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dc.contributor.authorTsai, Ming-Tienen_US
dc.contributor.authorHsu, Feng-Juen_US
dc.contributor.authorTsai, Chia-Hsuanen_US
dc.date.accessioned2019-04-02T05:58:42Z-
dc.date.available2019-04-02T05:58:42Z-
dc.date.issued2019-02-01en_US
dc.identifier.issn1099-4300en_US
dc.identifier.urihttp://dx.doi.org/10.3390/e21020201en_US
dc.identifier.urihttp://hdl.handle.net/11536/148984-
dc.description.abstractIn 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 (MTP2) property of the distribution functions of eigenvalues of both central Wishart and central MANOVA models, and of both noncentral Wishart and noncentral MANOVA models under the general population covariance matrix set-up. These results can be directly applied to both the comparisons of two Shannon entropy measures and the power monotonicity problem for the MANOVA problem.en_US
dc.language.isoen_USen_US
dc.subjectcentral Wishart and central MANOVA modelsen_US
dc.subjectMTPen_US
dc.subject(2)en_US
dc.subjectnoncentral Wishart and noncentral MANOVA modelsen_US
dc.titleThe Ordering of Shannon Entropies for the Multivariate Distributions and Distributions of Eigenvaluesen_US
dc.typeArticleen_US
dc.identifier.doi10.3390/e21020201en_US
dc.identifier.journalENTROPYen_US
dc.citation.volume21en_US
dc.contributor.department統計學研究所zh_TW
dc.contributor.departmentInstitute of Statisticsen_US
dc.identifier.wosnumberWOS:000460742200102en_US
dc.citation.woscount0en_US
Appears in Collections:Articles