On computable estimates for accuracy of approximation for the Bartlett–Nanda–Pillai statistic

DOI10.3103/S1055134417030014zbMath1399.62085OpenAlexW2752033893MaRDI QIDQ5374055

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Publication date: 6 April 2018

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134417030014

zbMATH Keywords

multivariate analysis of varianceaccuracy of approximationBartlett-Nanda-Pillai statisticcomputable estimate

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20)

Cites Work

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• Error bounds for asymptotic expansions of Wilks' lambda distribution
• 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
• \(L_{1}\)-norm error bounds for asymptotic expansions of multivariate scale mixtures and their applications to Hotelling's generalized \(T_{0}^{2}\)
• Bounds on Normal Approximations to Student's and the Chi-Square Distributions
• A Nonparametric Version of the Bartlett-Nanda-Pillai Multivariate Test. Asymptotics, Approximations, and Applications
• Distribution of the Sum of Roots of a Determinantal Equation under a Certain Condition
• Multivariate Statistics

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