Theory of Probability and Its Applications · 1977 · 13 citations · 6 references
EngineeringMathematicsDynamical SystemsProbability TheoryStochastic ProcessesMarkov ChainsMarkov ProcessesContinuous-time Markov ProcessesMonotonicity Conditions
Previous article Next article Comparability and Monotonicity of Markov ProcessesB. M. Kirstein, P. Franken, and D. StoyanB. M. Kirstein, P. Franken, and D. Stoyanhttps://doi.org/10.1137/1122004PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] D. J. Daley, Stochastically monotone Markov chains, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 10 (1968), 305–317 10.1007/BF00531852 MR0242270 0177.45604 CrossrefGoogle Scholar[2] Dietrich Stoyan, Qualitative Eigenschaften und Abschätzungen stochastischer Modelle, Akademie-Verlag, Berlin, 1977x+198 MR0455157 0356.60056 Google Scholar[3] D. Stoyan, Monotonieeigenschaften stochastischer Modelle, Z. Angew. Math. Mech., 52 (1972), 23–30 MR0298808 0226.60116 CrossrefGoogle Scholar[4] P. Franken and , D. Stoyan, Stability, monotonicity and extremity of the solution of the problems of mass service and reliability, Izv. AN SSSR, Ser. Tekhn. Kibernetika, 3 (1975), 89–102, (In Russian.) 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Stoyan, Some monotonicity properties of Galton-Watson processes, Biometrische Z., 16 (1974), 27–30 MR0397914 0276.60080 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Dobrushin Mean-Field Approach for Queueing Large-Scale Networks with a Small ParameterDistributed Computer and Communication Networks | 7 September 2017 Cross Ref Systems of Differential Equations of Infinite Order with Small Parameter and Countable Markov ChainsDistributed Computer and Communication Networks | 14 February 2017 Cross Ref Optimal retrial policies for restrained markov chainsCommunications in Statistics. 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Multivariate totally positive distributionsJournal of Multivariate Analysis, Vol. 10, No. 4 | 1 Dec 1980 Cross Ref Volume 22, Issue 1| 1977Theory of Probability & Its Applications1-202 History Submitted:04 May 1976Published online:17 July 2006 InformationCopyright © 1977 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1122004Article page range:pp. 40-52ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics
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