Limiting distributions of high-dimensional multivariate beta-type distributions

DOI10.1016/J.JMVA.2012.04.018zbMATH Open1294.62022OpenAlexW2089820245MaRDI QIDQ444961

Tetsuro Sakurai

Publication date: 24 August 2012

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2012.04.018

zbMATH Keywords

limiting distributionmultivariate beta distributionMANOVAhigh-dimensional casemartingale differencemultivariate linear hypothesis

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Martingales with discrete parameter (60G42) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• Asymptotic expansions of the distributions of MANOVA test statistics when the dimension is large
• Testing for complete independence in high dimensions
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