Composition Convergent Sequences of Measures on Compact Groups

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Previous article Next article Composition Convergent Sequences of Measures on Compact GroupsV. M. MaksimovV. M. Maksimovhttps://doi.org/10.1137/1116004PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. M. Maksimov, Necessary and sufficient conditions for the convolution of non-identical distributions given on a finite group, Theory Prob. Applications, 13 (1968), 287–298 10.1137/1113032 0192.55402 LinkGoogle Scholar[2] V. V. Sazonov and , V. N. Tutubalin, Probability distributions on topological groups, Theory Prob. Applications, 11 (1966), 1–45 10.1137/1111001 0171.38701 LinkGoogle Scholar[3] L. S. Pontryagin, Topological groups, Translated from the second Russian edition by Arlen Brown, Gordon and Breach Science Publishers, Inc., New York, 1966xv+543 MR0201557 Google Scholar[4] A. Tortrat, Lois de probabilité sur un espace topologique complètement régulier et produits infinis à termes indépendants dans un groupe topologique, Ann. Inst. H. Poincaré Sect. B, 1 (1964/1965), 217–237 MR0178498 0137.35301 Google Scholar[5] V. M. Maksimov, An extension of K. Itô's theorem “on the independence of jumps of a process” to processes with independent increments which are given on topological groups with countable basis, Dokl. Akad. Nauk SSSR, 182 (1968), 38–41, (In Russian.) MR0239635 0184.40502 Google Scholar[6] V. M. Maksimov, On a dispersion theory of probability distributions on compact groups, Dokl. Akad. Nauk SSSR, 192 (1970), 732–735, (In Russian.) MR0264727 0218.60012 Google Scholar[7] K. Ito, Stochastic processes, Lecture Notes Series, No. 16, Matematisk Institut, Aarhus Universitet, Aarhus, 1969301 pp. (not consecutively paged) MR0260018 0226.60053 Google Scholar[8] V. M. Maksimov, A certain property of convergent products of independent random variables on compact Lie groups, Mat. Sb. (N.S.), 82 (124) (1970), 456–475, (In Russian.) MR0278348 0275.60041 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails The Kloss convergence principle for products of random variables with values in a compact group and distributions determined by a Markov chainDiscrete Mathematics and Applications, Vol. 18, No. 1 | 1 Jan 2008 Cross Ref Strong uniform convergence of composition sequences of probability measures on locally compact topological semigroupsScience in China Series A: Mathematics, Vol. 40, No. 1 | 1 Jan 1997 Cross Ref Probability Measures on Topological SemigroupsProbability Measures on Semigroups | 1 Jan 1995 Cross Ref Convolution products of nonidentical distributions on a topological semigroupJournal of Theoretical Probability, Vol. 5, No. 2 | 1 Apr 1992 Cross Ref Convolutions of Random Measures on a Compact GroupD. S. Mindlin and B. A. RubshteinTheory of Probability & Its Applications, Vol. 33, No. 2 | 17 July 2006AbstractPDF (322 KB)Convolution products of non-identical distributions on a compact Abelian semigroupProbability Measures on Groups IX | 3 October 2006 Cross Ref Some remarks on limits of iterates of probability measures on groups and semigroupsProbability Measures on Groups | 25 August 2006 Cross Ref Measures on semigroupsMeasures on Topological Semigroups: Convolution Products and Random Walks | 20 September 2006 Cross Ref Volume 16, Issue 1| 1971Theory of Probability & Its Applications1-198 History Submitted:11 March 1969Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1116004Article page range:pp. 55-73ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics