Adaptive Estimation of Vector Autoregressive Models with Time-Varying Variance: Application to Testing Linear Causality in Mean
Mardi | 2011-05-17 B103 Valentin PATILEA – Hamdi RAÏSSI – libre Linear Vector AutoRegressive (VAR) models where the innovations could beunconditionally heteroscedastic and serially dependent are considered. Thevolatility structure is deterministic and quite general, including breaks ortrending variances as special cases. In this framework we propose OrdinaryLeast Squares (OLS), Generalized Least Squares (GLS) and Adaptive LeastSquares (ALS) procedures. The GLS estimator requires the knowledge ofthe time-varying variance structure while in the ALS approach the unknownvariance is estimated by kernel smoothing […]