On a functional equation in connection with information theory.
Sándor Veres (1982)
Aequationes mathematicae
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Sándor Veres (1982)
Aequationes mathematicae
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Pl. Kannappan (1985)
Aequationes mathematicae
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Wolfgang Sander (1986)
Manuscripta mathematica
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Palaniappan Kannappan (1980)
Stochastica
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In this series, this paper is devoted to the study of two related functional equations primarily connected with weighted entropy and weighted entropy of degree beta (which are weighted additive and weighted beta additive respectively) which include as special cases Shannon's entropy, inaccuracy (additive measures) and the entropy of degree beta (nonadditive) respectively. These functional equations which arise mainly from the representation and these 'additive' properties are solved...
Palaniappan Kannappan, Prasanna K. Sahoo (1986)
Kybernetika
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Jiřina Vejnarová (1998)
Kybernetika
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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...