Lower Bounds on Multivariate Higher Order Derivatives of Differential Entropy †

This paper studies the properties of the derivatives of differential entropy [Formula: see text] in Costa’s entropy power inequality. For real-valued random variables, Cheng and Geng conjectured that for [Formula: see text] , [Formula: see text] , while McKean conjectured a stronger statement, where...

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Detalles Bibliográficos
Autores principales: Guo, Laigang, Yuan, Chun-Ming, Gao, Xiao-Shan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9407166/
https://www.ncbi.nlm.nih.gov/pubmed/36010819
http://dx.doi.org/10.3390/e24081155

Internet

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9407166/
https://www.ncbi.nlm.nih.gov/pubmed/36010819
http://dx.doi.org/10.3390/e24081155

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