Laplace Expansion for Bartlett--Nanda--Pillai Test Statistic and Its Error Bound

DOI10.1137/s0040585x97t991635WikidataQ128254450 ScholiaQ128254450MaRDI QIDQ6153526

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Publication date: 14 February 2024

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

nonasymptotic analysisBartlett-Nanda-Pillai statisticsLaplace approximation method

Mathematics Subject Classification ID

Statistics (62-XX) Numerical analysis (65-XX)

Cites Work

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• Error bounds for asymptotic expansions of Wilks' lambda distribution
• Edgeworth expansion of Wilks' lambda statistic
• High-dimensional Edgeworth expansion of a test statistic on independence and its error bound
• Non-asymptotic analysis of approximations for multivariate statistics
• Nonasymptotic analysis of the Lawley-Hotelling statistic for high-dimensional data
• Asymptotic expansions of the distributions of MANOVA test statistics when the dimension is large
• Berry-Esseen bound for high dimensional asymptotic approximation of Wilks' lambda distribution

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