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Modified Scheffé’s Prediction Bands

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  • Anna Staszewska-Bystrova

    ()
    (University of Lotz, Poland)

Abstract

The formula for the Scheffé prediction bands proposed by Jordà and Marcellino (2010) is reconsidered. It is demonstrated, that in many cases of practical interest, the bands fail to satisfactorily approximate the uncertainty associated with a path-forecast. A modification of the Scheffé method is proposed which improves the coverage properties of the bands.

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Bibliographic Info

Article provided by Justus-Liebig University Giessen, Department of Statistics and Economics in its journal Journal of Economics and Statistics.

Volume (Year): 233 (2013)
Issue (Month): 5-6 (October)
Pages: 680-690

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Handle: RePEc:jns:jbstat:v:233:y:2013:i:5-6:p:680-690

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Related research

Keywords: Prediction band; Scheffé’s band; path-forecast; vector autoregression;

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References

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  1. Ivan Savin & Peter Winker, 2011. "Heuristic model selection for leading indicators in Russia and Germany," MAGKS Papers on Economics 201101, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
  2. Winker, Peter & Meyer, Mark, 2004. "Using HP Filtered Data for Econometric Analysis : Some Evidence from Monte Carlo Simulations," Discussion Papers 2004,001E, University of Erfurt, Faculty of Economics, Law and Social Sciences.
  3. Konstantin A. Kholodilin & Boriss Siliverstovs, 2005. "On the Forecasting Properties of the Alternative Leading Indicators for the German GDP: Recent Evidence," Discussion Papers of DIW Berlin 522, DIW Berlin, German Institute for Economic Research.
  4. Staszewska, Anna, 2007. "Representing uncertainty about response paths: The use of heuristic optimisation methods," Computational Statistics & Data Analysis, Elsevier, vol. 52(1), pages 121-132, September.
  5. Anindya Banerjee & Victor Bystrov & Paul Mizen, 2013. "How Do Anticipated Changes to Short‐Term Market Rates Influence Banks' Retail Interest Rates? Evidence from the Four Major Euro Area Economies," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45(7), pages 1375-1414, October.
  6. Jordà, Òscar & Marcellino, Massimiliano, 2008. "Path Forecast Evaluation," CEPR Discussion Papers 7009, C.E.P.R. Discussion Papers.
  7. Lorenzo Pascual & Esther Ruiz & Diego Fresoli, 2011. "Bootstrap forecast of multivariate VAR models without using the backward representation," Statistics and Econometrics Working Papers ws113426, Universidad Carlos III, Departamento de Estadística y Econometría.
  8. Helmut Lütkepohl & Anna Staszewska-Bystrova & Peter Winker, 2013. "Comparison of Methods for Constructing Joint Confidence Bands for Impulse Response Functions," Discussion Papers of DIW Berlin 1292, DIW Berlin, German Institute for Economic Research.
  9. Anna Staszewska‐Bystrova, 2011. "Bootstrap prediction bands for forecast paths from vector autoregressive models," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 30(8), pages 721-735, December.
  10. Staszewska-Bystrova, Anna & Winker, Peter, 2013. "Constructing narrowest pathwise bootstrap prediction bands using threshold accepting," International Journal of Forecasting, Elsevier, vol. 29(2), pages 221-233.
  11. Kilian, Lutz, 2001. "Impulse Response Analysis in Vector Autoregressions with Unknown Lag Order," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 20(3), pages 161-79, April.
  12. �scar Jordà, 2009. "Simultaneous Confidence Regions for Impulse Responses," The Review of Economics and Statistics, MIT Press, vol. 91(3), pages 629-647, August.
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Cited by:
  1. Òscar Jordá & Malte Knuppel & Massimiliano Marcellino, 2012. "Empirical simultaneous prediction regions for path-forecasts," Working Paper Series 2012-05, Federal Reserve Bank of San Francisco.
  2. Helmut Lütkepohl & Anna Staszewska-Bystrova & Peter Winker, 2013. "Comparison of Methods for Constructing Joint Confidence Bands for Impulse Response Functions," SFB 649 Discussion Papers SFB649DP2013-031, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.

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