A Problem of the Allocation of Particles in Cells and Random Mappings

Abstract

Previous article Next article A Problem of the Allocation of Particles in Cells and Random MappingsV. F. KolchinV. F. Kolchinhttps://doi.org/10.1137/1121004PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. E. Stepanov, Limit distributions of certain characteristics of random mappings, Theory Prob. Applications, 14 (1969), 612–626 10.1137/1114078 LinkGoogle Scholar[2] V. F. Kolchin and , V. P. Chistyakov, Combinatorial problems in probability theory“Results of Science and Technology. Probability Theory. Mathematical Statistics. Theoretical Cyberne-tics”, Vol. 11, Izd-vo VINITI, Moscow, 1974, 5–54, (All-Union Institute of Scientific and Technical Information), (In Russian.) Google Scholar[3] V. F. Kolchin, A problem of the allocation of particles in cells and cycles of random permutations, Theory Prob. Applications, 16 (1971), 74–90 10.1137/1116005 0239.60014 LinkGoogle Scholar[4] Leo Katz, Probability of indecomposability of a random mapping function, Ann. Math. Statist., 26 (1955), 512–517 MR0070869 0065.11604 CrossrefGoogle Scholar[5] John Riordan, Enumeration of linear graphs for mappings of finite sets, Ann. Math. Statist., 33 (1962), 178–185 MR0133250 0204.57203 CrossrefGoogle Scholar[6] V. F. Kolčin, A certain class of limit theorems for conditional distributions, Litovsk. Mat. Sb., 8 (1968), 53–63 MR0240856 Google Scholar[7] V. F. Kolchin, On the limiting behavior of extreme order statistics in a polynomial scheme, Theory Prob. Applications, 14 (1969), 458–469 10.1137/1114058 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails A note on the Screaming Toes game17 January 2022 | Journal of Applied Probability, Vol. 59, No. 1 Cross Ref Random Mappings with Restricted Preimages Cross Ref Random Mappings of Finite Sets with a Known Number of ComponentsA. N. Timashev25 July 2006 | Theory of Probability & Its Applications, Vol. 48, No. 4AbstractPDF (151 KB)The number of components in a logarithmic combinatorial structureThe Annals of Applied Probability, Vol. 10, No. 2 Cross Ref Limit Theorems for Combinatorial Structures via Discrete Process ApproximationsRandom Structures and Algorithms, Vol. 3, No. 3 Cross Ref Functionals of random mappings: exact and asymptotic results1 July 2016 | Advances in Applied Probability, Vol. 23, No. 03 Cross Ref Functionals of random mappings: exact and asymptotic results1 July 2016 | Advances in Applied Probability, Vol. 23, No. 3 Cross Ref A Graph-Valued Markov Process as Rings-Allowed Polymerization Model: Subcritical BehaviorB. Pittel and W. A. Woyczynski10 July 2006 | SIAM Journal on Applied Mathematics, Vol. 50, No. 4AbstractPDF (1852 KB)The distribution and moments of the number of components of a random function14 July 2016 | Journal of Applied Probability, Vol. 27, No. 01 Cross Ref The distribution and moments of the number of components of a random function14 July 2016 | Journal of Applied Probability, Vol. 27, No. 1 Cross Ref Population Genetics Theory - The Past and the Future Cross Ref Goodness-of-Fit Tests for Generalized Urn Schemes Based on Separable StatisticsA. F. Ronzhin17 July 2006 | Theory of Probability & Its Applications, Vol. 33, No. 1AbstractPDF (980 KB)Local Limit Theorems for the Number of Components of Random Permutations and MappingsA. I. Pavlov17 July 2006 | Theory of Probability & Its Applications, Vol. 33, No. 1AbstractPDF (384 KB)Limit theorem concerning random mapping patternsCombinatorica, Vol. 8, No. 4 Cross Ref Probability Distributions and Asymptotics for some Characteristics of Random Mappings Cross Ref Asymptotic Results for an Epidemic Process on Random Graphs Cross Ref Asymptotic Normality in the Scheme of Simple Random Sampling without ReplacementG. I. Ivchenko and V. V. Levin17 July 2006 | Theory of Probability & Its Applications, Vol. 23, No. 1AbstractPDF (1006 KB)The Asymptotic Distribution of Maximum Tree Size in a Random ForestYu. L. Pavlov28 July 2006 | Theory of Probability & Its Applications, Vol. 22, No. 3AbstractPDF (726 KB) Volume 21, Issue 1| 1976Theory of Probability & Its Applications History Submitted:06 May 1976Published online:17 July 2006 InformationCopyright © 1976 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1121004Article page range:pp. 48-63ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics