A robust forward weighted Lagrange multiplier test for conditional heteroscedasticity
AbstractStatistical tests routinely adopted for detecting nonlinear components in time series rely on the auxiliary regression of ARMA lagged residuals, and the Lagrange multiplier test to detect ARCH components is an example. The size distortion of such test suggests adopting a weighted test, where the weights are computed through a forward search algorithm. Simulations show that the forward weighted robust test is preferable to the classical Lagrange test and to existing robust tests, which are based on backward weighted regression or on estimated autocorrelation function. The forward weighted robust test is applied to daily financial and quarterly macroeconomic time series, showing its usefulness in detecting ARCH effects, even when outliers are present.
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Bibliographic InfoArticle provided by Elsevier in its journal Computational Statistics & Data Analysis.
Volume (Year): 53 (2009)
Issue (Month): 6 (April)
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- Philip Hans Franses & Dick van Dijk & Andre Lucas, 2004.
"Short patches of outliers, ARCH and volatility modelling,"
Applied Financial Economics,
Taylor and Francis Journals, vol. 14(4), pages 221-231.
- Philip Hans Franses & Dick van Dijk & André Lucas, 1998. "Short Patches of Outliers, ARCH and Volatility Modeling," Tinbergen Institute Discussion Papers 98-057/4, Tinbergen Institute.
- Aggarwal, Reena & Inclan, Carla & Leal, Ricardo, 1999. "Volatility in Emerging Stock Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(01), pages 33-55, March.
- Sentana, Enrique, 1995.
"Quadratic ARCH Models,"
Review of Economic Studies,
Wiley Blackwell, vol. 62(4), pages 639-61, October.
- Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
- Duchesne, Pierre, 2004. "On robust testing for conditional heteroscedasticity in time series models," Computational Statistics & Data Analysis, Elsevier, vol. 46(2), pages 227-256, June.
- Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993.
" On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks,"
Journal of Finance,
American Finance Association, vol. 48(5), pages 1779-1801, December.
- Lawrence R. Glosten & Ravi Jagannathan & David E. Runkle, 1993. "On the relation between the expected value and the volatility of the nominal excess return on stocks," Staff Report 157, Federal Reserve Bank of Minneapolis.
- Dijk, D.J.C. van & Franses, Ph.H.B.F. & Lucas, A., 1996.
"Testing for ARCH in the Presence of Additive Outliers,"
Econometric Institute Report
EI 9659-/A, Erasmus University Rotterdam, Econometric Institute.
- van Dijk, Dick & Franses, Philip Hans & Lucas, Andre, 1999. "Testing for ARCH in the Presence of Additive Outliers," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(5), pages 539-62, Sept.-Oct.
- Giordani, Paolo & Kohn, Robert & van Dijk, Dick, 2007.
"A unified approach to nonlinearity, structural change, and outliers,"
Journal of Econometrics,
Elsevier, vol. 137(1), pages 112-133, March.
- Giordani, P. & Kohn, R. & Dijk, D.J.C. van, 2005. "A unified approach to nonlinearity, structural change and outliers," Econometric Institute Report EI 2005-09, Erasmus University Rotterdam, Econometric Institute.
- González-Rivera Gloria, 1998. "Smooth-Transition GARCH Models," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(2), pages 1-20, July.
- Balke, Nathan S & Fomby, Thomas B, 1994.
"Large Shocks, Small Shocks, and Economic Fluctuations: Outliers in Macroeconomic Time Series,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 9(2), pages 181-200, April-Jun.
- Nathan S. Balke & Thomas B. Fomby, 1991. "Large shocks, small shocks, and economic fluctuations: outliers in macroeconomic times series," Research Paper 9101, Federal Reserve Bank of Dallas.
- M. Angeles Carnero & Daniel Peña & Esther Ruiz, 2007.
"Effects of outliers on the identification and estimation of GARCH models,"
Journal of Time Series Analysis,
Wiley Blackwell, vol. 28(4), pages 471-497, 07.
- Carnero, María Ángeles & Peña, Daniel & Ruiz, Esther, . "Effects of outliers on the identification and estimation of GARCH models," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/4742, Universidad Carlos III de Madrid.
- James H. Stock & Mark W. Watson, 2003.
"Understanding Changes in International Business Cycle Dynamics,"
NBER Working Papers
9859, National Bureau of Economic Research, Inc.
- James H. Stock & Mark W. Watson, 2005. "Understanding Changes In International Business Cycle Dynamics," Journal of the European Economic Association, MIT Press, vol. 3(5), pages 968-1006, 09.
- Olivier Blanchard & John Simon, 2001. "The Long and Large Decline in U.S. Output Volatility," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 32(1), pages 135-174.
- Xibin Zhang, 2004. "Assessment of Local Influence in GARCH Processes," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(2), pages 301-313, 03.
- Grané, Aurea & Veiga, Helena, 2010. "Wavelet-based detection of outliers in financial time series," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2580-2593, November.
- Boudt, Kris & Croux, Christophe, 2010. "Robust M-estimation of multivariate GARCH models," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2459-2469, November.
- Aurea Grané & Helena Veiga, 2010. "Outliers in Garch models and the estimation of risk measures," Statistics and Econometrics Working Papers ws100502, Universidad Carlos III, Departamento de Estadística y Econometría.
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