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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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Detalles Bibliográficos
Autores principales: Merhav, Neri, Sason, Igal
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7516482/
https://www.ncbi.nlm.nih.gov/pubmed/33285826
http://dx.doi.org/10.3390/e22010051