Geodesic
A note on the interval-valued marginal problem and its maximum entropy solution
Kybernetika, Tome 34 (1998) no. 1, p. [17].

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This contribution introduces the marginal problem, where marginals are not given precisely, but belong to some convex sets given by systems of intervals. Conditions, under which the maximum entropy solution of this problem can be obtained via classical methods using maximum entropy representatives of these convex sets, are presented. Two counterexamples illustrate the fact, that this property is not generally satisfied. Some ideas of an alternative approach are presented at the end of the paper.
Classification : 60E99, 94A17
Keywords: interval-valued marginal problem; maximum entropy solution 
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     title = {A note on the interval-valued marginal problem and its maximum entropy solution},
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Vejnarová, Jiřina. A note on the interval-valued marginal problem and its maximum entropy solution. Kybernetika, Tome 34 (1998) no. 1, p. [17]. http://geodesic.mathdoc.fr/item/KYB_1998__34_1_a2/