The Numbers of Generations in a Branching Process with an Arbitrary Set of Particle Types

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Previous article Next article The Numbers of Generations in a Branching Process with an Arbitrary Set of Particle TypesB. P. KharlamovB. P. Kharlamovhttps://doi.org/10.1137/1114056PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] 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[2] Paul R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New York, N. Y., 1950xi+304 MR0033869 0040.16802 CrossrefGoogle Scholar[3] B. V. Gnedenko, Course in Probability Theory, Fizmatgiz, Moscow, 1961 Google Scholar[4] J. L. Doob, Stochastic processes, John Wiley & Sons Inc., New York, 1953viii+654 MR0058896 0053.26802 Google Scholar[5] Yu. V. Prokhorov and , Yu. A. Rozanov, Theory of Probability, Izd-vo “Nauka”, Moscow, 1967 Google Scholar[6] J. E. Moyal, Multiplicative population chains, Proc. Roy. Soc. Ser. A, 266 (1962), 518–526 MR0138132 0108.32701 CrossrefGoogle Scholar[7] B. P. Kharlamov, On the generation numbers of particles in a branching process with overlapping generations, Theory Prob. Applications, 14 (1969), 44–50 10.1137/1114005 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails First Passage Percolation on the Newman–Watts Small World ModelJournal of Statistical Physics, Vol. 162, No. 4 | 21 January 2016 Cross Ref First Passage Percolation on Inhomogeneous Random GraphsAdvances in Applied Probability, Vol. 47, No. 02 | 22 February 2016 Cross Ref First Passage Percolation on Inhomogeneous Random GraphsAdvances in Applied Probability, Vol. 47, No. 2 | 22 February 2016 Cross Ref Invariance principle for random processes on Galton-Watson treesJournal of Mathematical Analysis and Applications, Vol. 60, No. 2 | 1 Sep 1977 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 An age dependent branching process with variable lifetime distribution: The generation sizeAdvances in Applied Probability, Vol. 6, No. 2 | 1 July 2016 Cross Ref Random variables, trees, and branching random walksAdvances in Mathematics, Vol. 10, No. 3 | 1 Jun 1973 Cross Ref Volume 14, Issue 3| 1969Theory of Probability & Its Applications373-534 History Submitted:22 February 1968Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1114056Article page range:pp. 432-449ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics