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Theoretical analysis characterizes homogeneous branching processes across finite particle types, highlighting mathematical formulations for continuous-state population growth.
Previous article Next article Homogeneous Branching Processes with a Finite Number of Types and Continuously Varying MassYu. M. Ryzhov and A. V. SkorokhodYu. M. Ryzhov and A. V. Skorokhodhttps://doi.org/10.1137/1115077PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Miloslav Jiřina, Branching processes with measure-valued statesTrans. Third Prague Conf. Information Theory, Statist. Decision Functions, Random Processes (Liblice, 1962), Publ. House Czech. Acad. Sci., Prague, 1964, 333–357 MR0168028 0212.49503 Google Scholar[2] John Lamperti, Continuous state branching processes, Bull. Amer. Math. Soc., 73 (1967), 382–386 MR0208685 0173.20103 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Construction of continuous-state branching processes in varying environmentsThe Annals of Applied Probability, Vol. 32, No. 5 Cross Ref Ergodicities and Exponential Ergodicities of Dawson--Watanabe Type ProcessesZ. Li5 August 2021 | Theory of Probability & Its Applications, Vol. 66, No. 2AbstractPDF (539 KB)Ergodicities and exponential ergodicities of Dawson-Watanabe type processes22 April 2021 | Теория вероятностей и ее применения, Vol. 66, No. 2 Cross Ref A continuous-state polynomial branching processStochastic Processes and their Applications, Vol. 129, No. 8 Cross Ref Limiting behavior of a generalized branching process with immigrationStatistics & Probability Letters, Vol. 78, No. 3 Cross Ref On a stochastic model for continuous mass branching populationMathematics and Computers in Simulation, Vol. 76, No. 1-3 Cross Ref Skew convolution semigroups and affine Markov processesThe Annals of Probability, Vol. 34, No. 3 Cross Ref Summary of Reports Presented at Sessions of the Seminar in Probability Theory and Mathematical Statistics at the Shevchenko State University, Kiev17 July 2006 | Theory of Probability & Its Applications, Vol. 30, No. 3AbstractPDF (1098 KB)Transitional Phenomena and the Convergence of Galton–Watson Processes to Jiřina ProcessesS. A. Aliev and V. M. Shurenkov17 July 2006 | Theory of Probability & Its Applications, Vol. 27, No. 3AbstractPDF (870 KB) Volume 15, Issue 4| 1970Theory of Probability & Its Applications History Submitted:04 July 1969Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1115077Article page range:pp. 704-707ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics
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Ryzhov et al. (1970) studied this question.
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