大型动态协方差矩阵

Large Dynamic Covariance Matrices

Journal of Business & Economic Statistics · 2017
被引 258 · 同刊同年前 4%
人大 AABS 4

中文导读

结合时间序列的条件异方差模型(DCC)和横截面的非线性收缩方法(RMT),改进了大型动态协方差矩阵的估计,对风险管理和投资组合选择有重要价值。

Abstract

Second moments of asset returns are important for risk management and portfolio selection. The problem of estimating second moments can be approached from two angles: time series and the cross-section. In time series, the key is to account for conditional heteroskedasticity; a favored model is Dynamic Conditional Correlation (DCC), derived from the ARCH/GARCH family started by Engle (1982). In the cross-section, the key is to correct in-sample biases of sample covariance matrix eigenvalues; a favored model is nonlinear shrinkage, derived from Random Matrix Theory (RMT). The present paper marries these two strands of literature in order to deliver improved estimation of large dynamic covariance matrices.

动态条件相关非线性收缩随机矩阵理论大维协方差矩阵