IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

Likelihood-preserving normalization in multiple equation models

  • Daniel F. Waggoner
  • Tao Zha

Causal analysis in multiple equation models often revolves around the evaluation of the effects of an exogenous shift in a structural equation. When taking into account the uncertainty implied by the shape of the likelihood, we argue that how normalization is implemented matters for inferential conclusions around the maximum likelihood (ML) estimates of such effects. We develop a general method that eliminates the distortion of finite-sample inferences about these ML estimates after normalization. We show that our likelihood-preserving normalization always maintains coherent economic interpretations while an arbitrary implementation of normalization can lead to ill-determined inferential results.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.frbatlanta.org//filelegacydocs/wp0008.pdf
Download Restriction: no

Paper provided by Federal Reserve Bank of Atlanta in its series Working Paper with number 2000-8.

as
in new window

Length:
Date of creation: 2000
Date of revision:
Handle: RePEc:fip:fedawp:2000-8
Contact details of provider: Postal: 1000 Peachtree St., N.E., Atlanta, Georgia 30309
Phone: 404-521-8500
Web page: http://www.frbatlanta.org/
Email:


More information through EDIRC

Order Information: Email:


References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Lawrence J. Christiano & Martin Eichenbaum & Charles Evans, 2001. "Nominal rigidities and the dynamic effects of a shock to monetary policy," Working Paper 0107, Federal Reserve Bank of Cleveland.
  2. Tobin, James, 1970. "Money and Income: Post Hoc Ergo Propter Hoc?," The Quarterly Journal of Economics, MIT Press, vol. 84(2), pages 301-17, May.
  3. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 1997. "Monetary policy shocks: what have we learned and to what end?," Working Paper Series, Macroeconomic Issues WP-97-18, Federal Reserve Bank of Chicago.
  4. Lieberman, Charles, 1979. "Structural and Technological Change in Money Demand," American Economic Review, American Economic Association, vol. 69(2), pages 324-29, May.
  5. Cushman, David O. & Zha, Tao, 1997. "Identifying monetary policy in a small open economy under flexible exchange rates," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 433-448, August.
  6. Poole, William, 1970. "Optimal Choice of Monetary Policy Instruments in a Simple Stochastic Macro Model," The Quarterly Journal of Economics, MIT Press, vol. 84(2), pages 197-216, May.
  7. Geweke, John, 1996. "Monte carlo simulation and numerical integration," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 15, pages 731-800 Elsevier.
  8. Christopher A. Sims & Tao Zha, 1994. "Error Bands for Impulse Responses," Cowles Foundation Discussion Papers 1085, Cowles Foundation for Research in Economics, Yale University.
  9. Ben S. Bernanke & Ilian Mihov, 1998. "Measuring Monetary Policy," The Quarterly Journal of Economics, MIT Press, vol. 113(3), pages 869-902, August.
  10. Adrian R. Pagan & John C. Robertson, 1995. "Resolving the liquidity effect," Review, Federal Reserve Bank of St. Louis, issue May, pages 33-54.
  11. Waggoner, Daniel F. & Zha, Tao, 2003. "A Gibbs sampler for structural vector autoregressions," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 349-366, November.
  12. Robert J. Barro, 1976. "Unanticipated Money Growth and Unemployment in the United States," Working Papers 234, Queen's University, Department of Economics.
  13. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-54, April.
  14. Eric M. Leeper & Tao Zha, 2001. "Assessing simple policy rules: a view from a complete macroeconomic model," Review, Federal Reserve Bank of St. Louis, issue Jul, pages 83-112.
  15. Robert G. King & Charles I. Plosser & James H. Stock & Mark W. Watson, 1987. "Stochastic Trends and Economic Fluctuations," NBER Working Papers 2229, National Bureau of Economic Research, Inc.
  16. Jon Faust, 1998. "The robustness of identified VAR conclusions about money," International Finance Discussion Papers 610, Board of Governors of the Federal Reserve System (U.S.).
  17. James D. Hamilton & Daniel F. Waggoner & Tao Zha, 2004. "Normalization in econometrics," Working Paper 2004-13, Federal Reserve Bank of Atlanta.
  18. Christopher A. Sims, 1986. "Are forecasting models usable for policy analysis?," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, pages 2-16.
  19. Eric M. Leeper, 1995. "Reducing our ignorance about monetary policy effects," Economic Review, Federal Reserve Bank of Atlanta, issue Jul, pages 1-38.
  20. Eric M. Leeper & David B. Gordon, 1991. "In search of the liquidity effect," Working Paper 91-17, Federal Reserve Bank of Atlanta.
  21. Sims, Christopher A & Zha, Tao, 1998. "Bayesian Methods for Dynamic Multivariate Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 949-68, November.
  22. Wilson, Charles A, 1979. "Equilibrium and Adverse Selection," American Economic Review, American Economic Association, vol. 69(2), pages 313-17, May.
  23. Eric M. Leeper & Christopher A. Sims & Tao Zha, 1996. "What Does Monetary Policy Do?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 27(2), pages 1-78.
  24. Warren Dent & John Geweke, 1980. "On Specification in Simultaneous Equation Models," NBER Chapters, in: Evaluation of Econometric Models, pages 169-196 National Bureau of Economic Research, Inc.
  25. Christopher A. Sims & Tao A. Zha, 1998. "Does monetary policy generate recessions?," Working Paper 98-12, Federal Reserve Bank of Atlanta.
  26. Stiglitz, Joseph E & Weiss, Andrew, 1981. "Credit Rationing in Markets with Imperfect Information," American Economic Review, American Economic Association, vol. 71(3), pages 393-410, June.
  27. Zha, Tao, 1999. "Block recursion and structural vector autoregressions," Journal of Econometrics, Elsevier, vol. 90(2), pages 291-316, June.
  28. Faust, Jon, 1998. "The robustness of identified VAR conclusions about money," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 49(1), pages 207-244, December.
  29. Daniel F. Waggoner & Tao Zha, 1997. "Normalization, probability distribution, and impulse responses," Working Paper 97-11, Federal Reserve Bank of Atlanta.
  30. Nason, James M & Cogley, Timothy, 1994. "Testing the Implications of Long-Run Neutrality for Monetary Business Cycle Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(S), pages S37-70, Suppl. De.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:fip:fedawp:2000-8. 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: (Meredith Rector)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.