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Teoriya Veroyatnostei i ee Primeneniya, 2008, Volume 53, Issue 2, Pages 345–349
DOI: https://doi.org/10.4213/tvp2413 (Mi tvp2413) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Short Communications

A Note on the Distribution of the Number of Crossings of a Strip by a Random Walk

I. S. Borisov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (789 kB) Citations (7)
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DOI: https://doi.org/10.4213/tvp2413
Abstract: This paper is essentially an improved result from [V. I. Lotov and N. G. Orlova, Sb. Math., 194 (2003), pp. 927–939], where a formula was obtained for the distribution of the number of crossings of a strip by paths of a random walk defined by an infinite sequence of the partial sums of independent random variables having a common “two-sided geometric” distribution.
Keywords: random walk, partial sum process, Markovian property of jump.
Received: 21.06.2005
Revised: 10.01.2008
English version:
Theory of Probability and its Applications, 2009, Volume 53, Issue 2, Pages 312–316
DOI: https://doi.org/10.1137/S0040585X97983572
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. S. Borisov, “A Note on the Distribution of the Number of Crossings of a Strip by a Random Walk”, Teor. Veroyatnost. i Primenen., 53:2 (2008), 345–349; Theory Probab. Appl., 53:2 (2009), 312–316
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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