Using the "Chandrasekhar Recursions" for likelihood evaluation of DSGE models
AbstractIn likelihood-based estimation of linearized Dynamic Stochastic General Equilibrium (DSGE) models, the evaluation of the Kalman Filter dominates the running time of the entire algorithm. In this paper, we revisit a set of simple recursions known as the "Chandrasekhar Recursions" developed by Morf (1974) and Morf, Sidhu, and Kalaith (1974) for evaluating the likelihood of a Linear Gaussian State Space System. We show that DSGE models are ideally suited for the use of these recursions, which work best when the number of states is much greater than the number of observables. In several examples, we show that there are substantial benefits to using the recursions, with likelihood evaluation up to five times faster. This gain is especially pronounced in light of the trivial implementation costs--no model modification is required. Moreover, the algorithm is complementary with other approaches.
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Bibliographic InfoPaper provided by Board of Governors of the Federal Reserve System (U.S.) in its series Finance and Economics Discussion Series with number 2012-35.
Date of creation: 2012
Date of revision:
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-05-29 (All new papers)
- NEP-DGE-2012-05-29 (Dynamic General Equilibrium)
- NEP-ECM-2012-05-29 (Econometrics)
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- Ingvar Strid & Karl Walentin, 2009.
"Block Kalman Filtering for Large-Scale DSGE Models,"
Society for Computational Economics, vol. 33(3), pages 277-304, April.
- Strid, Ingvar & Walentin, Karl, 2008. "Block Kalman filtering for large-scale DSGE models," Working Paper Series 224, Sveriges Riksbank (Central Bank of Sweden).
- Chib, Siddhartha & Ramamurthy, Srikanth, 2010. "Tailored randomized block MCMC methods with application to DSGE models," Journal of Econometrics, Elsevier, vol. 155(1), pages 19-38, March.
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