An Estimate of the Rate of Convergence to the Poisson Distribution in Group Allocation of Particles

Previous article Next article An Estimate of the Rate of Convergence to the Poisson Distribution in Group Allocation of ParticlesV. G. MikhailovV. G. Mikhailovhttps://doi.org/10.1137/1122065PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] B. A. Sevast'yanov, Limit theorems in a scheme for allocation of particles in cells, Theory Prob. Appl., 11 (1966), 614–619 10.1137/1111067 0171.39402 LinkGoogle Scholar[2] V. F. Kolchin, The speed of convergence to limit distributions in the classical ball problem, Theory Prob. Appl., 11 (1966), 128–140 10.1137/1111009 0221.60009 LinkGoogle Scholar[3] R. J. Serfling, A general Poisson approximation theorem, Ann. Probability, 3 (1975), 726–731 MR0380946 (52:1843) 0321.60018 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Method of Moments and Sums of Random Indicators27 April 2022 | Proceedings of the Steklov Institute of Mathematics, Vol. 316, No. 1 Cross Ref Метод моментов и суммы случайных индикаторов19 April 2022 | Труды Математического института имени В. А. Стеклова, Vol. 316 Cross Ref Speed and concentration of the covering time for structured coupon collectors15 July 2020 | Advances in Applied Probability, Vol. 52, No. 2 Cross Ref The collector's problem with group drawings1 July 2016 | Advances in Applied Probability, Vol. 22, No. 4 Cross Ref Poisson limits for generalized random allocation problemsStatistics & Probability Letters, Vol. 8, No. 2 Cross Ref Limit Theorems for the Number of Empty Cells in an Equiprobable Scheme for Group Allocation of ParticlesV. A. Vatutin and V. G. Mikhailov17 July 2006 | Theory of Probability & Its Applications, Vol. 27, No. 4AbstractPDF (694 KB)Asymptotic Normality of the Number of Empty Cells for Group Allocation of ParticlesV. G. Mikhailov28 July 2006 | Theory of Probability & Its Applications, Vol. 25, No. 1AbstractPDF (514 KB)An Estimate of the Accuracy of a Poisson Approximation in the Problem of Allocating Particles in Cells A. M. Zubkov and V. G. Mikhailov17 July 2006 | Theory of Probability & Its Applications, Vol. 23, No. 4AbstractPDF (480 KB) Volume 22, Issue 3| 1978Theory of Probability & Its Applications History Submitted:06 June 1975Published online:28 July 2006 InformationCopyright © 1978 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1122065Article page range:pp. 554-562ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics