On the eigenvectors of large-dimensional sample spatial sign covariance matrices
type: Item
instance of: scholarly article
title: On the eigenvectors of large-dimensional sample spatial sign covariance matrices
author: Yangchang Xu
author: Ningning Xia
published in: Journal of Multivariate Analysis
publication date: 2022-12-06T00:00:00Z
Mathematics Subject Classification ID: 62H10
Mathematics Subject Classification ID: 62H15
zbMATH DE Number: 7626993
zbMATH Keywords: central limit theorems
zbMATH Keywords: eigenvectors and eigenvalues
zbMATH Keywords: Haar distribution
zbMATH Keywords: random matrix
zbMATH Keywords: spatial sign covariance matrix
MaRDI profile type: Publication
full work available at URL: j.jmva.2022.105119
OpenAlex ID: W4307211187
cites work: On asymptotics of eigenvectors of large sample covariance matrix
cites work: No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices
cites work: Exact separation of eigenvalues of large dimensional sample covariance matrices
cites work: CLT for linear spectral statistics of large-dimensional sample covariance matrices.
cites work: Spectral analysis of large dimensional random matrices
cites work: Spatial sign correlation
cites work: The spatial sign covariance matrix with unknown location
cites work: Robust functional estimation using the median and spherical principal components
cites work: On the distribution of the largest eigenvalue in principal components analysis
cites work: Q5628978
cites work: On eigenvalues of a high-dimensional spatial-sign covariance matrix
cites work: Robust principal component analysis for functional data. (With comments)
cites work: The asymptotic inadmissibility of the spatial sign covariance matrix for elliptically symmetric distributions
cites work: Q5449216
cites work: On the eigenvectors of large dimensional sample covariance matrices
cites work: Weak convergence of random functions defined by the eigenvectors of sample covariance matrices
cites work: Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices
cites work: Robustifying principal component analysis with spatial sign vectors
cites work: Sign and rank covariance matrices
cites work: The Estimation of Leverage Effect With High-Frequency Data
cites work: Convergence rates of eigenvector empirical spectral distribution of large dimensional sample covariance matrix
cites work: On the limit of the largest eigenvalue of the large dimensional sample covariance matrix
DOI: 10.1016/J.JMVA.2022.105119
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description: scientific article; zbMATH DE number 7626993