Spectral measure of empirical autocovariance matrices of high-dimensional Gaussian stationary processes
DOI10.1142/s2010326322500538zbMath1524.62412arXiv2110.08523WikidataQ114071573 ScholiaQ114071573MaRDI QIDQ6133488
Publication date: 24 July 2023
Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.08523
matrix orthogonal polynomialslimit spectral distributionmultivariate stationary processessmall singular valueslarge non-Hermitian matrix theoryhigh-dimensional times series analysis
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54) Random measures (60G57) Other special orthogonal polynomials and functions (33C47) Diagnostics, and linear inference and regression (62J20)
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Cites Work
- Large sample behaviour of high dimensional autocovariance matrices
- Around the circular law
- On the least singular value of random symmetric matrices
- On a general moment problem on the half axis
- The circular law for random matrices
- Non-hermitian random matrix theory: Method of hermitian reduction
- A new method for bounding rates of convergence of empirical spectral distributions
- Limits of infinite interaction radius, dimensionality and the number of components for random operators with off-diagonal randomness
- Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform
- On the empirical distribution of eigenvalues of a class of large dimensional random matrices
- Random matrices: universality of ESDs and the circular law
- Non-Hermitian random matrices with a variance profile. I: Deterministic equivalents and limiting esds
- Smallest singular value and limit eigenvalue distribution of a class of non-Hermitian random matrices with statistical application
- Joint convergence of sample autocovariance matrices when \(p/n\to 0\) with application
- Deterministic equivalents for certain functionals of large random matrices
- The Littlewood-Offord problem and invertibility of random matrices
- Smallest singular value of random matrices and geometry of random polytopes
- The Analytic Theory of Matrix Orthogonal Polynomials
- Small Ball Probabilities for Linear Images of High-Dimensional Distributions
- Smallest singular value of a random rectangular matrix
- Inverses of Toeplitz Operators, Innovations, and Orthogonal Polynomials
- Orthogonal polynomials
- On Matrix-Valued Herglotz Functions
- Erratum: The limiting spectral distribution in terms of spectral density
- High-Dimensional Probability
- Invertibility of symmetric random matrices
- A Simple Approach to the Global Regime of Gaussian Ensembles of Random Matrices
- Spectral Properties of Banded Toeplitz Matrices
- Time Series
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