Estimates for the Convergence Rate to the Poisson Distribution for Random Sums of Independent Indicators

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Previous article Next article Estimates for the Convergence Rate to the Poisson Distribution for Random Sums of Independent IndicatorsP. L. LogunovP. L. Logunovhttps://doi.org/10.1137/1135083PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] I. Rakhimov, A limit theorem for random sums of dependent indicators and its applications in the theory of branching processes, Theory Probab. Appl., 32 (1987), 290–298 10.1137/1132038 0663.60025 LinkGoogle Scholar[2] A. M. Zubkov, Inequalities for the distributions of sums of functions of independent random variables, Math. Notes, 22 (1987), 745–758, (In Russian.) Google Scholar[3] V. M. Zolotarev, The Modern Theory of Summation of Independent Random Variables, Nauka, Moscow, 1986, (In Russian.) 0649.60016 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Poisson approximationProbability Surveys, Vol. 16, No. none Cross Ref On the distance between the distributions of random sums14 July 2016 | Journal of Applied Probability, Vol. 40, No. 1 Cross Ref Poisson and compound Poisson approximations for random sums of random variables14 July 2016 | Journal of Applied Probability, Vol. 33, No. 1 Cross Ref Volume 35, Issue 3| 1991Theory of Probability & Its Applications History Submitted:30 May 1988Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1135083Article page range:pp. 587-590ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics