On the Generation Numbers of Particles in a Branching Process with Overlapping Generations

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Previous article Next article On the Generation Numbers of Particles in a Branching Process with Overlapping GenerationsB. P. KharlamovB. P. Kharlamovhttps://doi.org/10.1137/1114005PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Theodore E. Harris, The theory of branching processes, Die Grundlehren der Mathematischen Wissenschaften, Bd. 119, Springer-Verlag, Berlin, 1963xiv+230 MR0163361 0117.13002 CrossrefGoogle Scholar[2] William Feller, An introduction to probability theory and its applications. Vol. II, John Wiley & Sons Inc., New York, 1966xviii+636 MR0210154 0138.10207 Google Scholar[3] B. P. Kharlamov, On properties of branching processes with an arbitrary set of particle types, Theory Prob. Applications, 13 (1968), 84–98 10.1137/1113006 0196.18902 LinkGoogle Scholar[4] J. E. Moyal, Multiplicative population proceses, J. Appl. Probability, 1 (1964), 267–283 MR0170395 0203.17303 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Induced Cell Proliferation Kinetics within the Framework of a Branching Process ModelTransient Processes in Cell Proliferation Kinetics | 1 Jan 1989 Cross Ref Branching random walks IStochastic Processes and their Applications, Vol. 4, No. 1 | 1 Jan 1976 Cross Ref Composition and invariance methods for solving optimal control problemsAdvances in Applied Probability, Vol. 6, No. 02 | 1 July 2016 Cross Ref On the family structure of populationsAdvances in Applied Probability, Vol. 6, No. 02 | 1 July 2016 Cross Ref An age dependent branching process with variable lifetime distribution: The generation sizeAdvances in Applied Probability, Vol. 6, No. 02 | 1 July 2016 Cross Ref Composition and invariance methods for solving optimal control problemsAdvances in Applied Probability, Vol. 6, No. 02 | 1 July 2016 Cross Ref On the family structure of populationsAdvances in Applied Probability, Vol. 6, No. 2 | 1 July 2016 Cross Ref An age dependent branching process with variable lifetime distribution: The generation sizeAdvances in Applied Probability, Vol. 6, No. 2 | 1 July 2016 Cross Ref The Numbers of Generations in a Branching Process with an Arbitrary Set of Particle TypesTheory of Probability & Its Applications, Vol. 14, No. 3 | 17 July 2006AbstractPDF (1042 KB) Volume 14, Issue 1| 1969Theory of Probability & Its Applications1-181 History Submitted:16 March 1967Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1114005Article page range:pp. 44-50ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics