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Forecasting and Signal Extraction with Misspecified Models

  • Tommaso Proietti

    (Dipartimento di Scienze Statistiche, Università di Udine)

The paper illustrates and compares estimation methods alternative to maximum likelihood, among which multistep estimation and leave-one-out cross-validation, for the purposes of signal extraction, and in particular the separation of the trend from the cycle in economic time series, and long-range forecasting, in the presence of a misspecified, but simply parameterised model. Our workhorse models are two popular unobserved components models, namely the local level and the local linear model. The paper introduces a metric for assessing the accuracy of the unobserved components estimates and concludes that cross- validation is not a suitable estimation criterion for the purpose considered, whereas multistep estimation can be valuable. Finally, we propose a local likelihood estimator in the frequency domain that provides a simple and alternative way of making operative the notion of emphasising the long-run properties of a time series.

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Paper provided by EconWPA in its series Econometrics with number 0401002.

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Length: 34 pages
Date of creation: 07 Jan 2004
Date of revision:
Handle: RePEc:wpa:wuwpem:0401002
Note: Type of Document - ; prepared on WinXP; pages: 34; figures: 9
Contact details of provider: Web page: http://econwpa.repec.org

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  1. Neil Shephard & Jurgen Doornik & Siem Jan Koopman, 1998. "Statistical algorithms for models in state space using SsfPack 2.2," Economics Series Working Papers 1998-W06, University of Oxford, Department of Economics.
  2. Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
  3. Proietti, Tommaso & Harvey, Andrew, 2000. "A Beveridge-Nelson smoother," Economics Letters, Elsevier, vol. 67(2), pages 139-146, May.
  4. Clements, Michael P & Hendry, David F, 1996. "Multi-step Estimation for Forecasting," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(4), pages 657-84, November.
  5. Tommaso Proietti, 2003. "Leave-K-Out Diagnostics In State-Space Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(2), pages 221-236, 03.
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