Outlier Detection in GARCH Models

Arbeitspapier

We present a new procedure for detecting multiple additive outliers in GARCH(1,1) models at unknown dates. The outlier candidates are the observations with the largest standardized residual. First, a likelihood-ratio based test determines the presence and timing of an outlier. Next, a second test determines the type of additive outlier (volatility or level). The tests are shown to be similar with respect to the GARCH parameters. Their null distribution can be easily approximated from an extreme value distribution, so that computation of p-values does not require simulation. The procedure outperforms alternative methods, especially when it comes to determining the date of the outlier. We apply the method to returns of the Dow Jones index, using monthly, weekly, and daily data. The procedure is extended and applied to GARCH models with Student-t distributed errors.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Tinbergen Institute Discussion Paper ; No. 05-092/4

Classification and Topics

• Classification: Wirtschaft ; Single Equation Models; Single Variables: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes ; Model Evaluation, Validation, and Selection ; General Financial Markets: General (includes Measurement and Data)
• Subject: Dummy variable ; Generalized Autoregressive Conditional Heteroskedasticity ; GARCH-t ; Outlier detection ; Extreme value distribution

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Doornik, Jurgen A. ; Ooms, Marius
• Event: Veröffentlichung
• (who): Tinbergen Institute
• (where): Amsterdam and Rotterdam
• (when): 2005

Further information

• Handle: http://hdl.handle.net/10419/86376
• Last update: 10.03.2025, 11:44 AM CET