Maximum entropy in discrete moment problem: Nonsymmetric case (Q2756214)

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scientific article; zbMATH DE number 1672751
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Maximum entropy in discrete moment problem: Nonsymmetric case
scientific article; zbMATH DE number 1672751

    Statements

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    9 April 2002
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    moment problem
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    Hankel matrix
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    convex hull
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    maximum entropy method
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    entropy-convergence
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    Maximum entropy in discrete moment problem: Nonsymmetric case (English)
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    By using the maximum entropy method the author considers the reconstruction of a nonsymmetric discrete probability distribution with countable real values. Necessary and sufficient conditions for the existence of the maximum entropy distribution are obtained. The entropy-convergence is established. The feature of entropy decreasing when two more moments are added is provided.
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