On the asymptotic behavior of the eigenvalue distribution of block correlation matrices of high-dimensional time series
From MaRDI portal
Publication:5092958
DOI10.1142/S2010326322500241MaRDI QIDQ5092958
Xavier Mestre, Philippe Loubaton
Publication date: 26 July 2022
Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.07226
Random matrices (probabilistic aspects) (60B20) Statistics (62-XX) Random matrices (algebraic aspects) (15B52)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large sample behaviour of high dimensional autocovariance matrices
- Gaussian fluctuations for linear spectral statistics of large random covariance matrices
- Convergence of the largest singular value of a polynomial in independent Wigner matrices
- Averaging fluctuations in resolvents of random band matrices
- Central limit theorems for classical likelihood ratio tests for high-dimensional normal distributions
- Covariance matrix estimation for stationary time series
- Subclasses of Herglotz-Nevanlinna matrix-valued functions and linear systems
- On the almost sure location of the singular values of certain Gaussian block-Hankel large random matrices
- Hanson-Wright inequality and sub-Gaussian concentration
- A test for independence of two stationary infinite order autoregressive processes
- A frequency-domain based test for non-correlation between stationary time series
- Perturbation theory for linear operators.
- Nonparametric approach for non-Gaussian vector stationary processes
- On bilinear forms based on the resolvent of large random matrices
- Likelihood ratio tests for many groups in high dimensions
- On the Marčenko-Pastur law for linear time series
- On singular value distribution of large-dimensional autocovariance matrices
- Limiting spectral distribution of a symmetrized auto-cross covariance matrix
- Deterministic equivalents for certain functionals of large random matrices
- Testing nonparametric and semiparametric hypotheses in vector stationary processes
- Spectra of large time-lagged correlation matrices from random matrix theory
- On the behavior of large empirical autocovariance matrices between the past and the future
- An Introduction to Random Matrices
- Testing for independence between two covariance stationary time series
- Checking the Independence of Two Covariance-Stationary Time Series: A Univariate Residual Cross-Correlation Approach
- Spectral Convergence of Large Block-Hankel Gaussian Random Matrices
- Testing Independence Among a Large Number of High-Dimensional Random Vectors
- Strong asymptotic freeness for Wigner and Wishart matrices
- Correlation Tests and Linear Spectral Statistics of the Sample Correlation Matrix
- Time Series
This page was built for publication: On the asymptotic behavior of the eigenvalue distribution of block correlation matrices of high-dimensional time series