Generalized Covariance Estimator

A-Tier
Journal: Journal of Business & Economic Statistics
Year: 2023
Volume: 41
Issue: 4
Pages: 1315-1327

Authors (2)

Christian Gourieroux (not in RePEc) Joann Jasiak (York University)

Score contribution per author:

2.011 = (α=2.01 / 2 authors) × 2.0x A-tier

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

Abstract

We consider a class of semi-parametric dynamic models with iid errors, including the nonlinear mixed causal-noncausal Vector Autoregressive (VAR), Double-Autoregressive (DAR) and stochastic volatility models. To estimate the parameters characterizing the (nonlinear) serial dependence, we introduce a generic Generalized Covariance (GCov) estimator, which minimizes a residual-based multivariate portmanteau statistic. In comparison to the standard methods of moments, the GCov estimator has an interpretable objective function, circumvents the inversion of high-dimensional matrices, and achieves semi-parametric efficiency in one step. We derive the asymptotic properties of the GCov estimator and show its semi-parametric efficiency. We also prove that the associated residual-based portmanteau statistic is asymptotically chi-square distributed. The finite sample performance of the GCov estimator is illustrated in a simulation study. The estimator is then applied to a dynamic model of commodity futures.

Technical Details

RePEc Handle
repec:taf:jnlbes:v:41:y:2023:i:4:p:1315-1327
Journal Field
Econometrics
Author Count
2
Added to Database
2026-01-25