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Confidence intervals for impulse responses under departures from normality

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Lutz Kilian

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Abstract

Monte Carlo evidence shows that in structural VAR models with fat-tailed or skewed innovations the coverage accuracy of impulse response confidence intervals may deterorate substantially compared to the same model with Gaussian innovations. Empirical evidance suggests that such departures from normality are quite plausible for economic time series. The simulation results suggest that applied researchers are best off using nonparametric bootstrap intervals for impulse responses, regardless of whether or not there is evidence of fat tails or skewness in the error distribution. Allowing for departures from normality is shown to considerably weaken the evidence of the delayed overshooting puzzle in Eichenbaum and Evans (1995).

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File URL: http://www.informaworld.com/openurl?genre=article&doi=10.1080/07474939808800401&magic=repec&7C&7C8674ECAB8BB840C6AD35DC6213A474B5
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Publisher Info
Article provided by Taylor and Francis Journals in its journal Econometric Reviews.

Volume (Year): 17 (1998)
Issue (Month): 1 ()
Pages: 1-29
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Handle: RePEc:taf:emetrv:v:17:y:1998:i:1:p:1-29

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Related research
Keywords: structural VAR model; normality assumption; bootstrap; impulse response intervals; delayed overshooting puzzle;

Cited by:
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  1. Elena Pesavento & Barbara Rossi, 2006. "Impulse Responses Confidence Intervals for Persistent Data: What Have We Learned?," Emory Economics 0603, Department of Economics, Emory University (Atlanta). [Downloadable!]
    Other versions:
  2. Pesaran, M.H. & Yamagata. T., 2005. "Testing Slope Homogeneity in Large Panels," Cambridge Working Papers in Economics 0513, Faculty of Economics, University of Cambridge. [Downloadable!]
    Other versions:
  3. Jonathan H. Wright, 2000. "Exact confidence intervals for impulse responses in a Gaussian vector autoregression," International Finance Discussion Papers 682, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  4. Jae H. Kim & Philip I. Ji, 2004. "International linkage of real interest rates: the case of East Asian countries," Econometric Society 2004 Australasian Meetings 124, Econometric Society. [Downloadable!]
  5. Francis X. Diebold & Lutz Kilian, 2001. "Measuring predictability: theory and macroeconomic applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(6), pages 657-669. [Downloadable!]
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  6. Ralf Brüggemann, 2006. "Finite Sample Properties of Impulse Response Intervals in SVECMs with Long-Run Identifying Restrictions," SFB 649 Discussion Papers SFB649DP2006-021, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  7. Kilian, Lutz & Kim, Yun Jung, 2009. "Do Local Projections Solve the Bias Problem in Impulse Response Inference?," CEPR Discussion Papers 7266, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  8. Barbara Rossi & Elena Pesavento, 2006. "Small-sample confidence intervals for multivariate impulse response functions at long horizons," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(8), pages 1135-1155. [Downloadable!]
    Other versions:
  9. Philip Inyeob Ji & Jae H. Kim, 2005. "Real Interest Rate Linkages in the Pacific Basin Region," Monash Econometrics and Business Statistics Working Papers 23/05, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
  10. DUFOUR, Jean-Marie & PELLETIER, Denis & RENAULT, Éric, 2003. "Short Run and Long Run Causality in Time Series : Inference," Cahiers de recherche 14-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
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  11. Lorenzo Pascual & Juan Romo & Esther Ruiz, 2001. "Bootstrap Prediction Intervals For Power-Transformed Time Series," Statistics and Econometrics Working Papers ws010503, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
  12. DUFOUR, Jean-Marie & JOUINI, Tarek, 2005. "Finite-Sample Simulation-Based Inference in VAR Models with Applications to Order Selection and Causality Testing," Cahiers de recherche 2005-12, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
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  13. David Brownstone & Robert Valletta, 2001. "The Bootstrap and Multiple Imputations: Harnessing Increased Computing Power for Improved Statistical Tests," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 129-141, Fall. [Downloadable!] (restricted)
  14. A.H.J. den Reijer & P.J.G. Vlaar, 2003. "Forecasting Inflation in the Netherlands and the Euro Area," WO Research Memoranda (discontinued) 723, Netherlands Central Bank, Research Department. [Downloadable!]
  15. P.J.G. Vlaar & H. Schuberth, 1999. "Monetary Transmission and Controllability of Money in Europe: aStructural Vector Error Correction Approach," DNB Staff Reports (discontinued) 36, Netherlands Central Bank. [Downloadable!]
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