Certain Asymptotic Results for Random Walks in a Strip

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Previous article Next article Certain Asymptotic Results for Random Walks in a StripL. G. Afanas’eva and E. V. BulinskayaL. G. Afanas’eva and E. V. Bulinskayahttps://doi.org/10.1137/1129094PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] L. G. Afanas'eva and , E. V. Bulinskaya, Random Processes in the Theory of Queueing and Control of Reserves, Izd. MGU, Moscow, 1980, (In Russian.) Google Scholar[2] L. G. Afanas'eva and , E. V. Bulinskaya, Optimization of storage capacity, Izv. AN SSSR, Tekhn. Kibern., (1981), 58–68, (In Russian.) Google Scholar[3] L. G. Afanas'eva and , E. V. Bulinskaya, Certain asymptotic results for random walks in a strip, The Third Vilnius Conference on Probability Theory and Mathemat. Statistics, Proceedings, Vol. 1, Vilnius, 1981, 25–26, (In Russian.) Google Scholar[4] L. G. Afanas'eva and , E. V. Bulinskaya, Systems with a reserve instrument, All-Union Seminar of Automated Queueing Systems, Proceedings, Nal'chik, 1982, 190–191, (In Russian.) Google Scholar[5] A. A. Borovkov, Stochastic processes in queueing theory, Springer-Verlag, New York, 1976xi+280 52:12118 0319.60057 CrossrefGoogle Scholar[6] A. A. Borovkov, Asymptotic methods in queuing theory, Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics, John Wiley & Sons Ltd., Chichester, 1984xi+292 85f:60134 0544.60085 Google Scholar[7] V. S. Korolyuk and , Yu. V. Borovskikh, Analytical Problems of the Asymptotic Behavior of Probabilistic Distributions, Naukova Dumka, Kiev, 1981, (In Russian.) Google Scholar[8] V. I. Lotov, The asymptotic behavior of distributions connected with the exit of a nondiscrete random walk from an intervalLimit theorems of probability theory and related questions, Trudy Inst. Mat., Vol. 1, “Nauka” Sibirsk. Otdel., Novosibirsk, 1982, 18–25, 206, Tr. In-ta Matematiki SO AN SSSR 83m:60095 Google Scholar[9] A. A. Mogul'skii, The exact asymptotic expression in a two-boundary problem for random walks, 1981, Preprint, In-t Matem. SO AN SSSR, Novosibirsk, (In Russian.) Google Scholar[10] N. U. Prabhu, Stochastic Processes (Queueing and Storage), Indian Statistical Institute, Calcutta, 1961 Google Scholar[11] B. A. Rogozin, On the distribution of the first jump, Theory Prob. Appl., 9 (1964), 450–465 LinkGoogle Scholar[12] L. Takacs, Combinatorial methods in the theory of stochastic processes, John Wiley & Sons Inc., New York, 1967xi+262 36:947 0162.21303 Google Scholar[13] W. Feller, An Introduction to Probability Theory and Its Applications, Vol. 2, Wiley, New York, 1977 Google Scholar[14] N. U. Prabhu, Stochastic Storage Processes, Springer-Verlag, New York-Berlin-Heidelberg, 1981 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Decision-making algorithms for learning and adaptation with application to COVID-19 dataSignal Processing, Vol. 194 Cross Ref Asymptotic expansions for the moments of the Gaussian random walk with two barriersStatistics & Probability Letters, Vol. 69, No. 1 Cross Ref Volume 29, Issue 4| 1985Theory of Probability & Its Applications History Submitted:08 December 1981Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1129094Article page range:pp. 677-693ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics