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Estimating dynamic equilibrium economies: linear versus nonlinear likelihood

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Author Info
Juan F. Rubio-Ramirez (Research Department, Federal Reserve Bank of Atlanta, USA)
Jesus Fernández-Villaverde (Department of Economics, University of Pennsylvania, USA)
Abstract

This paper compares two methods for undertaking likelihood-based inference in dynamic equilibrium economies: a sequential Monte Carlo filter and the Kalman filter. The sequential Monte Carlo filter exploits the nonlinear structure of the economy and evaluates the likelihood function of the model by simulation methods. The Kalman filter estimates a linearization of the economy around the steady state. We report two main results. First, both for simulated and for real data, the sequential Monte Carlo filter delivers a substantially better fit of the model to the data as measured by the marginal likelihood. This is true even for a nearly linear case. Second, the differences in terms of point estimates, although relatively small in absolute values, have important effects on the moments of the model. We conclude that the nonlinear filter is a superior procedure for taking models to the data. Copyright © 2005 John Wiley & Sons, Ltd.

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File URL: http://hdl.handle.net/10.1002/jae.814
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File URL: http://qed.econ.queensu.ca:80/jae/2005-v20.7/
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Publisher Info
Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 20 (2005)
Issue (Month): 7 ()
Pages: 891-910
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Handle: RePEc:jae:japmet:v:20:y:2005:i:7:p:891-910

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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.:
  1. Christopher A. Sims & Jinill Kim & Sunghyun Kim, 2003. "Calculating and Using Second Order Accurate Solution of Discrete Time Dynamic Equilibrium Models," Computing in Economics and Finance 2003 162, Society for Computational Economics. [Downloadable!]
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  2. Ali Dib, 2001. "An Estimated Canadian DSGE Model with Nominal and Real Rigidities," Working Papers 01-26, Bank of Canada. [Downloadable!]
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  3. Hafedh Bouakez & Emanuela Cardia & Francisco J. Ruge-Murcia, 2002. "Habit Formation and the Persistence of Monetary Shocks," Working Papers 02-27, Bank of Canada. [Downloadable!]
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  4. Kevin Moran & Veronika Dolar, 2002. "Estimated DGE Models and Forecasting Accuracy: A Preliminary Investigation with Canadian Data," Working Papers 02-18, Bank of Canada. [Downloadable!]
  5. Jesus Fernandez-Villaverde & Juan Rubio & Manuel Santos, 2005. "Convergence Properties of the Likelihood of Computed Dynamic Models," NBER Technical Working Papers 0315, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. Fernandez-Villaverde, Jesus & Francisco Rubio-Ramirez, Juan, 2004. "Comparing dynamic equilibrium models to data: a Bayesian approach," Journal of Econometrics, Elsevier, vol. 123(1), pages 153-187, November. [Downloadable!] (restricted)
  7. McGrattan, Ellen R & Rogerson, Richard & Wright, Randall, 1997. "An Equilibrium Model of the Business Cycle with Household Production and Fiscal Policy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(2), pages 267-90, May.
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  8. Chang-Jin Kim & James Morley & Jeremy Piger, 2003. "Nonlinearity and the permanent effects of recessions," Working Papers 2002-014, Federal Reserve Bank of St. Louis. [Downloadable!]
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(explanations, 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.)

  1. Jesus Fernandez-Villaverde & Juan F. Rubio-Ramirez, 2006. "Estimating Macroeconomic Models: A Likelihood Approach," NBER Technical Working Papers 0321, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. Fernández-Villaverde, Jesús & Rubio-Ramirez, Juan Francisco, 2006. "Estimating Macroeconomic Models: A Likelihood Approach," CEPR Discussion Papers 5513, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  3. Fabio Canova & Luca Sala, 2005. "Back to square one: identification issues in DSGE models," Economics Working Papers 927, Department of Economics and Business, Universitat Pompeu Fabra, revised Sep 2006. [Downloadable!]
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  4. Jesús Fernández-Villaverde & Juan F Rubio-Ramírez, 2007. "How Structural Are Structural Parameters?," Levine's Bibliography 843644000000000057, UCLA Department of Economics. [Downloadable!]
  5. Jesus Fernandez-Villaverde & Juan F. Rubio-Ramirez, 2006. "The Research Agenda: Jesus Fernandez-Villaverde and Juan F. Rubio-Ramirez on Estimating DSGE Models," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 8(1), November. [Downloadable!]
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