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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We study the sample covariance matrix for real-valued data with generalpopulation covariance, as well as MANOVA-type covariance estimators in variancecomponents models under null hypotheses of global sphericity. In the limit asmatrix dimensions increase proportionally, the asymptotic spectra of suchestimators may have multiple disjoint intervals of support, possiblyintersecting the negative half line. We show that the distribution of theextremal eigenvalue at each regular edge of the support has a GOE Tracy-Widomlimit. Our proof extends a comparison argument of Ji Oon Lee and KevinSchnelli, replacing a continuous Green function flow by a discrete Lindebergswapping scheme.

Tracy-Widom at each edge of real covariance and MANOVA estimators