Conditions for Degeneracy of $\varphi $-Branching Processes with Random $\varphi $

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Previous article Next article Conditions for Degeneracy of $\varphi $-Branching Processes with Random $\varphi $N. M. YanevN. M. Yanevhttps://doi.org/10.1137/1120052PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] B. A. Sevast'yanov and , A. M. Zubkov, Controlled branching processes, Theory Prob. Applications, 19 (1974), 14–24 10.1137/1119002 0308.60051 LinkGoogle Scholar[2] A. M. Zubkov, Analogies between Gallon–Watson processes and $\varphi$-branching processes, Theory Prob. Applications, 19 (1974), 309–331 10.1137/1119036 0321.60063 LinkGoogle Scholar[3] Frank Spitzer, Principles of random walk, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London, 1964xi+406 MR0171290 0119.34304 CrossrefGoogle Scholar[4] W. Feller, Introduction to Probability Theory and Its Applications, Vol. 1, Wiley, N.Y., 1966 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On supercritical branching processes with emigration8 July 2022 | Journal of Applied Probability, Vol. 19 Cross Ref Galton--Watson Processes and Their Role as Building Blocks for Branching ProcessesF. Thomas Bruss5 May 2022 | Theory of Probability & Its Applications, Vol. 67, No. 1AbstractPDF (412 KB)A note on the local asymptotic mixed normality of a controlled branching process with a random control functionStatistics & Probability Letters, Vol. 181 Cross Ref Galton-Watson processes and their role as building blocks for branching processes21 January 2022 | Теория вероятностей и ее применения, Vol. 67, No. 1 Cross Ref Approximate Bayesian computation in controlled branching processes: the role of summary statistics20 April 2020 | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. 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M. Yanev and K. V. Mitov17 July 2006 | Theory of Probability & Its Applications, Vol. 28, No. 3AbstractPDF (677 KB)Limit Theorems for a Critical Galton–Watson Branching Process with MigrationS. V. Nagaev and L. V. Khan28 July 2006 | Theory of Probability & Its Applications, Vol. 25, No. 3AbstractPDF (683 KB)A counterpart of the Borel-Cantelli lemma14 July 2016 | Journal of Applied Probability, Vol. 17, No. 4 Cross Ref Positive Recurrence of Multi-Dimensional Population-Dependent Branching Processes Cross Ref Volume 20, Issue 2| 1976Theory of Probability & Its Applications History Submitted:13 January 1975Published online:17 July 2006 InformationCopyright © 1976 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1120052Article page range:pp. 421-428ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics