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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 047, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.047 (Mi sigma1346) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Strong Ratio Limit Property for Discrete-Time Birth-Death Processes

Erik A. van Doorn

Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
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DOI: https://doi.org/10.3842/SIGMA.2018.047
Abstract: A sufficient condition is obtained for a discrete-time birth-death process to possess the strong ratio limit property, directly in terms of the one-step transition probabilities of the process. The condition encompasses all previously known sufficient conditions.
Keywords: (a)periodicity; birth-death process; orthogonal polynomials; random walk measure; ratio limit; transition probability.
Received: January 3, 2018; in final form May 13, 2018; Published online May 15, 2018
Bibliographic databases:
Document Type: Article
MSC: 60J80; 42C05
Language: English
Citation: Erik A. van Doorn, “On the Strong Ratio Limit Property for Discrete-Time Birth-Death Processes”, SIGMA, 14 (2018), 047, 9 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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