Limit Theorems in a Scheme for Allocation of Particles in Cells

Previous article Next article Limit Theorems in a Scheme for Allocation of Particles in CellsB. A. Sevast’yanovB. A. Sevast’yanovhttps://doi.org/10.1137/1111067PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] B. A. Sevast'yanov and , V. P. Chistyakov, Asymptotic normality in the classical ball problem, Theory Prob. Applications, 9 (1964), 198–211, (English translation.) 10.1137/1109034 0142.14704 LinkGoogle Scholar[2] A. Rényi, Three new proofs and a generalization of a theorem of Irving Weiss, Magyar Tud. Akad. Mat. Kutató Int. Közl., 7 (1962), 203–214 MR0148094 Google Scholar[3] A. Békéssy, On classical occupancy problems. I, Magyar Tud. Akad. Mat. Kutató Int. Közl., 8 (1963), 59–71 MR0165545 0126.34101 Google Scholar[4] P. Erdo˝s and , A. Rényi, On a classical problem of probability theory, Magyar Tud. Akad. Mat. Kutató Int. Közl., 6 (1961), 215–220 MR0150807 Google Scholar[5] A. Békéssy, A lottójátékal kapesolatos néhany cellabetöltésci problémázól. I, Mat. Lapok, 15 (1964), 317–329 Google Scholar[6] G. I. Ivchenko and , Yu. I. Medvedev, Asymptotic behavior of the number of particle complexes in a classical allocation problem, Theory Prob. Applications, 11 (1966), 619–629, (English translation.) 10.1137/1111068 0171.39403 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Assessing System-Level Energy Efficiency of mmWave-Based Wearable NetworksIEEE Journal on Selected Areas in Communications, Vol. 34, No. 4 | 1 Apr 2016 Cross Ref In Memory of B. A. Sevast'yanov (29.09.1923--30.08.2013)V. A. Vatutin and A. M. ZubkovTheory of Probability & Its Applications, Vol. 60, No. 1 | 3 March 2016AbstractPDF (168 KB)A capacity bound for mmWave-based channel access in ultra-dense wearable deployments2015 7th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT) | 1 Oct 2015 Cross Ref A Functional Limit Theorem for Random Variables with Strong Residual DependenceO. V. RusakovTheory of Probability & Its Applications, Vol. 40, No. 4 | 12 July 2006AbstractPDF (1917 KB)The collector's problem with group drawingsAdvances in Applied Probability, Vol. 22, No. 04 | 1 July 2016 Cross Ref The collector's problem with group drawingsAdvances in Applied Probability, Vol. 22, No. 4 | 1 July 2016 Cross Ref Limit Theorems for the Number of Empty Cells in an Equiprobable Scheme for Group Allocation of ParticlesV. A. Vatutin and V. G. MikhailovTheory of Probability & Its Applications, Vol. 27, No. 4 | 17 July 2006AbstractPDF (694 KB)Asymptotic Normality of the Number of Empty Cells for Group Allocation of ParticlesV. G. MikhailovTheory of Probability & Its Applications, Vol. 25, No. 1 | 28 July 2006AbstractPDF (514 KB)Some Limit Theorems in a Non-Equiprobable Scheme for the Allocation of Particles in GroupsV. A. Ivanov and S. Yu. TerebulinTheory of Probability & Its Applications, Vol. 23, No. 3 | 17 July 2006AbstractPDF (653 KB)An Estimate of the Rate of Convergence to the Poisson Distribution in Group Allocation of ParticlesV. G. MikhailovTheory of Probability & Its Applications, Vol. 22, No. 3 | 28 July 2006AbstractPDF (629 KB)Asymptotic Behavior of the Number of Particle Complexes in a Classical Allocation ProblemG. I. Ivchenko and Yu. J. MedvedevTheory of Probability & Its Applications, Vol. 11, No. 4 | 17 July 2006AbstractPDF (645 KB) Volume 11, Issue 4| 1966Theory of Probability & Its Applications497-643 History Submitted:28 December 1965Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1111067Article page range:pp. 614-619ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics