Adaptive Long-Run Variance Thresholding for Sparse Covariance Estimation in High-Dimensional Time Series
高维时间序列稀疏协方差估计的自适应长期方差阈值法
Estimating a sparse covariance matrix is a fundamental problem in high-dimensional statistics. However, thresholding methods developed for independent data are generally not directly applicable to high-dimensional time series, where temporal dependence alters the stochastic behavior of sample covariance estimators. This paper studies sparse covariance matrix estimation for high-dimensional time series under weak dependence. We propose a thresholding procedure that…