Potentials of Ergodic Chains, Semimarkov Processes and Sums of Non-Negative Variables
M. O. Dzhneid, N. A. Ruzhevich, V. M. Shurenkov · Theory of Probability and Its Applications · 1989
Previous article Next article Potentials of Ergodic Chains, Semimarkov Processes and Sums of Non-Negative VariablesM. O. Dzhneid, N. A. Ruzhevich, and V. M. ShurenkovM. O. Dzhneid, N. A. Ruzhevich, and V. M. Shurenkovhttps://doi.org/10.1137/1133076PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. S. Korolyuk and , A. F. Turbin, Markov Renewal Processes in Problems of Reliability of Systems, Naukova Dumka, Kiev, 1982, (In Russian.) 0508.60073 Google Scholar[2] S. Kh. Sirazhdinov and , Sh, K. Formanov, Limit Theorems for Sums of Random Vectors Forming a Markov Chain, Fan, Tashkent, 1979, (In Russian.) Google Scholar[3] V. V. Anisimov and , A. I. Chernyak, Convergence of sums of random variables satisfying a uniform strong mixing condition, Dokl. Akad. Nauk Ukrain. SSR Ser. A, (1983), 3–5, (In Russian.) 85d:60040 0539.60026 Google Scholar[4] V. M. Shurenkov and , Ya. I. Eleiko, Limit distributions of time averages for a semi-Markov process with finitely many states, Ukrainian Math. J., 31 (1979), 475–479 0434.60092 CrossrefGoogle Scholar[5] V. M. Shurenkov, Markov intervention of chance and limit theorems, Math. USSR Sb., 54 (1986), 161–183 0595.60029 CrossrefGoogle Scholar[6] V. M. Shurenkov, On the theory of Markov renewal, Theory Probab. Appl., 29 (1984), 247–265 10.1137/1129036 0557.60078 LinkGoogle Scholar[7] Walter Rudin, Functional analysis, McGraw-Hill Book Co., New York, 1973xiii+397 51:1315 0253.46001 Google Scholar[8] William Feller, An introduction to probability theory and its applications. Vol. II, John Wiley & Sons Inc., New York, 1966xviii+636 35:1048 0138.10207 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Volume 33, Issue 3| 1989Theory of Probability & Its Applications405-593 History Submitted:30 May 1985Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1133076Article page range:pp. 509-522ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics