English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, various results related to the Gaussian product inequality(GPI) conjecture, from Wei (2014), Genest & Ouimet (2023) and Zhou et al.(2023), are generalized to the setting of determinants of diagonal blocks ofWishart random matrices. An extended form of the GPI is also shown to hold forthe eigenvalues of Wishart random matrices by virtue of their law beingmultivariate totally positive of order 2 (MTP 2). As final thoughts, a newunexplored avenue of research is presented to study the GPI from the point ofview of elliptical distributions.

Results related to the Gaussian product inequality conjecture for determinants of diagonal blocks of Wishart random matrices