Some Estimates for a One-Dimensional Birth and Death Process in a Random Environment

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Previous article Next article Some Estimates for a One-Dimensional Birth and Death Process in a Random EnvironmentA. A. ButovA. A. Butovhttps://doi.org/10.1137/1136067PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. Sh. Liptser and , A. N. Shiryaev, Martingale Theory, Nauka, Moscow, 1986, (In Russian.) 0654.60035 Google Scholar[2] Kiyoshi Kawazu and , Harry Kesten, On birth and death processes in symmetric random environment, J. Statist. Phys., 37 (1984), 561–576 86g:60101 0587.60088 CrossrefGoogle Scholar[3] A. A. Butov and , E. V. Krichagina, A functional limit theorem for a symmetric walk in a random environment, Russian Math. Surveys, 43 (1988), 163–164 0677.60076 CrossrefGoogle Scholar[4] Kiyoshi Kawazu, A one-dimensional birth and death process in random environment, Japan J. Appl. Math., 6 (1989), 97–109 90b:60115 0675.60072 CrossrefGoogle Scholar[5] Jean Jacod and , Albert N. Shiryaev, Limit theorems for stochastic processes, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Vol. 288, Springer-Verlag, Berlin, 1987xviii+601 89k:60044 0635.60021 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Estimating the Parameters of Distributed Productive Just-in-Time Systems27 March 2020 | Automation and Remote Control, Vol. 81, No. 3 Cross Ref Stochastic models of just-in-time systems and windows of vulnerability in terms of the processes of birth and death2 October 2019 | Вестник Самарского государственного технического университета. Серия «Физико-математические науки», Vol. 23, No. 3 Cross Ref Stochastic models of simple controlled systems just-in-time7 September 2018 | Вестник Самарского государственного технического университета. Серия «Физико-математические науки», Vol. 22, No. 3 Cross Ref On the problem of optimal instant observations of the linear birth and death processStatistics & Probability Letters, Vol. 101 Cross Ref Martingale Methods for Random Walks in a One-Dimensional Random EnvironmentA. A. Butov17 July 2006 | Theory of Probability & Its Applications, Vol. 39, No. 4AbstractPDF (1344 KB) Volume 36, Issue 3| 1992Theory of Probability & Its Applications History Submitted:20 December 1989Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1136067Article page range:pp. 578-583ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics