Covariance matrix estimation for stationary time series
From MaRDI portal
Publication:450046
DOI10.1214/11-AOS967zbMath1246.62191arXiv1105.4563OpenAlexW2103482025MaRDI QIDQ450046
Publication date: 3 September 2012
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.4563
Toeplitz matrixlarge deviationsthresholdingspectral densitystationary processesbandingtaperingphysical dependence measureshort range dependenceautocovariance matrix
Estimation in multivariate analysis (62H12) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Large deviations (60F10)
Related Items
ASYMPTOTIC ANALYSIS ABOUT THE PERIODOGRAM OF A GENERAL CLASS OF TIME SERIES MODELS WITH SPECTRAL SUPPORTSON LINES NOT PARALLEL TO THE MAIN DIAGONAL, Approximate diagonalization of some Toeplitz operators and matrices, Estimation of inverse autocovariance matrices for long memory processes, Robust inference of risks of large portfolios, Estimation of semivarying coefficient time series models with ARMA errors, Joint non-parametric estimation of mean and auto-covariances for Gaussian processes, Convergence of covariance and spectral density estimates for high-dimensional locally stationary processes, On the asymptotic behavior of the eigenvalue distribution of block correlation matrices of high-dimensional time series, Simultaneous confidence bands for sequential autoregressive fitting, Limiting spectral distribution of sample autocovariance matrices, Numerical instability of calculating inverse of spatial covariance matrices, Covariance structure estimation with Laplace approximation, Nonparametric estimation of a smooth trend in the presence of a periodic sequence, ASYMPTOTIC THEORY FOR SPECTRAL DENSITY ESTIMATES OF GENERAL MULTIVARIATE TIME SERIES, On the asymptotic normality of kernel estimators of the long run covariance of functional time series, Convolution-based linear discriminant analysis for functional data classification, Semi-parametric inference for large-scale data with temporally dependent noise, Testing Stability in Functional Event Observations with an Application to IPO Performance, Joint Structural Break Detection and Parameter Estimation in High-Dimensional Nonstationary VAR Models, Change-point analysis in increasing dimension, Covariance matrix estimation for stationary time series, Covariance and precision matrix estimation for high-dimensional time series, A Darling-Erdős type result for stationary ellipsoids, Estimation and inference for precision matrices of nonstationary time series, Asymptotic distribution of least square estimators for linear models with dependent errors, A novel partial-linear single-index model for time series data, Fast Solution Methods for Convex Quadratic Optimization of Fractional Differential Equations, Variable screening for high dimensional time series, Modelling and Prediction of Financial Time Series, Regularized estimation in sparse high-dimensional time series models, Estimating structured high-dimensional covariance and precision matrices: optimal rates and adaptive estimation, Multi-scale detection of rate changes in spike trains with weak dependencies, Compressed covariance estimation with automated dimension learning, High-dimensional autocovariance matrices and optimal linear prediction, Rejoinder of ``High-dimensional autocovariance matrices and optimal linear prediction, Consistent autoregressive spectral estimates: Nonlinear time series and large autocovariance matrices, A note on limiting distribution of the sample auto-covariance function for the first-order autoregressive (AR(1)) model, Asymptotic analysis of synchrosqueezing transform -- toward statistical inference with nonlinear-type time-frequency analysis, Simultaneous sparse model selection and coefficient estimation for heavy-tailed autoregressive processes, ITERATIONS OF DEPENDENT RANDOM MAPS AND EXOGENEITY IN NONLINEAR DYNAMICS, Variance inequalities for quadratic forms with applications
Cites Work
- Covariance matrix estimation for stationary time series
- Limit of the smallest eigenvalue of a large dimensional sample covariance matrix
- Large deviations for quadratic forms of locally stationary processes
- A stability result for the periodogram
- On maxima of periodograms of stationary processes
- Estimation of high-dimensional prior and posterior covariance matrices in Kalman filter vari\-ants
- Cramér-type moderate deviation for the maximum of the periodogram with application to simultaneous tests in gene expression time series
- Optimal rates of convergence for covariance matrix estimation
- Covariance regularization by thresholding
- Operator norm consistent estimation of large-dimensional sparse covariance matrices
- Moment inequalities for sums of dependent random variables under projective conditions
- Spectral analysis of large dimensional random matrices
- The maximum of the periodogram
- On the limit of the largest eigenvalue of the large dimensional sample covariance matrix
- A limit theorem for the norm of random matrices
- On large-sample estimation for the mean of a stationary random sequence
- On tail probabilities for martingales
- A functional large deviations principle for quadratic forms of Gaussian stationary processes
- Subsampling
- Level-spacing distributions and the Airy kernel
- Large deviations for quadratic functionals of Gaussian processes
- Block length selection in the bootstrap for time series
- On the distribution of the largest eigenvalue in principal components analysis
- Central limit theorem for Fourier transforms of stationary processes
- Large deviations for quadratic forms of stationary Gaussian processes
- Shape fluctuations and random matrices
- Moderate deviations for quadratic forms in Gaussian stationary processes
- Asymptotic spectral theory for nonlinear time series
- Regularized estimation of large covariance matrices
- Spectral measure of large random Hankel, Markov and Toeplitz matrices
- Moderate deviations of empirical periodogram and non-linear functionals of moving average processes
- Banded and tapered estimates for autocovariance matrices and the linear process bootstrap
- An exact rate of convergence in the functional central limit theorem for special martingale difference arrays
- Non-strong mixing autoregressive processes
- ASYMPTOTICS OF SPECTRAL DENSITY ESTIMATES
- On the asymptotic distributions of maxima of trigonometric polynomials with random coefficients
- Adaptive bandwidth choice
- Sharp large deviations for Gaussian quadratic forms with applications
- Nonlinear system theory: Another look at dependence
- The Maximum Deviation of Sample Spectral Densities
- Large deviations of sums of independent random variables
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item