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A Lower Bound on the Differential Entropy of Log-Concave Random Vectors with Applications
We derive a lower bound on the differential entropy of a log-concave random variable X in terms of the p-th absolute moment of X. The new bound leads to a reverse entropy power inequality with an explicit constant, and to new bounds on the rate-distortion function and the channel capacity. Specifica...
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
MDPI
2018
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512702/ https://www.ncbi.nlm.nih.gov/pubmed/33265276 http://dx.doi.org/10.3390/e20030185 |