Siotani's Contributions to Multivariate Statistical Analysis

DOI10.1080/01966324.1995.10737397zbMath0859.62054OpenAlexW2119278952WikidataQ58153015 ScholiaQ58153015MaRDI QIDQ4715607

Yasunori Fujikoshi

Publication date: 9 April 1997

Published in: American Journal of Mathematical and Management Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01966324.1995.10737397

zbMATH Keywords

discriminant analysisasymptotic expansionsHotelling's generalized T-square statistic

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Multivariate analysis (62H99) Asymptotic distribution theory in statistics (62E20) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Biographies, obituaries, personalia, bibliographies (01A70)

Cites Work

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• Order statistics for discrete case with a numerical application to the binomial distribution
• On the distributions of the Hotelling's \(T^ 2\)-statistics
• Note on the utilization of the generalized student ratio in the analysis of variance or dispersion
• The extreme value of the generalized distances of the individual points in the multivariate normal sample
• Notes on multivariate confidence bounds
• On randomization in multivariate analysis of variance
• Stepwise test procedures and approximate chi-square analysis
• Asymptotic expansion of the non-null distribution of the ratio of two conditionally independent Hotelling's \(T^2_0\)-statistics
• Asymptotic joint distribution of the largest roots of several multivariate F matrices. I: Quasi-independent case
• Asymptotic Formulae for the Distribution of Hotelling's Generalized $T^2_0$ Statistic
• Asymptotic distributions of functions of a sample covariance matrix under the elliptical distribution
• Asymptotic expansion of the distribution of the Z statistic in discriminant analysis
• An Asymptotic Expansion of the Non-Null Distribution of Hotelling's Generalized $T_0^2$-Statistic
• An Asymptotic Expansion for the Distribution of the Linear Discriminant Function
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• Some Non-Central Distribution Problems in Multivariate Analysis
• A note on the interval estimation related to the regression matrix

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