Asymptotic expansions in the singular value decomposition for cross covariance and correlation under nonnormality
type: Item
instance of: scholarly article
title: Asymptotic expansions in the singular value decomposition for cross covariance and correlation under nonnormality
zbMATH Open document ID: 1332.62188
author: Haruhiko Ogasawara
published in: Annals of the Institute of Statistical Mathematics
publication date: 2016-01-15T00:00:00Z
Mathematics Subject Classification ID: 62H20
Mathematics Subject Classification ID: 62E20
Mathematics Subject Classification ID: 62E17
Mathematics Subject Classification ID: 62H25
zbMATH DE Number: 6530955
zbMATH Keywords: singular value decomposition
zbMATH Keywords: Edgeworth expansion
zbMATH Keywords: Studentized estimators
zbMATH Keywords: asymptotic robustness
zbMATH Keywords: nonnormality
zbMATH Keywords: inter-battery factor analysis
MaRDI profile type: Publication
full work available at URL: s10463-008-0174-4
OpenAlex ID: W2023639032
cites work: Q3255781
cites work: Asymptotic theory for canonical correlation analysis
cites work: A chi-square test for dimensionality with non-Gaussian data
cites work: Q5767935
cites work: A local parameterization of orthogonal and semi-orthogonal matrices with applications
cites work: The maximum-likelihood solution in inter-battery factor analysis
cites work: Robustness of normal theory methods in the analysis of linear latent variate models
cites work: Some Non-Central Distribution Problems in Multivariate Analysis
cites work: The asymptotic distribution of singular values with applications to canonical correlations and correspondence analysis
cites work: Asymptotic distributions of functions of the eigenvalues of some random matrices for nonnormal populations
cites work: Asymptotic expansions for the distributions of some functions of the latent roots of matrices in three situations
cites work: The bootstrap and Edgeworth expansion
cites work: Normalizing and variance stabilizing transformations of multivariate statistics under an elliptical population
cites work: RELATIONS BETWEEN TWO SETS OF VARIATES
cites work: ON THE LIMITING DISTRIBUTION OF THE CANONICAL CORRELATIONS
cites work: Enhanced Quantile Normalization of Microarray Data to Reduce Loss of Information in Gene Expression Profiles
cites work: Normalizing transformations of some statistics in multivariate analysis
cites work: TESTS OF SIGNIFICANCE IN CANONICAL ANALYSIS
cites work: Robust singular value decomposition analysis of microarray data
cites work: Q4231779
cites work: Asymptotic distributions in canonical correlation analysis and other multivariate procedures for nonnormal populations
cites work: Asymptotic robustness of the asymptotic biases in structural equation modeling
cites work: Asymptotic expansion of the sample correlation coefficient under nonnormality
cites work: Asymptotic expansions of the distributions of estimators in canonical correlation analysis under nonnormality
cites work: Linear Statistical Inference and its Applications
cites work: Separation theorems for singular values of matrices and their applications in multivariate analysis
cites work: The comparison of interdependent correlations between optimal linear composites
cites work: An inter-battery method of factor analysis
cites work: Latent models for cross-covariance
DOI: 10.1007/S10463-008-0174-4
description: scientific article; zbMATH DE number 6530955