2017-01-01 Issue:5 Volume:27 Page:
ISSN:0924-9265
Container-title:Discrete Mathematics and Applications
language:
Short-container-title:

Author:

Afanasyev Valeriy I.

Abstract

AbstractFor a stopped random walk with zero drift conditioned to attain a high level the theorem on the convergence in distribution to the Brownian high jump in the space

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

https://www.degruyter.com/document/doi/10.1515/dma-2017-0027/pdf

Reference18 articles.

1. “Conditioned limit theorems for waiting-time processes of the M/G/1 queue”;J. Appl. Probab,1983

2. “Arcsine law for branching processes in a random environment and Galton–Watson processes”;Theory Probab. Appl,2007

3. “On the maximum of a critical branching process in a random environment”;Discrete Math. Appl.,1999

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. LOCAL INVARIANCE PRINCIPLE FOR A RANDOM WALK WITH ZERO DRIFT;Journal of Mathematical Sciences;2022-10

2. On the Local Time of a Stopped Random Walk Attaining a High Level;Proceedings of the Steklov Institute of Mathematics;2022-03

3. О локальном времени остановленного случайного блуждания, достигающего высокого уровня;Trudy Matematicheskogo Instituta imeni V.A. Steklova;2022-03

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