ESTIMATION OF TIME-VARYING COVARIANCE MATRICES FOR LARGE DATASETS

B-Tier
Journal: Econometric Theory
Year: 2021
Volume: 37
Issue: 6
Pages: 1100-1134

Authors (3)

Dendramis, Yiannis (not in RePEc) Giraitis, Liudas (not in RePEc) Kapetanios, George (King's College London)

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

Time variation is a fundamental problem in statistical and econometric analysis of macroeconomic and financial data. Recently, there has been considerable focus on developing econometric modelling that enables stochastic structural change in model parameters and on model estimation by Bayesian or nonparametric kernel methods. In the context of the estimation of covariance matrices of large dimensional panels, such data requires taking into account time variation, possible dependence and heavy-tailed distributions. In this paper, we introduce a nonparametric version of regularization techniques for sparse large covariance matrices, developed by Bickel and Levina (2008) and others. We focus on the robustness of such a procedure to time variation, dependence and heavy-tailedness of distributions. The paper includes a set of results on Bernstein type inequalities for dependent unbounded variables which are expected to be applicable in econometric analysis beyond estimation of large covariance matrices. We discuss the utility of the robust thresholding method, comparing it with other estimators in simulations and an empirical application on the design of minimum variance portfolios.

Technical Details

RePEc Handle
repec:cup:etheor:v:37:y:2021:i:6:p:1100-1134_2
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-25