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How to Maximize the Likelihood Function for a DSGE Model

Martin Andreasen

CREATES Research Papers from Department of Economics and Business Economics, Aarhus University

Abstract: This paper extends two optimization routines to deal with objective functions for DSGE models. The optimization routines are i) a version of Simulated Annealing developed by Corana, Marchesi & Ridella (1987), and ii) the evolutionary algorithm CMA-ES developed by Hansen, Müller & Koumoutsakos (2003). Following these extensions, we examine the ability of the two routines to maximize the likelihood function for a sequence of test economies. Our results show that the CMA-ES routine clearly outperforms Simulated Annealing in its ability to find the global optimum and in efficiency. With 10 unknown structural parameters in the likelihood function, the CMA-ES routine finds the global optimum in 95% of our test economies compared to 89% for Simulated Annealing. When the number of unknown structural parameters in the likelihood function increases to 20 and 35, then the CMA-ES routine finds the global optimum in 85% and 71% of our test economies, respectively. The corresponding numbers for Simulated Annealing are 70% and 0%.

Keywords: CMA-ES optimization routine; Multimodel objective function; Nelder-Mead simplex routine; Non-convex search space; Resampling; Simulated Annealing (search for similar items in EconPapers)
JEL-codes: C61 C88 E30 (search for similar items in EconPapers)
Pages: 30
Date: 2008-06-19
New Economics Papers: this item is included in nep-cmp, nep-dge, nep-ecm, nep-ets and nep-mac
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Citations: View citations in EconPapers (6)

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Journal Article: How to Maximize the Likelihood Function for a DSGE Model (2010) Downloads
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