Reduced Branching Processes

Abstract

Previous article Next article Reduced Branching ProcessesA. L. YakymivA. L. Yakymivhttps://doi.org/10.1137/1125069PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Patrick Billingsley, Convergence of probability measures, John Wiley & Sons Inc., New York, 1968xii+253 38:1718 0172.21201 Google 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] B. A. Sewast'yanow, Verzweigungsprozesse, Akademie-Verlag, Berlin, 1974xi+326, (German translation), Branching Processes, Nauka, Moscow, 1971. (In Russian.) 53:11785 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] R. R. Rao, Relations between weak and uniform convergence of measures with applications, Ann. Math. Statist., 33 (1962), 659–680 25:1258 CrossrefGoogle Scholar[6] Eugene Seneta, Regularly varying functions, Springer-Verlag, Berlin, 1976v+112, Lecture Notes in Mathematics, 508 56:12189 0324.26002 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Typical Behavior of the Harmonic Measure in Critical Galton–Watson Trees with Infinite Variance Offspring Distribution16 March 2017 | Journal of Theoretical Probability, Vol. 31, No. 3 Cross Ref The Structure of the Decomposable Reduced Branching Processes. I. Finite-Dimensional Distributions19 November 2015 | Theory of Probability & Its Applications, Vol. 59, No. 4AbstractPDF (254 KB)The harmonic measure of balls in critical Galton-Watson trees with infinite variance offspring distributionElectronic Journal of Probability, Vol. 19, No. none Cross Ref Reduced Branching Processes with Very Heavy Tails14 July 2016 | Journal of Applied Probability, Vol. 45, No. 1 Cross Ref Reduced Branching Processes in Random Environment: The Critical Case25 July 2006 | Theory of Probability & Its Applications, Vol. 47, No. 1AbstractPDF (180 KB)The general coalescent with asynchronous mergers of ancestral lines14 July 2016 | Journal of Applied Probability, Vol. 36, No. 4 Cross Ref The Total Number of Particles in a Reduced Bellman-Harris Branching Process17 July 2006 | Theory of Probability & Its Applications, Vol. 38, No. 3AbstractPDF (407 KB)Reduced Critical Bellman–Harris Branching Process with Several Types of Particles28 July 2006 | Theory of Probability & Its Applications, Vol. 30, No. 4AbstractPDF (868 KB)Asymptotic Properties of Subcritical and Supercritical Reduced Branching Processes28 July 2006 | Theory of Probability & Its Applications, Vol. 30, No. 1AbstractPDF (572 KB) Volume 25, Issue 3| 1981Theory of Probability & Its Applications History Submitted:11 May 1979Published online:28 July 2006 InformationCopyright © 1981 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1125069Article page range:pp. 584-588ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics