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Matúš, František

Discrete marginal problem for complex measures. (English) Zbl 0636.60002

Kybernetika 24, No. 1, 36-46 (1988).
This paper contains complete analysis of the problem to find all complex measures (on the Cartesian product of a finite system of finite nonempty sets) for which the family of its marginal measures is identical with a given family of complex measures. The transformation, mapping every density of the complex measure into the family of its marginal densities, called here the discrete Radon transform, is considered together with its dual transform and their inversions are given in effective forms. Illustrating examples are added.

Cited in 1 Document

MSC:

60A99 Foundations of probability theory
28A99 Classical measure theory

Keywords:

complex measures; marginal measures; discrete Radon transform; dual transform; inversions
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\textit{F. Matúš}, Kybernetika 24, No. 1, 36--46 (1988; Zbl 0636.60002)
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References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.