Local Limit Theorems for Critical Galton–Watson Processes with Decreasing Immigration

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Previous article Next article Local Limit Theorems for Critical Galton–Watson Processes with Decreasing ImmigrationI. RakhimovI. Rakhimovhttps://doi.org/10.1137/1133057PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. P. Chistyakov, Local limit theorems in the theory of branching random processes, Theory Probab. Appl., 2 (1957), 345–363 10.1137/1102024 LinkGoogle Scholar[2] S. V. Nagaev and , R. Mukhamedkhanova, Some limit theorems of the theory of branching random processesLimit Theorems and Statistical Inferences, Fan, Tashkent, 1966, 90–112, (In Russian) Google Scholar[3] H. Kesten, , P. Ney and , F. Spitzer, The Galton- Watson process with mean one and finite variance, Theory Probab. Appl., 11 (1966), 513–541 10.1137/1111059 LinkGoogle Scholar[4] Bernhard Mellein, Local limit theorems for the critical Galton-Watson process with immigration, Rev. Colombiana Mat., 16 (1982), 31–56 84a:60106 0489.60087 Google Scholar[5] V. A. Topchii, A local limit theorem for critical Bellman-Harris processes with discrete timeLimit theorems of probability theory and related questions, Trudy Inst. Mat., Vol. 1, “Nauka” Sibirsk. Otdel., Novosibirsk, 1982, 97–122, 207, (In Russian.) 84a:60108 Google Scholar[6] I. Rakhimov, Critical branching processes with infinite variance and decreasing immigration, Theory Probab. Appl., 31 (1986), 88–100 10.1137/1131008 0657.60107 LinkGoogle Scholar[7] I. S. Badalbaev and , I. Rakhimov, Critical branching processes with immigration of decreasing intensity, Theory Probab. Appl., 23 (1978), 259–268 10.1137/1123030 0421.60074 LinkGoogle Scholar[8] I. S. Badalbaev and , I. Rakhimov, Further results on branching random processes with immigration of decreasing intensity, Theory Probab. Appl., 28 (1983), 811–816 10.1137/1128080 0561.60088 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Homogeneous Branching Processes with Non-Homogeneous ImmigrationStochastics and Quality Control, Vol. 36, No. 2 | 8 January 2022 Cross Ref Volume 33, Issue 2| 1989Theory of Probability & Its Applications207-404 History Submitted:24 January 1986Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1133057Article page range:pp. 365-369ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics