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Abstract Modern macroeconometrics often relies on time series models for which it is time-consuming to evaluate the likelihood function. We demonstrate how Bayesian computations for such models can be drastically accelerated by reweighting and mutating posterior draws from an approximating model that allows for fast likelihood evaluations, into posterior draws from the model of interest, using a sequential Monte Carlo (SMC) algorithm. We apply the technique to the estimation of a vector autoregression with stochastic volatility and two nonlinear dynamic stochastic general equilibrium models. The runtime reductions we obtain range from 27 % to 88 %.more » « less
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Aruoba, S. Borağan; Mlikota, Marko; Schorfheide, Frank; Villalvazo, Sergio (, Journal of Econometrics)
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Aruoba, S. Borağan; Cuba-Borda, Pablo; Higa-Flores, Kenji; Schorfheide, Frank; Villalvazo, Sergio (, Review of Economic Dynamics)
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Cai, Michael; Del Negro, Marco; Herbst, Edward; Matlin, Ethan; Sarfati, Reca; Schorfheide, Frank (, The Econometrics Journal)Summary This paper illustrates the usefulness of sequential Monte Carlo (SMC) methods in approximating dynamic stochastic general equilibrium (DSGE) model posterior distributions. We show how the tempering schedule can be chosen adaptively, document the accuracy and runtime benefits of generalized data tempering for ‘online’ estimation (that is, re-estimating a model as new data become available), and provide examples of multimodal posteriors that are well captured by SMC methods. We then use the online estimation of the DSGE model to compute pseudo-out-of-sample density forecasts and study the sensitivity of the predictive performance to changes in the prior distribution. We find that making priors less informative (compared with the benchmark priors used in the literature) by increasing the prior variance does not lead to a deterioration of forecast accuracy.more » « less
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