Controlled Branching Processes

Abstract

Previous article Next article Controlled Branching ProcessesB. A. Sevast'yanov and A. M. ZubkovB. A. Sevast'yanov and A. M. Zubkovhttps://doi.org/10.1137/1119002PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] B. A. Sevast'yanov, Branching Processes, Izd-vo "Nauka", Moscow, 1971, (In Russian.) Google Scholar[2] L. V. Levina, , A. M. Leontovich and , I. I. Shapiro-Pyatetskii, On a controlled branching process, Problemy Peredachi Informatsii, 4 (1968), 72–82, (In Russian.) 0259.60036 Google Scholar[3] A. V. Vasil'ev, On control of the size of a cell population consisting of two types, Problemy Peredachi Informatsii, 4 (1968), 84–85, (In Russian.) Google Scholar[4] V. A. Labkovskii, A limit theorem for generalized random branching processes depending on the size of the population, Theory Prob. Applications, 17 (1972), 72–85 10.1137/1117006 0279.60077 LinkGoogle Scholar[5] T. Fujimagari, Controlled Galton-Watson process and its asymptotic behavior, Second Japan–USSR Symposium on Probability Theory, Vol. 2, Kyoto, 1972, 252–262 Google Scholar[6] A. M. Zubkov, Life-periods of a branching process with immigration, Theory Prob. Applications, 17 (1972), 174–183 10.1137/1117018 0267.60084 LinkGoogle Scholar[7] James H. Foster, A limit theorem for a branching process with state-dependent immigration, Ann. Math. Statist., 42 (1971), 1773–1776 MR0348854 (50:1349) 0245.60063 CrossrefGoogle Scholar[8] Walter L. Smith and , William E. Wilkinson, On branching processes in random environments, Ann. Math. Statist., 40 (1969), 814–827 MR0246380 (39:7684) 0184.21103 CrossrefGoogle Scholar[9] D. J. Daley, Extinction conditions for certain bisexual Galton-Watson branching processes, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 9 (1968), 315–322 10.1007/BF00531755 MR0230383 (37:5945) 0157.46602 CrossrefGoogle Scholar[10] B. A. Sevast'yanov, Some generalization of branching processes, Second Japan-USSR Symposium on Probability Theory, Vol. 1, Kyoto, 1972, 61–68, (In Russian.) Google Scholar[11] B. A. Sevast'yanov and , A. M. Zubkov, Controlled branching processes, International Conference on the Theory of Probability and Mathematical Statistics, Vil'nyus, 1973, 223–224, (In Russian.) Google Scholar[12] A. N. Zubkov, A degeneracy condition for a bounded branching process, Mat. Zametki, 8 (1970), 9–18, (In Russian.) MR0267649 (42:2551) Google Scholar[13] William Feller, An introduction to probability theory and its applications. Vol. II, Second edition, John Wiley & Sons Inc., New York, 1971xxiv+669 MR0270403 (42:5292) 0219.60003 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails On supercritical branching processes with emigrationJournal of Applied Probability, Vol. 19 | 8 July 2022 Cross Ref Galton--Watson Processes and Their Role as Building Blocks for Branching ProcessesF. 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(online):1095-7219Publisher:Society for Industrial and Applied Mathematics