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Gaussian Optimality for Derivatives of Differential Entropy Using Linear Matrix Inequalities †

Let Z be a standard Gaussian random variable, X be independent of Z, and t be a strictly positive scalar. For the derivatives in t of the differential entropy of [Formula: see text] , McKean noticed that Gaussian X achieves the extreme for the first and second derivatives, among distributions with a...

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Detalhes bibliográficos
Publicado no:Entropy (Basel)
Main Authors: Zhang, Xiaobing, Anantharam, Venkat, Geng, Yanlin
Formato: Artigo
Idioma:Inglês
Publicado em: MDPI 2018
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC7512698/
https://ncbi.nlm.nih.gov/pubmed/33265273
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.3390/e20030182
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