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Teoriya Veroyatnostei i ee Primeneniya, 2023, Volume 68, Issue 2, Pages 209–235
DOI: https://doi.org/10.4213/tvp5512 (Mi tvp5512) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a rate of convergence for the arcsine law

I. S. Borisov, E. I. Shefer

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.4213/tvp5512
Abstract: We study the rate of convergence of the distribution of the normalized sojourn time of a classical random walk above some nonnegative level to its limit law with unboundedly growing observation time.
Keywords: random walk, sojourn time of random walk in a domain, arcsine law.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0015
Received: 28.06.2021
Revised: 14.06.2022
Accepted: 10.06.2022
Published: 21.04.2023
English version:
Theory of Probability and its Applications, 2023, Volume 68, Issue 2, Pages 175–197
DOI: https://doi.org/10.1137/S0040585X97T991350
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. S. Borisov, E. I. Shefer, “On a rate of convergence for the arcsine law”, Teor. Veroyatnost. i Primenen., 68:2 (2023), 209–235; Theory Probab. Appl., 68:2 (2023), 175–197
Citation in format AMSBIB
\Bibitem{BorShe23}
\by I.~S.~Borisov, E.~I.~Shefer
\paper On a rate of convergence for the arcsine law
\jour Teor. Veroyatnost. i Primenen.
\yr 2023
\vol 68
\issue 2
\pages 209--235
\mathnet{http://mi.mathnet.ru/tvp5512}
\crossref{https://doi.org/10.4213/tvp5512}
\transl
\jour Theory Probab. Appl.
\yr 2023
\vol 68
\issue 2
\pages 175--197
\crossref{https://doi.org/10.1137/S0040585X97T991350}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85179373759}
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  • https://doi.org/10.4213/tvp5512
  • https://www.mathnet.ru/eng/tvp/v68/i2/p209
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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