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Asymptotic Distributions of Impulse Response Functions and Forecast Error Variance Decompositions of Vector Autoregressive Models

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Lutkepohl, Helmut

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Abstract

In recent years, vector autoregressive models have become standard tools for economic analyses. Impulse response functions and forecast error variance decompositions are usually computed from these models in order to investigate the interrelationships within the system. However, sometimes no measures of estimation uncertainty are provided by authors. One reason may be that the relevant asymptotic distribution theory is distributed over various publications. In this article, the available results are summarized and the missing links are provided in order to facilitate the computation of standard errors and test statistics. Copyright 1990 by MIT Press.

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Publisher Info
Article provided by MIT Press in its journal Review of Economics & Statistics.

Volume (Year): 72 (1990)
Issue (Month): 1 (February)
Pages: 116-25
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Handle: RePEc:tpr:restat:v:72:y:1990:i:1:p:116-25

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  1. Guidi, Francesco, 2009. "The economic effects of oil prices shocks on the UK manufacturing and services sector," MPRA Paper 16171, University Library of Munich, Germany. [Downloadable!]
  2. 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!]
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  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. Lutz Kilian & Silvia Goncalves, 2002. "Bootstrapping autoregressions with conditional heteroskedasticity of unknown form," Working Paper Series 196, European Central Bank. [Downloadable!]
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  5. Bruneau, C. & Jondeau, E., 1998. "Long-Run Causality, with an Application to International Links Between Long-Term Interest Rates," Documents de Travail 53, Banque de France. [Downloadable!]
  6. Monika Blaszkiewicz-Schwartzman, 2007. "Explaining Exchange Rate Movements in New Member States of the European Union: Nominal and Real Convergence," Money Macro and Finance (MMF) Research Group Conference 2006 144, Money Macro and Finance Research Group. [Downloadable!]
  7. Francisco J. Climent & Vicente Meneu, . "Has 1997 Asian Crisis Increased Information Flows Between International Markets?," Working Papers on International Economics and Finance 01-01, FEDEA. [Downloadable!]
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  8. Francis X. Diebold & Glenn D. Rudebusch & S. Boragan Aruoba, 2003. "The macroeconomy and the yield curve: a nonstructural analysis," Working Papers in Applied Economic Theory 2003-18, Federal Reserve Bank of San Francisco. [Downloadable!]
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  9. H. L"Utkepohl & P. Saikkonen, . "Impulse Response Analysis in Infinite Order Cointegrated Vector Autoregressive Processes," Sonderforschungsbereich 373 1995-11, Humboldt Universitaet Berlin.
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  10. Shinji Takagi & Mototsugu Shintani & Tetsuro Okamoto, 2003. "Measuring the Economic Impact of Monetary Union: The Case of Okinawa," Working Papers 0315, Department of Economics, Vanderbilt University. [Downloadable!]
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  11. Fanelli, Luca & Paruolo, Paolo, 2007. "Speed of Adjustment in Cointegrated Systems," MPRA Paper 9174, University Library of Munich, Germany. [Downloadable!]
  12. Kyung Won Lee & James R Schmidt & George E. Rejda, 1999. "Unemployment Insurance And State Economic Activity," International Economic Journal, Korean International Economic Association, vol. 13(3), pages 77-95, October. [Downloadable!] (restricted)
  13. Benkwitz, Alexander & Lütkepohl, Helmut & Wolters, Jürgen, 1999. "Comparison of Bootstrap Confidence Intervals for Impulse Responses of German Monetary Systems," CEPR Discussion Papers 2208, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  14. Christopher A. Sims & Tao Zha, 1994. "Error Bands for Impulse Responses," Cowles Foundation Discussion Papers 1085, Cowles Foundation, Yale University. [Downloadable!]
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  15. Villani, Mattias & Warne, Anders, 2003. "Monetary Policy Analysis in a Small Open Economy using Bayesian Cointegrated Structural VARs," Working Paper Series 156, Sveriges Riksbank (Central Bank of Sweden). [Downloadable!]
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  16. Ida Wolden Bache, 2006. "Assessing the structural VAR approach to exchange rate pass-through," Computing in Economics and Finance 2006 309, Society for Computational Economics. [Downloadable!]
  17. H. Lütkepohl, . "Bootstrapping Impulse Responses in VAR Analyses," Sonderforschungsbereich 373 2000-22, Humboldt Universitaet Berlin.
  18. Kyungho Jang, 2001. "Impulse Response Analysis with Long Run Restrictions on Error Correction Models," Working Papers 01-04, Ohio State University, Department of Economics. [Downloadable!]
  19. 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)
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