IDEAS home Printed from https://ideas.repec.org/p/fip/fedawp/95-6.html
   My bibliography  Save this paper

Error bands for impulse responses

Author

Listed:
  • Christopher A. Sims
  • Tao Zha

Abstract

We examine the theory and behavior in practice of Bayesian and bootstrap methods for generating error bands on impulse responses in dynamic linear models. The Bayesian intervals have a firmer theoretical foundation in small samples, are easier to compute, and are about as good in small samples by classical criteria as are the best bootstrap intervals. Bootstrap intervals based directly on the simulated small-sample distribution of an estimator, without bias correction, perform very badly. We show that a method that has been used to extend to the overidentified case standard algorithms for Bayesian intervals in reduced form models is incorrect, and we show how to obtain correct Bayesian intervals for this case.

Suggested Citation

  • Christopher A. Sims & Tao Zha, 1995. "Error bands for impulse responses," FRB Atlanta Working Paper 95-6, Federal Reserve Bank of Atlanta.
  • Handle: RePEc:fip:fedawp:95-6
    as

    Download full text from publisher

    File URL: http://www.frbatlanta.org/filelegacydocs/wp956.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Runkle, David E, 1987. "Vector Autoregressions and Reality," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(4), pages 437-442, October.
    2. Christopher A. Sims, 1986. "Are forecasting models usable for policy analysis?," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 10(Win), pages 2-16.
    3. Poterba, James M & Rotemberg, Julio J & Summers, Lawrence H, 1986. "A Tax-Based Test for Nominal Rigidities," American Economic Review, American Economic Association, vol. 76(4), pages 659-675, September.
    4. Kloek, Tuen & van Dijk, Herman K, 1978. "Bayesian Estimates of Equation System Parameters: An Application of Integration by Monte Carlo," Econometrica, Econometric Society, vol. 46(1), pages 1-19, January.
    5. Mittnik, Stefan & Zadrozny, Peter A, 1993. "Asymptotic Distributions of Impulse Responses, Step Responses, and Variance Decompositions of Estimated Linear Dynamic Models," Econometrica, Econometric Society, vol. 61(4), pages 857-870, July.
    6. Sims, Christopher A & Uhlig, Harald, 1991. "Understanding Unit Rooters: A Helicopter Tour," Econometrica, Econometric Society, vol. 59(6), pages 1591-1599, November.
    7. Gordon, David B & Leeper, Eric M, 1994. "The Dynamic Impacts of Monetary Policy: An Exercise in Tentative Identification," Journal of Political Economy, University of Chicago Press, vol. 102(6), pages 1228-1247, December.
    8. Koop, G, 1992. "Aggregate Shocks and Macroeconomic Fluctuations: A Bayesian Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(4), pages 395-411, Oct.-Dec..
    9. Sims, Christopher A & Stock, James H & Watson, Mark W, 1990. "Inference in Linear Time Series Models with Some Unit Roots," Econometrica, Econometric Society, vol. 58(1), pages 113-144, January.
    10. repec:nys:sunysb:93-01 is not listed on IDEAS
    11. Phillips, P C B, 1991. "To Criticize the Critics: An Objective Bayesian Analysis of Stochastic Trends," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(4), pages 333-364, Oct.-Dec..
    12. David E. Runkle, 1987. "Vector autoregressions and reality," Staff Report 107, Federal Reserve Bank of Minneapolis.
    13. Lutkepohl, Helmut, 1990. "Asymptotic Distributions of Impulse Response Functions and Forecast Error Variance Decompositions of Vector Autoregressive Models," The Review of Economics and Statistics, MIT Press, vol. 72(1), pages 116-125, February.
    14. Lastrapes, William D & Selgin, George A, 1994. "Buffer-Stock Money: Interpreting Short-Run Dynamics Using Long-Run Restrictions," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 26(1), pages 34-54, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Uhlig, Harald, 2005. "What are the effects of monetary policy on output? Results from an agnostic identification procedure," Journal of Monetary Economics, Elsevier, vol. 52(2), pages 381-419, March.
    2. Luis Fernando Melo & Franz A.Hamann, 1998. "Inflación Básica.Una Estimación Basada en Modelos VAR Estructurales," Borradores de Economia 093, Banco de la Republica de Colombia.
    3. Pesavento, Elena & Rossi, Barbara, 2007. "Impulse response confidence intervals for persistent data: What have we learned?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(7), pages 2398-2412, July.
    4. Leu, Shawn, 2004. "A New Keynesian Perspective of Monetary Policy Implementation in Austr alia," Working Papers 1, University of Sydney, School of Economics.
    5. Galadima, Mukhtar Danladi & Aminu, Abubakar Wambai, 2019. "Shocks effects of macroeconomic variables on natural gas consumption in Nigeria: Structural VAR with sign restrictions," Energy Policy, Elsevier, vol. 125(C), pages 135-144.
    6. Steel, Mark F.J. & Osiewalski, Jacek & Koop, Gary, 1992. "Posterior inference on long-run impulse responses," UC3M Working papers. Economics 2838, Universidad Carlos III de Madrid. Departamento de Economía.
    7. Tallman, Ellis & Moen, Jon, 1998. "Gold Shocks, Liquidity, and the United States Economy during the National Banking Era," Explorations in Economic History, Elsevier, vol. 35(4), pages 381-404, October.
    8. Keating, John W., 2000. "Macroeconomic Modeling with Asymmetric Vector Autoregressions," Journal of Macroeconomics, Elsevier, vol. 22(1), pages 1-28, January.
    9. Ireland, Peter N., 2004. "A method for taking models to the data," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1205-1226, March.
    10. Brüggemann, Ralf & Jentsch, Carsten & Trenkler, Carsten, 2016. "Inference in VARs with conditional heteroskedasticity of unknown form," Journal of Econometrics, Elsevier, vol. 191(1), pages 69-85.
    11. Gediminas Adomavicius & Jesse Bockstedt & Alok Gupta, 2012. "Modeling Supply-Side Dynamics of IT Components, Products, and Infrastructure: An Empirical Analysis Using Vector Autoregression," Information Systems Research, INFORMS, vol. 23(2), pages 397-417, June.
    12. Francisco F. R. Ramos, 1996. "Forecasting market shares using VAR and BVAR models: A comparison of their forecasting performance," Econometrics 9601003, University Library of Munich, Germany.
    13. 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.).
    14. Jose Tavares & Rossen Valkanov, 2001. "The neglected effect of fiscal policy on stock and bond returns," FEUNL Working Paper Series wp413, Universidade Nova de Lisboa, Faculdade de Economia.
    15. Kim, Soyoung & Roubini, Nouriel, 2000. "Exchange rate anomalies in the industrial countries: A solution with a structural VAR approach," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 561-586, June.
    16. Keuk-Soo Kim & W. Douglas McMillin, 2003. "Estimating the effects of monetary policy shocks: does lag structure matter?," Applied Economics, Taylor & Francis Journals, vol. 35(13), pages 1515-1526.
    17. Giulio Cifarelli & Giovanna Paladino, 2001. "Volatility spillovers and the role of leading financial centres," Banca Nazionale del Lavoro Quarterly Review, Banca Nazionale del Lavoro, vol. 54(216), pages 37-71.
    18. Schenkelberg, Heike & Watzka, Sebastian, 2013. "Real effects of quantitative easing at the zero lower bound: Structural VAR-based evidence from Japan," Journal of International Money and Finance, Elsevier, vol. 33(C), pages 327-357.
    19. Hakan Berument & Nergiz Dincer, 2005. "Denomination composition of trade and trade balance: evidence from Turkey," Applied Economics, Taylor & Francis Journals, vol. 37(10), pages 1177-1191.
    20. Stéphane Adjemian & Florian Pelgrin, 2008. "Un regard bayésien sur les modèles dynamiques de la macroéconomie," Economie & Prévision, La Documentation Française, vol. 0(2), pages 127-152.

    More about this item

    Keywords

    Econometric models;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:fip:fedawp:95-6. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/frbatus.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (email available below). General contact details of provider: https://edirc.repec.org/data/frbatus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.