Previous article Next article A Critical Bellman–Harris Branching Process with Particles of Final TypeV. A. VatutinV. A. Vatutinhttps://doi.org/10.1137/1131057PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] B. A. Sevast'yanov, Verzweigungsprozesse, Akademie-Verlag, Berlin, 1974xi+326 53:11785 Google Scholar[2] V. A. Vatutin, Limit theorems for a critical Bellman–Harris branching process with infinite variance, Theory Probab. Appl., 21 (1976), 839–842 10.1137/1121098 0383.60079 LinkGoogle Scholar[3] V. A. Vatutin, Discrete limit distributions of the number of particles in critical Bellman–Harris branching processes, Theory Probab. Appl., 22 (1977), 146–151 10.1137/1122014 0391.60082 LinkGoogle Scholar[4] V. A. Vatutin, A new limit theorem for a critical Bellman-Harris branching process, Mat. Sb. (N.S.), 109(151) (1979), 440–452, 480, (In Russian.) 81b:60085 Google Scholar[5] V. A. Vatutin and , S. M. Sagitov, A decomposable critical branching process with two types of particles, Trudy Mat. Inst. Steklov., 177 (1986), 3–20, 207, (In Russian.) 87k:60196 0619.60079 Google Scholar[6] A. G. Pakes, A limit theorem for the integral of a critical age-dependent branching process, Math. Biosci., 13 (1972), 109–112 10.1016/0025-5564(72)90026-0 48:7404 0228.60034 CrossrefGoogle Scholar[7] Krishna B. Athreya and , Peter E. Ney, Branching processes, Springer-Verlag, New York, 1972xi+287 51:9242 0259.60002 CrossrefGoogle Scholar[8] S. V. Nagaev, Transition phenomena for age-dependent branching processes with discrete time. I, Sibirsk. Mat. Ž., 15 (1974), 368–394, 461, (In Russian.) 49:4108 Google Scholar[9] E. Seneta, Regularly Varying Functions, Nauka, Moscow, 1972, (In Russian.) Google Scholar[10] V. V. Petrov, Sums of independent random variables, Springer-Verlag, New York, 1975x+346 52:9335 0322.60042 CrossrefGoogle Scholar[11] A. L. Yakymiv, The asymptotic behavior of the probability of continuation of critical Bellman-Harris branching processes, Trudy Steklov Mat. Inst., 177 (1986), 177–205, (In Russian.) 0607.60075 Google Scholar[12] William Feller, An introduction to probability theory and its applications. Vol. II., Second edition, John Wiley & Sons Inc., New York, 1971xxiv+669 42:5292 0219.60003 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Branching Processes with Final Types of Particles and Random Trees17 July 2006 | Theory of Probability & Its Applications, Vol. 39, No. 4AbstractPDF (1118 KB)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) Volume 31, Issue 3| 1987Theory of Probability & Its Applications History Submitted:23 December 1985Published online:28 July 2006 InformationCopyright © 1987 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1131057Article page range:pp. 428-438ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics