On some distribution problems in Manova and discriminant analysis

DOI10.1016/0047-259X(79)90098-8zbMath0417.62041MaRDI QIDQ755270

Robb J. Muirhead, Rouh-Jane Chou

Publication date: 1979

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

zbMATH Keywords

discriminant analysisBessel functionsasymptotic distributionslatent rootsManovahypergeometric function of matrix arguments

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Analysis of variance and covariance (ANOVA) (62J10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (1)

Power Function Studies

Cites Work

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• Bessel functions of matrix argument
• Expressions for some hypergeometric functions of matrix argument with applications
• Asymptotic expansions for distributions of latent roots in multivariate analysis
• Maximization of an integral of a matrix function and asymptotic expansions of distributions of latent roots of two matrices
• Latent roots and matrix variates: a review of some asymptotic results
• Inference in canonical correlation analysis
• A theorem on the asymptotic behavior of a multiple integral
• The Confluent Hypergeometric Function
• An Asymptotic Expansion for the Noncentral Wishart Distribution
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• Some Non-Central Distribution Problems in Multivariate Analysis

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