Information Criteria for Impulse Response Function Matching Estimation of DSGE Models'

Alastair R. Hall, Atsushi Inoue, James Nason, Barbara Rossi

Research output: Working paper


We propose new information criteria for impulse response function matching estimators (IRFMEs). These estimators yield sampling distributions of the structural parameters of dynamic stochastic general equilibrium (DSGE) models by minimizing the distance between sample and theoretical impulse responses. First, we propose an information criterion to select only the responses that produceconsistent estimates of the true but unknown structural parameters: the Valid Impulse Response Selection Criterion (VIRSC). The criterion is especially useful for mis-specified models. Second, we propose a criterion to select the impulse responses that are most informative about DSGE model parameters: the Relevant Impulse Response Selection Criterion (RIRSC). These criteria can be used in combination to select the subset of valid impulse response functions with minimal dimension that yields asymptotically efficient estimators. The criteria are general enough to apply to impulse responses estimated by VARs, local projections, andsimulation methods. We show that the use of our criteria significantly affects estimates and inference about key parameters of two well-known new Keynesian DSGE models. Monte Carlo evidence indicates that the criteria yield gains in terms of finite sample bias as well as o¤ering tests statistics whose behavior is betterapproximated by …first order asymptotic theory. Thus, our criteria improve on existing methods used to implement IRFMEs.
Original languageEnglish
Place of PublicationUniversity of Manchester
Number of pages53
Publication statusPublished - 2009

Publication series

NameCentre for Growth and Business Cycle Research
PublisherCentre for Growth and Business Cycle Research


  • Macroeconomic modelling, impulse response functions


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