Asymptotic expansions for the joint and marginal distributions of the latent roots of \(S_1S^{-1}_2\)
type: Item
instance of: scholarly article
title: Asymptotic expansions for the joint and marginal distributions of the latent roots of \(S_1S^{-1}_2\)
zbMATH Open document ID: 0425.62013
DOI: 10.1007/BF02532785
author: Yasuko Chikuse
published in: Annals of the Institute of Statistical Mathematics
publication date: 1977-01-01T00:00:00Z
Mathematics Subject Classification ID: 62E20
Mathematics Subject Classification ID: 62H10
zbMATH DE Number: 3662371
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: distributions of latent roots
zbMATH Keywords: covariance matrices
zbMATH Keywords: Wishart distributions
MaRDI profile type: Publication
cites work: Q5808640
cites work: Asymptotic Theory for Principal Component Analysis
cites work: On an Asymptotic Representation of the Distribution of the Characteristic Roots of $S_1S_2^{-1}$
cites work: Q4137936
cites work: Asymptotic distributions of the latent roots of the covariance matrix with multiple population roots
cites work: Some Non-Central Distribution Problems in Multivariate Analysis
cites work: On the Sampling Theory of Roots of Determinantal Equations
cites work: Bessel functions of matrix argument
cites work: Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
cites work: Q5629004
cites work: Some Distribution Problems Connected with the Characteristic Roots of $S_1S^{-1}_2$
cites work: Asymptotic Expansions for Distributions of the Roots of Two Matrices from Classical and Complex Gaussian Populations
cites work: Systems of Partial Differential Equations for Hypergeometric Functions of Matrix Argument
cites work: Some New Test Criteria in Multivariate Analysis
cites work: ON THE DISTRIBUTION OF THE LARGEST OR THE SMALLEST ROOT OF A MATRIX IN MULTIVARIATE ANALYSIS
cites work: Power Comparisons of Tests of Equality of Two Covariance Matrices Based on Individual Characteristic Roots
description: scientific article; zbMATH DE number 3662371