Necessary and Sufficient Convergence Conditions for the Convolution of Non-Identical Distributions Given on a Finite Group
В. М. Максимов · Theory of Probability and Its Applications · 1968
Previous article Next article Necessary and Sufficient Convergence Conditions for the Convolution of Non-Identical Distributions Given on a Finite GroupV. M. MaksimovV. M. Maksimovhttps://doi.org/10.1137/1113032PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Štefan Schwarz, Probabilities on non-commutative semigroups, Czechoslovak Math. J., 13 (88) (1963), 372–426 MR0160191 (28:3405) 0137.35302 Google Scholar[2] B. M. Kloss, Probability distributions on bicompact topological groups, Theor. Probability Appl., 4 (1959), 237–270 10.1137/1104026 MR0123348 (23:A676) LinkGoogle Scholar[3] V. M. Maksimov, On the convergence of products of independent random variables taking on values from an arbitrary finite group, Theory Prob. Applications, 12 (1967), 619–637 10.1137/1112077 0178.18803 LinkGoogle Scholar[4] N. N. Vorobev, Addition of independent random variables on finite abelian groups, Mat. Sbornik N.S., 34(76) (1954), 89–126, (In Russian.) MR0061774 (15,882f) Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Probability Measures on Topological SemigroupsProbability Measures on Semigroups | 1 Jan 1995 Cross Ref Necessary and sufficient conditions for the convergence of convolution products of non-identical distributions on finite abelian semigroupsJournal of Theoretical Probability, Vol. 7, No. 3 | 1 Jul 1994 Cross Ref Convolution products of nonidentical distributions on a topological semigroupJournal of Theoretical Probability, Vol. 5, No. 2 | 1 Apr 1992 Cross Ref Convolution products of non-identical distributions on a compact Abelian semigroupProbability Measures on Groups IX | 3 October 2006 Cross Ref Convergence of products of independent random variables with values in a discrete semigroupZeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol. 46, No. 2 | 1 Jan 1979 Cross Ref More on limit theorems for iterates of probability measures on semigroups and groupsZeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol. 46, No. 3 | 1 Jan 1979 Cross Ref Limit Theorems: Stochastic Matrices, Ergodic Markov Chains, and Measures on Semigroups**This work is supported by an NSF Grant No. MCS 77-03639.Probabilistic Analysis and Related Topics | 1 Jan 1979 Cross Ref Measures on semigroupsMeasures on Topological Semigroups: Convolution Products and Random Walks | 20 September 2006 Cross Ref Composition Convergent Sequences of Measures on Compact GroupsV. M. MaksimovTheory of Probability & Its Applications, Vol. 16, No. 1 | 17 July 2006AbstractPDF (1278 KB)Divisible Distributions on Finite GroupsV. M. MaksimovTheory of Probability & Its Applications, Vol. 16, No. 2 | 17 July 2006AbstractPDF (1179 KB)Convergence of Non-Homogeneous Bistochastic Markov ChainsV. M. MaksimovTheory of Probability & Its Applications, Vol. 15, No. 4 | 17 July 2006AbstractPDF (1730 KB) Volume 13, Issue 2| 1968Theory of Probability & Its Applications197-358 History Submitted:08 August 1966Published online:28 July 2006 InformationCopyright © 1968 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1113032Article page range:pp. 287-298ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics