The Poisson Theorem and Markov Chains
M. G. Shur · Theory of Probability and Its Applications · 1985
Previous article Next article The Poisson Theorem and Markov ChainsM. G. ShurM. G. Shurhttps://doi.org/10.1137/1129013PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. A. Borovkov, Probability Theory, Nauka, Moscow, 1976, (In Russian.) 0463.60001 Google Scholar[2] Ulf Grenander, Probabilities on algebraic structures, John Wiley & Sons Inc., New York, 1963, 218– 34:6810 0131.34804 Google Scholar[3] B. P. Demidovitch, Lectures on the Mathematical Theory of Stability, Nauka, Moscow, 1967, (In Russian.) Google Scholar[4] T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York-Berlin, 1980 0435.47001 Google Scholar[5] Yu. V. Prochorov, Asymptotic behavior of the binomial distribution, Uspehi Matem. Nauk (N.S.), 8 (1953), 135–142, (In Russian.) 15,138g Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails A comparison between two indirect exponentiation methods and O.D.E. integration method for RAMS calculations based on homogeneous Markovian modelsReliability Engineering & System Safety, Vol. 51, No. 1 Cross Ref Pseudo-Poisson approximation for Markov chainsStochastic Processes and their Applications, Vol. 61, No. 1 Cross Ref Le Cam's Inequality and Poisson Approximations18 April 2018 | The American Mathematical Monthly, Vol. 101, No. 1 Cross Ref A note on the computation of Markovian systemsReliability Engineering & System Safety, Vol. 23, No. 3 Cross Ref Volume 29, Issue 1| 1985Theory of Probability & Its Applications History Submitted:07 February 1981Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1129013Article page range:pp. 124-126ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics