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An Integral Representation of the Logarithmic Function with Applications in Information Theory

We explore a well-known integral representation of the logarithmic function, and demonstrate its usefulness in obtaining compact, easily computable exact formulas for quantities that involve expectations and higher moments of the logarithm of a positive random variable (or the logarithm of a sum of...

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Bibliografiske detaljer
Main Authors: Neri Merhav, Igal Sason
Format: Artigo
Sprog:Inglês
Udgivet: MDPI AG 2019-12-01
Serier:Entropy
Fag:
Online adgang:https://www.mdpi.com/1099-4300/22/1/51
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