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Non-linear DSGE Models, The Central Difference Kalman Filter, and The Mean Shifted Particle Filter

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Author Info
Martin Møller Andreasen () (School of Economics and Management, University of Aarhus, Denmark and CREATES)
Abstract

This paper shows how non-linear DSGE models with potential non-normal shocks can be estimated by Quasi-Maximum Likelihood based on the Central Difference Kalman Filter (CDKF). The advantage of this estimator is that evaluating the quasi log-likelihood function only takes a fraction of a second. The second contribution of this paper is to derive a new particle filter which we term the Mean Shifted Particle Filter (MSPFb). We show that the MSPFb outperforms the standard Particle Filter by delivering more precise state estimates, and in general the MSPFb has lower Monte Carlo variation in the reported log-likelihood function.

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Paper provided by School of Economics and Management, University of Aarhus in its series CREATES Research Papers with number 2008-33.

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Length: 45
Date of creation: 20 Jun 2008
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Handle: RePEc:aah:create:2008-33

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Web page: http://www.econ.au.dk/afn/

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Related research
Keywords: Multivariate Stirling interpolation; Particle filtering; Non-linear DSGE models; Non-normal shocks; Quasi-maximum likelihood;

Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods
E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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  1. Tim Bollerslev & Jeffrey Wooldridge, 1992. "Quasi-maximum likelihood estimation and inference in dynamic models with time-varying covariances," Econometric Reviews, Taylor and Francis Journals, vol. 11(2), pages 143-172. [Downloadable!] (restricted)
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  3. David E. Altig & Lawrence J. Christiano & Martin Eichenbaum & Jesper Linde, 2004. "Firm-specific capital, nominal rigidities, and the business cycle," Working Paper 0416, Federal Reserve Bank of Cleveland. [Downloadable!]
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  4. Antonio Moreno & Geert Bekaert & Seonghoon Cho, 2004. "New-Keynesian Macroeconomics and the Term Structure," 2004 Meeting Papers 388, Society for Economic Dynamics. [Downloadable!]
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  5. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 755-775, January. [Downloadable!] (restricted)
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  6. Giorgio Primiceri & Alejandro Justiniano, 2006. "The Time Varying Volatility of Macroeconomic Fluctuations," 2006 Meeting Papers 353, Society for Economic Dynamics. [Downloadable!]
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  7. Duffie, Darrell & Singleton, Kenneth J, 1993. "Simulated Moments Estimation of Markov Models of Asset Prices," Econometrica, Econometric Society, vol. 61(4), pages 929-52, July. [Downloadable!] (restricted)
  8. Godsill, Simon J. & Doucet, Arnaud & West, Mike, 2004. "Monte Carlo Smoothing for Nonlinear Time Series," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 156-168, January. [Downloadable!] (restricted)
  9. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
    Other versions:
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