Answers are grounded in this paper and cite their sources.
Previous article Next article Limit Theorems for the Number of Empty Cells in an Equiprobable Scheme for Group Allocation of ParticlesV. A. Vatutin and V. G. MikhailovV. A. Vatutin and V. G. Mikhailovhttps://doi.org/10.1137/1127084PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. F. Kolchin, , B. A. Sevast'yanov and , V. P. Chistyakov, Random allocations, V. H. Winston & Sons, Washington, D.C., 1978xi+262 57:10758b 0464.60003 Google Scholar[2] B. A. Sevast'yanov, Limit theorems in a scheme for allocation of particles in cells, Theory Prob. Appl., 11 (1966), 614–619 0171.39402 LinkGoogle Scholar[3] V. G. Mihailov, A Poisson limit theorem in a scheme for group allocation of particles, Theory Prob. Appl., 22 (1977), 152–156 0377.60029 LinkGoogle Scholar[4] V. G. Mihailov, An estimate for the rate of convergence to the Poisson distribution in group allocation of particles, Theory Prob. Appl., 22 (1977), 554–562 LinkGoogle Scholar[5] V. G. Mihailov, Asymptotic normality of the number for group of particles, Theory Prob. Appl., 25 (1980), 82–90 LinkGoogle Scholar[6] V. G. Mikhailov, Convergence to a multi-dimensional normal law in an equiprobable scheme for group allocation of particles, Math. USSR-Sb., 39 (1981), 145–168 CrossrefGoogle Scholar[7] V. N. Sachkov, Probabilistic Methods in Combinatorial Analysis, Nauka, Moscow, 1978, (In Russian.) 0517.05001 Google Scholar[8] V. V. Petrov, Sums of independent random variables, Springer-Verlag, New York, 1975x+346 52:9335 0322.60042 CrossrefGoogle Scholar[9] M. L. Platonov, Combinatorial Numbers of a Class of Mappings and Their Applications, Nauka, Moscow, 1979, (In Russian.) 0597.05004 Google Scholar[10] B. A. Sevasty'anov, , V. P. Chistyakov and , A. M. Zubkov, Collection of Problems in Probability Theory, Nauka, Moscow, 1980, (In Russian.) 0697.60001 Google Scholar[11] L. Harper, Stirling behavior is asymptotically normal, Ann. Math. Statist., 38 (1961), 410–414 0154.43703 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Degree sequences of sufficiently dense random uniform hypergraphs15 August 2022 | Combinatorics, Probability and Computing, Vol. 4 Cross Ref Method of Moments and Sums of Random Indicators27 April 2022 | Proceedings of the Steklov Institute of Mathematics, Vol. 316, No. 1 Cross Ref Moment Characteristics of a Random Mapping with Restrictions on Component Sizes27 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 Моментные характеристики случайного отображения с ограничениями на размеры компонент19 April 2022 | Труды Математического института имени В. А. Стеклова, Vol. 316 Cross Ref Stein’s method and Narayana numbersStatistics & Probability Letters, Vol. 165 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 Poisson limit theorems in allocation schemes of distinguishable particlesUfa Mathematical Journal, Vol. 12, No. 3 Cross Ref List colorings of multipartite hypergraphs1 April 2019 | Random Structures & Algorithms, Vol. 55, No. 4 Cross Ref Asymptotics of multivariate contingency tables with fixed marginalsJournal of Statistical Planning and Inference, Vol. 198 Cross Ref General Forms of Finite Population Central Limit Theorems with Applications to Causal Inference26 January 2018 | Journal of the American Statistical Association, Vol. 112, No. 520 Cross Ref Polynomial-time perfect matchings in dense hypergraphsAdvances in Mathematics, Vol. 269 Cross Ref Poisson Sample Size and Poisson Representation29 September 2014 Cross Ref An Urn Model for Population Mixing and the Phases Within26 February 2012 | Methodology and Computing in Applied Probability, Vol. 15, No. 3 Cross Ref A Pólya Approximation to the Poisson-Binomial Law4 February 2016 | Journal of Applied Probability, Vol. 49, No. 03 Cross Ref A Pólya Approximation to the Poisson-Binomial Law4 February 2016 | Journal of Applied Probability, Vol. 49, No. 3 Cross Ref Gaussian phases in generalized coupon collection1 July 2016 | Advances in Applied Probability, Vol. 42, No. 4 Cross Ref On Asymptotic Expansion in the Random Allocation of Particles by Sets22 April 2009 | Journal of Theoretical Probability, Vol. 23, No. 3 Cross Ref Phases in the Diffusion of Gases via the Ehrenfest URN Modelx14 July 2016 | Journal of Applied Probability, Vol. 47, No. 3 Cross Ref Stochastic ordering of classical discrete distributions1 July 2016 | Advances in Applied Probability, Vol. 42, No. 2 Cross Ref Normal Approximation for Isolated Balls in an Urn Allocation ModelElectronic Journal of Probability, Vol. 14, No. none Cross Ref Poisson Sample Size and Poisson Representation15 August 2006 Cross Ref The Frobenius–Harper technique in a general recurrence model14 July 2016 | Journal of Applied Probability, Vol. 36, No. 1 Cross Ref Some Probabilistic Aspects of Set Partitions10 April 2018 | The American Mathematical Monthly, Vol. 104, No. 3 Cross Ref Limit Theorems for a Random Covering of a Finite Setand for the Number of Solutions of a System of Random EquationsV. G. Mikhailov25 July 2006 | Theory of Probability & Its Applications, Vol. 41, No. 2AbstractPDF (477 KB)A Refinement of the Central Limit Theorem for Sums of Independent Random IndicatorsA. Yu. Volkova12 July 2006 | Theory of Probability & Its Applications, Vol. 40, No. 4AbstractPDF (442 KB)Oriented hamilton cycles in digraphsJournal of Graph Theory, Vol. 19, No. 4 Cross Ref On a Refinement of the Central Limit Theorem for Sums of Independent Random IndicatorsV. G. Mikhailov17 July 2006 | Theory of Probability & Its Applications, Vol. 38, No. 3AbstractPDF (814 KB)PROBABILITY APPROXIMATIONS FOR DIVISIBLE DISCRETE DISTRIBUTIONS28 June 2008 | Australian Journal of Statistics, Vol. 36, No. 3 Cross Ref Binomial approximation to the Poisson binomial distributionStatistics & Probability Letters, Vol. 11, No. 1 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 Some applications of the Stein-Chen method for proving Poisson convergence1 July 2016 | Advances in Applied Probability, Vol. 21, No. 1 Cross Ref Rates of Poisson convergence for some coverage and urn problems using coupling14 July 2016 | Journal of Applied Probability, Vol. 25, No. 4 Cross Ref The Distribution of the Number of Empty Cells in a Generalized Random Allocation Scheme Cross Ref Estimates of Proximity to the Normal Distribution in Sampling without ReplacementSh. A. Mirakhmedov17 July 2006 | Theory of Probability & Its Applications, Vol. 30, No. 3AbstractPDF (1044 KB) Volume 27, Issue 4| 1983Theory of Probability & Its Applications History Submitted:09 April 1981Published online:17 July 2006 InformationCopyright © 1983 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1127084Article page range:pp. 734-743ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics
No takes yet. Share an insight, caveat, or question.
Vatutin et al. (1983) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: