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The Ordering of Shannon Entropies for the Multivariate Distributions and Distributions of Eigenvalues

In this paper, we prove the Shannon entropy inequalities for the multivariate distributions via the notion of convex ordering of two multivariate distributions. We further characterize the multivariate totally positive of order 2 ([Formula: see text]) property of the distribution functions of eigenv...

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Detalles Bibliográficos
Autores principales: Tsai, Ming-Tien, Hsu, Feng-Ju, Tsai, Chia-Hsuan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514683/
https://www.ncbi.nlm.nih.gov/pubmed/33266916
http://dx.doi.org/10.3390/e21020201