Properties of linear spectral statistics of frequency-smoothed estimated spectral coherence matrix of high-dimensional Gaussian time series
From MaRDI portal
Publication:2074296
DOI10.1214/21-EJS1923zbMath1493.62348arXiv2111.08047OpenAlexW3214203227MaRDI QIDQ2074296
Alexis Rosuel, Philippe Loubaton
Publication date: 9 February 2022
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.08047
Hypothesis testing in multivariate analysis (62H15) Random matrices (probabilistic aspects) (60B20) Inference from stochastic processes and spectral analysis (62M15)
Related Items
Cites Work
- Averaging fluctuations in resolvents of random band matrices
- Central limit theorems for classical likelihood ratio tests for high-dimensional normal distributions
- 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 frequency-domain based test for non-correlation between stationary time series
- Shrinkage estimation in the frequency domain of multivariate time series
- The largest eigenvalues of finite rank deformation of large Wigner matrices: Convergence and nonuniversality of the fluctuations
- Spectral analysis of large dimensional random matrices
- Random matrices with complex Gaussian entries
- Testing independence with high-dimensional correlated samples
- The asymptotic distributions of the largest entries of sample correlation matrices.
- Nonparametric approach for non-Gaussian vector stationary processes
- Likelihood ratio tests for many groups in high dimensions
- Deterministic equivalents for certain functionals of large random matrices
- Testing nonparametric and semiparametric hypotheses in vector stationary processes
- A New Approach for Mutual Information Analysis of Large Dimensional Multi-Antenna Channels
- A Method for Testing the Independence of Two Time Series That Accounts for a Potential Pattern in the Cross-Correlation Function
- Testing for independence between two covariance stationary time series
- Checking the Independence of Two Covariance-Stationary Time Series: A Univariate Residual Cross-Correlation Approach
- Tests for noncorrelation of two multivariate ARMA time series
- Robust residual cross correlation tests for lagged relations in time series
- Testing Independence Among a Large Number of High-Dimensional Random Vectors
- Correlation Tests and Linear Spectral Statistics of the Sample Correlation Matrix
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item