On monotonicity and superadditivity properties of the entropy function (Q2725329)
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scientific article; zbMATH DE number 1619129
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On monotonicity and superadditivity properties of the entropy function |
scientific article; zbMATH DE number 1619129 |
Statements
On monotonicity and superadditivity properties of the entropy function (English)
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10 July 2002
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convex functions
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superadditivity
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monotonicity
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Jensen discrete inequality
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entropy function
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entropy measures
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The authors apply superadditivity and monotonicity properties associated with the Jensen discrete inequality to derive relationships between the entropy function of a probability vector and a renormalized arbitrary sub-vector. The results are extended to cover other entropy measures such as joint entropy, conditional entropy and mutual information.
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