On the predictive content of nonlinear transformations of lagged autoregression residuals and time series observations
AbstractThis study focuses on the question whether nonlinear transformation of lagged time series values and residuals are able to systematically improve the average forecasting performance of simple Autoregressive models. Furthermore it investigates the potential superior forecasting results of a nonlinear Threshold model. For this reason, a large-scale comparison over almost 400 time series which span from 1996:3 up to 2008:12 (production indices, price indices, unemployment rates, exchange rates, money supply) from 10 European countries is made. The average forecasting performance is appraised by means of Mean Group statistics and simple t-tests. Autoregressive models are extended by transformed first lags of residuals and time series values. Whereas additional transformation of lagged time series values are able to reduce the ex-ante forecast uncertainty and provide a better directional accuracy, transformations of lagged residuals also lead to smaller forecast errors. Furthermore, the nonlinear Threshold model is able to capture certain type of economic behavior in the data and provides superior forecasting results than a simple Autoregressive model. These findings are widely independent of considered economic variables. --
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Hamburg Institute of International Economics (HWWI) in its series HWWI Research Papers with number 113.
Date of creation: 2011
Date of revision:
Time series modeling; forecasting comparison; nonlinear transformations; Threshold Autoregressive modeling; average forecasting performance;
Find related papers by JEL classification:
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
- C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
- C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-11-21 (All new papers)
- NEP-ETS-2011-11-21 (Econometric Time Series)
- NEP-FOR-2011-11-21 (Forecasting)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Marcellino, Massimiliano & Stock, James H. & Watson, Mark W., 2006.
"A comparison of direct and iterated multistep AR methods for forecasting macroeconomic time series,"
Journal of Econometrics,
Elsevier, vol. 135(1-2), pages 499-526.
- Marcellino, Massimiliano & Stock, James H & Watson, Mark W, 2005. "A Comparison of Direct and Iterated Multistep AR Methods for Forecasting Macroeconomic Time Series," CEPR Discussion Papers 4976, C.E.P.R. Discussion Papers.
- Massimiliano Marcellino & James Stock & Mark Watson, 2005. "A Comparison of Direct and Iterated Multistep AR Methods for Forecasting Macroeconomic Time Series," Working Papers 285, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Pesaran, H.M. & Timmermann, A., 2003.
"How Costly is it to Ignore Breaks when Forecasting the Direction of a Time Series?,"
Cambridge Working Papers in Economics
0306, Faculty of Economics, University of Cambridge.
- Pesaran, M. Hashem & Timmermann, Allan, 2004. "How costly is it to ignore breaks when forecasting the direction of a time series?," International Journal of Forecasting, Elsevier, vol. 20(3), pages 411-425.
- Allan Timmermann & M. Hashem Pesaran, 2003. "How Costly is it to Ignore Breaks when Forecasting the Direction of a Time Series?," CESifo Working Paper Series 875, CESifo Group Munich.
- Pesaran, M. Hashem & Timmermann, Allan, 2007. "Selection of estimation window in the presence of breaks," Journal of Econometrics, Elsevier, vol. 137(1), pages 134-161, March.
- Clements, Michael P & Smith, Jeremy, 1996.
"A Monte Carlo Study of the Forecasting Performance of Empirical Setar Models,"
The Warwick Economics Research Paper Series (TWERPS)
464, University of Warwick, Department of Economics.
- Clements, Michael P & Smith, Jeremy, 1999. "A Monte Carlo Study of the Forecasting Performance of Empirical SETAR Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(2), pages 123-41, March-Apr.
- Hansen,B.E., 1999.
"Testing for linearity,"
7, Wisconsin Madison - Social Systems.
- Andrews, Donald W K, 1993.
"Tests for Parameter Instability and Structural Change with Unknown Change Point,"
Econometric Society, vol. 61(4), pages 821-56, July.
- Donald W.K. Andrews, 1990. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Cowles Foundation Discussion Papers 943, Cowles Foundation for Research in Economics, Yale University.
- Francis X. Diebold & James M. Nason, 1989.
"Nonparametric exchange rate prediction?,"
Finance and Economics Discussion Series
81, Board of Governors of the Federal Reserve System (U.S.).
- Helmut Lütkepohl & Fang Xu, 2012.
"The role of the log transformation in forecasting economic variables,"
Springer, vol. 42(3), pages 619-638, June.
- Helmut Luetkepohl & Fang Xu, 2009. "The Role of the Log Transformation in Forecasting Economic Variables," CESifo Working Paper Series 2591, CESifo Group Munich.
- Hohenleitner, Ingrid & Hillmann, Katja, 2012.
"Impact of Benefit Sanctions on Unemployment Outflow - Evidence from German Survey Data,"
Annual Conference 2012 (Goettingen): New Approaches and Challenges for the Labor Market of the 21st Century
66055, Verein für Socialpolitik / German Economic Association.
- Hillmann, Katja & Hohenleitner, Ingrid, 2012. "Impact of benefit sanctions on unemployment outflow: Evidence from German survey data," HWWI Research Papers 129 [rev.], Hamburg Institute of International Economics (HWWI).
- Hillmann, Katja & Hohenleitner, Ingrid, 2012. "Impact of benefit sanctions on unemployment outflow: Evidence from German survey data," HWWI Research Papers 129, Hamburg Institute of International Economics (HWWI).
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (ZBW - German National Library of Economics).
If references are entirely missing, you can add them using this form.