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References (23)
-
G. Box, G. Jenkins, G. Reinsel, G. Ljung (1978)
Time Series Analysis: Forecasting and ControlThe Statistician, 27
-
Nathan Balke, T. Fomby (1994)
Large Shocks, Small Shocks, and Economic Fluctuations: Outliers in Macroeconomic Time SeriesJournal of Applied Econometrics, 9
-
John Lee (1991)
A Lagrange Multiplier Test for Garch ModelsEconomics Letters, 37
-
Engle Engle (1982)
Autoregressive conditional heteroscedasticity with estimates of the variance of UK inflationEconometrica, 50
-
Nathan Balke (1993)
Detecting Level Shifts in Time SeriesJournal of Business & Economic Statistics, 11
-
A. McLeod, W. Li (1983)
DIAGNOSTIC CHECKING ARMA TIME SERIES MODELS USING SQUARED‐RESIDUAL AUTOCORRELATIONSJournal of Time Series Analysis, 4
-
G. Janacek (2003)
Non‐linear Time Series Models in Empirical Finance, 52
-
R. Engle (1982)
Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflationEconometrica, 50
-
A. Atkinson, H.-M. Mulira (1993)
The stalactite plot for the detection of multivariate outliersStatistics and Computing, 3
-
J. Ledolter (1989)
The effect of additive outliers on the forecasts from ARIMA modelsInternational Journal of Forecasting, 5
-
R. Tsay (2005)
Analysis of Financial Time SeriesTechnometrics, 48
-
D. Dijk, P. Franses, A. Lucas (1999)
Testing for ARCH in the presence of additive outliersJournal of Applied Econometrics, 14
-
H. Wong, W. Li (1995)
Portmanteau test for conditional heteroscedasticity, using ranks of squared residualsJournal of Applied Statistics, 22
-
P. Franses, Hendrik Ghijsels (1999)
Additive outliers, GARCH and forecasting volatilityInternational Journal of Forecasting, 15
-
A. Atkinson, M. Riani (2000)
Robust Diagnostic Regression Analysis -
R. Lumsdaine, Serena Ng (1999)
Testing for ARCH in the presence of a possibly misspecified conditional meanJournal of Econometrics, 93
-
T. Bollerslev (1986)
Generalized autoregressive conditional heteroskedasticityJournal of Econometrics, 31
-
J. But-Man, M. Otto, Nash Monsour (1972)
Outliers in Time SeriesJournal of the royal statistical society series b-methodological, 34
-
L. Grossi, M. Riani (2002)
Robust Time Series Analysis through the Forward Search -
P. Rousseeuw, A. Leroy (2005)
Robust Regression and Outlier Detection -
R. Tsay (1988)
Outliers, Level Shifts, and Variance Changes in Time SeriesJournal of Forecasting, 7
-
L. Haan, S. Resnick, H. Rootzén, C. Vries (1989)
Extremal behaviour of solutions to a stochastic difference equation with applications to arch processesStochastic Processes and their Applications, 32
-
R. Luukkonen, P. Saikkonen, T. Teräsvirta (1988)
Testing linearity in univariate, time series modelsScandinavian Journal of Statistics, 15
- Publisher
- Wiley
- Copyright
- Copyright © 2004 John Wiley & Sons, Ltd.
- ISSN
- 1524-1904
- eISSN
- 1526-4025
- DOI
- 10.1002/asmb.508
- Publisher site
- See Article on Publisher Site
Abstract
Macroeconomic and financial time series are often tested for the presence of non‐linearity effects. Sometimes, small patches of extremal observations may wrongly influence non‐linearity tests. In this paper, a robust analysis of the Lagrange multiplier (LM) test for GARCH components is suggested. With Monte‐Carlo simulation we show that extreme observations might cause over‐estimation of the number of GARCH components, with the main contribution consisting by introducing the forward search method into the GARCH model family. Using robust estimators of regression coefficients and graphical displays of results, the effect of influential observations on estimates can be efficiently monitored. Analysing macroeconomic and financial time series we show that identifying the order of a GARCH model can be unduly influenced by a few isolated large values, and extremal observations affect p‐values and t‐statistics in an unexpected manner. Copyright © 2004 John Wiley & Sons, Ltd.
Journal
Applied Stochastic Models in Business and Industry – Wiley
Published: Apr 1, 2004