Reduced Critical Bellman–Harris Branching Process with Several Types of Particles

Previous article Next article Reduced Critical Bellman–Harris Branching Process with Several Types of ParticlesS. M. SagitovS. M. Sagitovhttps://doi.org/10.1137/1130097PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. M. Zubkov, Limiting distributions of the distance to the closest common ancestor, Theory Prob. Appl., 20 (1975), 602–612 0348.60118 LinkGoogle Scholar[2] V. A. Vatutin, Limit theorems for critical multitype Markov branching processes with infinite second moments, Mat. Sb. (N.S.), 103(145) (1977), 253–264, 319, (In Russian.) 56:1488 Google Scholar[3] V. A. Vatutin, The distance to the nearest common ancestor in Bellman-Harris branching processes, Mat. Zametki, 25 (1979), 733–741, 799, (In Russian.) 81f:60079 Google Scholar[4] Klaus Fleischmann and , Rainer Siegmund-Schultze, The structure of reduced critical Galton-Watson processes, Math. Nachr., 79 (1977), 233–241 57:1674 0299.60065 CrossrefGoogle Scholar[5] A. L. Yakymiv, Reduced branching processes, Theory Prob. Appl., 25 (1980), 584–588 LinkGoogle Scholar[6] A. L. Jakymiv, Multidimensional Tauberian theorems and their application to Bellman-Harris branching processes, Mat. Sb. (N.S.), 115(157) (1981), 463–477, 496, (In Russian.) 82m:60103 0469.60085 Google Scholar[7] S. M. Sagitov, Common ancestors in critical Bellman-Harris branching processes with several types of particles, Izv. Akad. Nauk Kazakh. SSR Ser. Fiz.-Mat., (1982), 66–69, (In Russian.) 84a:60107 0499.60090 Google Scholar[8] V. A. Vatutin, A limit theorem for a critical Bellman-Harris branching process with several types of particles and infinite second moments, Theory Prob. Appl., 23 (1978), 776–788 0422.60062 LinkGoogle Scholar[9] B. A. Sevast'yanov, Branching Processes, Nauka, Moscow, 1971, (In Russian.) Google Scholar[10] V. M. Shurenkov, A note on a multi-dimensional renewal equation, Theory Prob. Appl., 20 (1975), 833–836 0363.60077 LinkGoogle Scholar[11] Patrick Billingsley, Convergence of probability measures, John Wiley & Sons Inc., New York, 1968xii+253 38:1718 0172.21201 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Reduced multitype critical branching processes in random environmentDiscrete Mathematics and Applications, Vol. 28, No. 1 Cross Ref Редуцированные критические ветвящиеся процессы Беллмана - Харрисадля малых популяцийДискретная математика, Vol. 30, No. 3 Cross Ref Редуцированные многотипные критические ветвящиеся процессы в случайной средеДискретная математика, Vol. 28, No. 4 Cross Ref The Structure of the Decomposable Reduced Branching Processes. I. Finite-Dimensional DistributionsV. A. Vatutin19 November 2015 | Theory of Probability & Its Applications, Vol. 59, No. 4AbstractPDF (254 KB)Reduced Branching Processes in Random Environment: The Critical CaseV. A. Vatutin25 July 2006 | Theory of Probability & Its Applications, Vol. 47, No. 1AbstractPDF (180 KB)The Total Number of Particles in a Reduced Bellman-Harris Branching ProcessV. A. Vatutin17 July 2006 | Theory of Probability & Its Applications, Vol. 38, No. 3AbstractPDF (407 KB) Volume 30, Issue 4| 1986Theory of Probability & Its Applications History Submitted:20 September 1983Published online:28 July 2006 InformationCopyright © 1986 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1130097Article page range:pp. 783-796ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics

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