GARCH-Based Identification and Estimation of Triangular Systems

Todd, Prono (2009): GARCH-Based Identification and Estimation of Triangular Systems.

Abstract

The diagonal GARCH(1,1) model is shown to support identification of the triangular system and is argued as a second moment analog to traditional exclusion restrictions. Estimators for this result include QML and GMM. The GMM estimator contains many (potential weak) moment conditions that can be the source of bias. As a result, a jackknife GMM estimator is proposed that remains consistent in the presence of many such moments. A small Monte Carlo study of the GMM and jackknife GMM estimators is also included.

• Item Type: MPRA Paper
• Language: English
• Keywords: Triangular models, heteroskedasticity, identification
• Subjects: C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C32 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes ; State Space Models; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General; C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables

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