Keywords: marginal problem; marginal system; simplicial measure; set of marginal uniqueness
@article{CMUC_1991_32_4_a16,
author = {Linhartov\'a, Petra},
title = {Extremal solutions of a general marginal problem},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {743--748},
year = {1991},
volume = {32},
number = {4},
mrnumber = {1159821},
zbl = {0751.60006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1991_32_4_a16/}
}
Linhartová, Petra. Extremal solutions of a general marginal problem. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 743-748. http://geodesic.mathdoc.fr/item/CMUC_1991_32_4_a16/
[1] Arnol'd V.I.: On functions of three variables (in Russian). Dokl. Akad. Nauk USSR 114 (1957), 679-681. | MR
[2] Beneš V., Štěpán J.: The support of extremal probability measures with given marginals. In: Math. Stat. and Prob. Theory A (1987), 33-41. | MR
[3] Beneš V., Štěpán J.: Extremal Solutions in the Marginal Problem. In: Advances in Probability Distributions with Given Marginals, Kluwer Academic Publishers, Dodrecht, 1991, 189-207. | MR
[4] Douglas R.G.: On extremal measures and subspace density. Michigan Math. J. 11 (1964), 243-246. | MR | Zbl
[5] Dunford N., Schwartz J.T.: Linear Operators. Interscience Publishers Inc., New York, 1958. | MR | Zbl
[6] Ersov M.: The Choquet theorem and stochastic equations. Analysis Math. 1 (1975), 259-271. | MR
[7] Hoffmann-Jørgensen J.: The general marginal problem. Lecture Notes in Math. 1242: Functional Analysis II, Springer-Verlag, 1987, 77-367. | MR
[8] Kolmogorov A.N.: On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition (in Russian). Dokl. Akad. Nauk USSR 114 (1957), 953-956. | MR
[9] Letac G.: Representation des mesures de probabilité sur le produit de deux espaces denombrables, de marges données. Ann. Inst. Fourier 16 (1966), 497-507. | MR | Zbl
[10] Štěpán J.: Simplicial Measures. In: Contributions to Statistics (J. Hájek Memorial Volume), Praha, 1977, 239-251. | MR
[11] Štěpán J.: Probability Measures with Given Expectations. Proc. of the 2nd Prague Symp. on Asympt. Statistics, North Holland, 1979, 315-320. | MR
[12] Štěpán J.: Weak Convergence in Probability Theory (in Czech). Charles University, Prague, 1988, Dr.\thinspace Sc. dissertation.
[13] Štěpán J.: Simplicial Measures and Sets of Uniqueness in Marginal Problem. Statistics and Decisions, 1991, to appear. | MR
[14] Weizsäcker H. von, Winkler G.: Integral representation in the set of solutions of a generalized moment problem. Math. Ann. 246 (1979), 23-32. | MR