On a Class of Minimal Functionals on a Space of Probability Measures

Previous article Next article On a Class of Minimal Functionals on a Space of Probability MeasuresS. T. RachevS. T. Rachevhttps://doi.org/10.1137/1129004PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] L. V. Kantorovich, On the translocation of masses, Dokl. AN SSSR, 37 (1942), 199–201, (In Russian.) Google Scholar[2] L. V. Kantorovich, On a problem of Monge, Uspekhi Mat. Nauk, 3 (1948), 225–226, (In Russian.) Google Scholar[3] L. V. Kantorovich and , G. Sh. Rubenshtein, On a function space and some extremum problems, Dokl. AN SSSR, 115 (1957), 1058–1061, (In Russian.) Google Scholar[4] L. V. Kantorovich and , G. Sh. Rubenshtein, On a space of completely additive functions, Vestnik Leningrad. Univ., 13 (1958), 52–59, Ser. Mat., Mekh. i Astron., (In Russian.) 21:808 0082.11001 Google Scholar[5] V. N. Sudakov, Geometric problems of the theory of infinite-dimensional probability distributions, Trudy V. A. Steklov Mat. Inst. Akad. 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Appl., 20 (1975), 819–832 0351.60086 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Non-parametric estimation of integral probability metrics2010 IEEE International Symposium on Information Theory | 1 Jun 2010 Cross Ref On asymptotic properties of information-theoretic divergencesIEEE Transactions on Information Theory, Vol. 49, No. 7 | 1 Jul 2003 Cross Ref Bayesian Inference with Specified Prior MarginalsJournal of the American Statistical Association, Vol. 86, No. 416 | 1 Dec 1991 Cross Ref Volume functions of historical texts and the amplitude correlation principleComputers and the Humanities, Vol. 24, No. 3 | 1 Jun 1990 Cross Ref The problem of stability in queueing theoryQueueing Systems, Vol. 4, No. 4 | 1 Dec 1989 Cross Ref New duality theorems for Marginal problems with some applications in stochasticsStability Problems for Stochastic Models | 29 September 2006 Cross Ref Cutoff-type Boltzmann equations: Convergence of the solutionAdvances in Applied Mathematics, Vol. 8, No. 1 | 1 Mar 1987 Cross Ref The Convergence of the Solution of a Boltzmann Type Equation Related to Quantum MechanicsAdvances in the Statistical Sciences: Applied Probability, Stochastic Processes, and Sampling Theory | 1 Jan 1987 Cross Ref A characterization of queueing models and its stabilityJournal of Soviet Mathematics, Vol. 35, No. 2 | 1 Oct 1986 Cross Ref The Monge–Kantorovich Mass Transference Problem and Its Stochastic ApplicationsTheory of Probability & Its Applications, Vol. 29, No. 4 | 17 July 2006AbstractPDF (2779 KB)Extreme functionals in the space of probability measuresStability Problems for Stochastic Models | 16 September 2006 Cross Ref Kantorovich's functionals in space of measuresApplied Stochastic Analysis Cross Ref Volume 29, Issue 1| 1985Theory of Probability & Its Applications History Submitted:23 May 1981Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1129004Article page range:pp. 41-49ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics