Asymptotic expansions for the distributions of latent roots of \(S_hS_e^{- 1}\) and of certain test statistics in MANOVA

DOI10.1007/BF02532786zbMath0424.62033MaRDI QIDQ1135067

Takafumi Isogai

Publication date: 1977

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionMANOVAWishartdistribution of latent roots

Mathematics Subject Classification ID

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

Related Items (1)

Asymptotics for tests on mean profiles, additional information and dimensionality under non-normality

Cites Work

• Unnamed Item
• Asymptotic formulas for the non-null distributions of three statistics for multivariate linear hypothesis
• Asymptotic expansions of the non-nuu distributions of three statistics in GMANOVA
• TESTS OF SIGNIFICANCE FOR THE LATENT ROOTS OF COVARIANCE AND CORRELATION MATRICES
• Derivatives of the characteristic root of a synmetric or a hermitian matrix with two applications in multivariate analysis
• On the Sampling Theory of Roots of Determinantal Equations

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