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

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 (<inline-formula> <math display="inline"> <se...

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Bibliographic Details
Main Authors: Ming-Tien Tsai, Feng-Ju Hsu, Chia-Hsuan Tsai
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Entropy
Subjects:
central Wishart and central MANOVA models
<i>MTP</i><sub>2</sub>
noncentral Wishart and noncentral MANOVA models
Online Access:https://www.mdpi.com/1099-4300/21/2/201

Internet

https://www.mdpi.com/1099-4300/21/2/201

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