Comparaison, des mesures portées par un ensemble convexe compact
Bulletin de la Société Mathématique de France, Tome 92 (1964), pp. 435-445. 
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     title = {Comparaison, des mesures port\'ees par un ensemble convexe compact},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
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     url = {https://www.numdam.org/articles/10.24033/bsmf.1615/}
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Cartier, Pierre; Fell, J.M.G.; Meyer, Paul-André. Comparaison, des mesures portées par un ensemble convexe compact. Bulletin de la Société Mathématique de France, Tome 92 (1964), pp. 435-445. doi : 10.24033/bsmf.1615. https://www.numdam.org/articles/10.24033/bsmf.1615/

[1] Blackwell (D.). Comparison of experiments, Proceedings of the Second Berkeley Symposium on mathematical Statistics and Probability [1950. Berkeley] ; p. 93-102. Berkeley, Los Angeles, University of California Press, 1951. | Zbl

[2] Bourbaki (N.). Topologie générale. Chap. 10. Paris, Hermann, 1961, (Act. scient. et ind., 1084 ; Bourbaki, 10). | Zbl

[3] Bourbaki (N.). Intégration. Chap. 6. Paris, Hermann, 1959, (Act. scient. et ind., 1281 ; Bourbaki, 25). | Zbl

[4] Choquet (G.). Le théorème de représentation intégrale dans les ensembles convexes compacts, Ann. Inst. Fourier, Grenoble, t. 10, 1960, p. 333-344. | Numdam | MR | Zbl

[5] Choquet (G.) et Meyer (P.-A.). Existence et unicité des représentations intégrales dans les convexes compacts quelconques, Ann. Inst. Fourier, Grenoble, t. 13, 1962, p. 139-154. | Numdam | MR | Zbl

[6] Hardy (G. H.), Littlewood (J. E.) and Polyá (G.). Inequalities, 2nd ed. Cambridge, Cambridge University Press, 1952. | JFM | MR | Zbl

[7] Loomis (L. H.). Unique direct integral decompositions on convex sets, Amer. J. of Math., t. 84, 1962, p. 509-526. | MR | Zbl

[8] Sherman (S.). On a theorem of Hardy, Littlewood, Polyá, and Blackwell, Proc. Nat. Acad. Sc. U. S. A., t. 37, 1951, p. 826-831. | MR | Zbl

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  • Kutateladze, S. S. DIDO’S PROBLEM AND BEYOND, Journal of Mathematical Sciences, Volume 271 (2023) no. 6, p. 778 | DOI:10.1007/s10958-023-06899-9
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  • Hogeboom-Burr, Ian; Yuksel, Serdar, 2020 IEEE International Symposium on Information Theory (ISIT) (2020), p. 1361 | DOI:10.1109/isit44484.2020.9174378
  • Shah, Sudhir A. How risky is a random process?, Journal of Mathematical Economics, Volume 72 (2017), p. 70 | DOI:10.1016/j.jmateco.2017.06.005
  • Schlicht, Robert Dual representation of convex sets of probability measures on totally bounded spaces, Positivity, Volume 20 (2016) no. 1, p. 209 | DOI:10.1007/s11117-015-0351-7
  • Beiglböck, Mathias; Juillet, Nicolas On a problem of optimal transport under marginal martingale constraints, The Annals of Probability, Volume 44 (2016) no. 1 | DOI:10.1214/14-aop966
  • Hirsch, Francis; Roynette, Bernard On ℝd-valued peacocks, ESAIM: Probability and Statistics, Volume 17 (2013), p. 444 | DOI:10.1051/ps/2012009
  • Carlier, G.; Dana, R.-A.; Galichon, A. Pareto efficiency for the concave order and multivariate comonotonicity, Journal of Economic Theory, Volume 147 (2012) no. 1, p. 207 | DOI:10.1016/j.jet.2011.11.011
  • JENKINSON, OLIVER; STEEL, JACOB Majorization of invariant measures for orientation-reversing maps, Ergodic Theory and Dynamical Systems, Volume 30 (2010) no. 5, p. 1471 | DOI:10.1017/s0143385709000686
  • Gossner, Olivier; Hörner, Johannes When is the lowest equilibrium payoff in a repeated game equal to the payoff?, Journal of Economic Theory, Volume 145 (2010) no. 1, p. 63 | DOI:10.1016/j.jet.2009.07.002
  • Kutateladze, S. S. Multiobjective problems of convex geometry, Siberian Mathematical Journal, Volume 50 (2009) no. 5, p. 887 | DOI:10.1007/s11202-009-0099-z
  • Borcea, Julius Choquet order for spectra of higher Lamé operators and orthogonal polynomials, Journal of Approximation Theory, Volume 151 (2008) no. 2, p. 164 | DOI:10.1016/j.jat.2007.09.004
  • Kutateladze, S. S. Interaction of order and convexity, Journal of Applied and Industrial Mathematics, Volume 1 (2007) no. 4, p. 399 | DOI:10.1134/s1990478907040011
  • Borcea, Julius Equilibrium points of logarithmic potentials induced by positive charge distributions. I. Generalized de Bruijn-Springer relations, Transactions of the American Mathematical Society, Volume 359 (2007) no. 7, p. 3209 | DOI:10.1090/s0002-9947-07-04251-1
  • Valadier, Michel What Is to be a Mean?, Nonsmooth Mechanics and Analysis, Volume 12 (2006), p. 47 | DOI:10.1007/0-387-29195-4_5
  • Leitner, Johannes Dilatation monotonous Choquet integrals, Journal of Mathematical Economics, Volume 41 (2005) no. 8, p. 994 | DOI:10.1016/j.jmateco.2005.02.001
  • Fonf, V.P.; Lindenstrauss, J.; Phelps, R.R. Infinite Dimensional Convexity, Volume 1 (2001), p. 599 | DOI:10.1016/s1874-5849(01)80017-6
  • Toader, Anca-Maria Links between Young measures associated to constrained sequences, ESAIM: Control, Optimisation and Calculus of Variations, Volume 5 (2000), p. 579 | DOI:10.1051/cocv:2000122
  • Elton, J; Hill, T.P On the Basic Representation Theorem for Convex Domination of Measures, Journal of Mathematical Analysis and Applications, Volume 228 (1998) no. 2, p. 449 | DOI:10.1006/jmaa.1998.6158
  • Elton, J.; Hill, T. P. Fusions of a Probability Distribution: Preliminary Announcement, Theory of Probability Its Applications, Volume 37 (1993) no. 2, p. 328 | DOI:10.1137/1137068
  • Matsuoka, Cho-Ichiro Jensen measures of uniform algebras, Israel Journal of Mathematics, Volume 61 (1988) no. 2, p. 155 | DOI:10.1007/bf02766206
  • Bibliography, Probabilities and Potential C - Potential Theory for Discrete and Continuous Semigroups, Volume 151 (1988), p. 387 | DOI:10.1016/s0304-0208(08)71921-2
  • Buja, Andreas Simultaneously least favorable experiments, Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, Volume 65 (1984) no. 3, p. 367 | DOI:10.1007/bf00533742
  • References, Convex Cones, Volume 56 (1981), p. 403 | DOI:10.1016/s0304-0208(08)71030-2
  • Dang-Ngoc-Nghiem On the integral representation of states on a C*-algebra, Communications in Mathematical Physics, Volume 40 (1975) no. 3, p. 223 | DOI:10.1007/bf01609999
  • Shashkin, Yu. A. Convex sets, extreme points, and simplexes, Journal of Soviet Mathematics, Volume 4 (1975) no. 6, p. 625 | DOI:10.1007/bf01083882
  • Wegmann, Rudolf Zur Existenz von Wahrscheinlichkeitsma�en mit vorgegebenen Marginalen, Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, Volume 19 (1971) no. 1, p. 43 | DOI:10.1007/bf01111207
  • Ruelle, David Integral representation of states on a C∗-algebra, Journal of Functional Analysis, Volume 6 (1970) no. 1, p. 116 | DOI:10.1016/0022-1236(70)90051-0
  • Heyer, Herbert Ersch�pftheit und Invarianz beim Vergleich von Experimenten, Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, Volume 12 (1969) no. 1, p. 21 | DOI:10.1007/bf00538521

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