ON THE DISTRIBUTION OF THE LARGEST OR THE SMALLEST ROOT OF A MATRIX IN MULTIVARIATE ANALYSIS
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Publication:3232667
DOI10.1093/biomet/43.1-2.122zbMath0070.37602OpenAlexW2126826495MaRDI QIDQ3232667
Publication date: 1956
Published in: Biometrika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/biomet/43.1-2.122
Related Items (15)
A Review of the packing problem ⋮ Asymptotic expansions for the joint and marginal distributions of the latent roots of \(S_1S^{-1}_2\) ⋮ Exact distributional computations for Roy's statistic and the largest eigenvalue of a Wishart distribution ⋮ Approximate null distribution of the largest root in multivariate analysis ⋮ Power and sample size calculations for multivariate linear models with random explanatory variables ⋮ A new statistic in the one-way multivariate analysis of variance ⋮ Percentage points of the largest characteristic root of the multivariate beta matrix ⋮ Canonical correlation analysis for elliptical copulas ⋮ Approximations for the distributions of the extreme latent roots of three matrices ⋮ Distributions of characteristic roots in multivariate analysis Part II. Non-Null Distribution ⋮ Power comparisons of tests of two multivariate hypotheses based on individual characteristic roots ⋮ On the exact finite series distribution of the smallest or the largest root of matrices in three situations ⋮ Non-central distributions of the largest latent roots of three matrices in multivariate analysis ⋮ Direct methods for generating extreme characteristic roots of certain random matrices ⋮ Practical methods for computing power in testing the multivariate general linear hypothesis
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