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Matematicheskie Trudy, 2001, Volume 4, Number 1, Pages 68–93 (Mi mt5)  
This article is cited in 6 scientific papers (total in 6 papers)

Random Walks in the Positive Quadrant. III. Constants in an integral and a local theorem

A. A. Mogul'skiia, B. A. Rogozinb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
Full-text PDF (847 kB) Citations (6)
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Abstract: In this article, we obtain precise formulas for constants in the local and integral theorems proven in [1, 2]. We also propose a version of the integral theorem which complements the main result of [2] and give a probabilistic interpretation of a solution to an integral equation in the positive quadrant.
Key words: renewal function, renewal equation, factorization components.
Received: 23.06.2000
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: A. A. Mogul'skii, B. A. Rogozin, “Random Walks in the Positive Quadrant. III. Constants in an integral and a local theorem”, Mat. Tr., 4:1 (2001), 68–93; Siberian Adv. Math., 11:2 (2001), 35–59
Citation in format AMSBIB
\Bibitem{MogRog01}
\by A.~A.~Mogul'skii, B.~A.~Rogozin
\paper Random Walks in the~Positive Quadrant.~III. Constants in an integral and a~local theorem
\jour Mat. Tr.
\yr 2001
\vol 4
\issue 1
\pages 68--93
\mathnet{http://mi.mathnet.ru/mt5}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1850148}
\zmath{https://zbmath.org/?q=an:1004.60044|0991.60034}
\transl
\jour Siberian Adv. Math.
\yr 2001
\vol 11
\issue 2
\pages 35--59
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  • https://www.mathnet.ru/eng/mt/v4/i1/p68
    Cycle of papers
    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Abstract page:455
    Full-text PDF :123
    References:80
    First page:1
     
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