On Identification of Bayesian DSGE Models
In recent years there has been increasing concern about the identification of parameters in dynamic stochastic general equilibrium (DSGE) models. Given the structure of DSGE models it may be difficult to determine whether a parameter is identified. For the researcher using Bayesian methods, a lack of identification may not be evident since the posterior of a parameter of interest may differ from its prior even if the parameter is unidentified. We show that this can be the case even if the priors assumed on the structural parameters are independent. We suggest two Bayesian identification indicators that do not suffer from this difficulty and are relatively easy to compute. The first applies to DSGE models where the parameters can be partitioned into those that are known to be identified and the rest where it is not known whether they are identified. In such cases the marginal posterior of an unidentified parameter will equal the posterior expectation of the prior for that parameter conditional on the identified parameters. The second indicator is more generally applicable and considers the rate at which the posterior precision gets updated as the sample size (T) is increased. For identified parameters the posterior precision rises with T, whilst for an unidentified parameter its posterior precision may be updated but its rate of update will be slower than T. This result assumes that the identified parameters are ãT-consistent, but similar differential rates of updates for identified and unidentified parameters can be established in the case of super consistent estimators. These results are illustrated by means of simple DSGE models.
|Date of creation:||2011|
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- Marco Del Negro & Frank Schorfheide, 2008.
"Forming priors for DSGE models (and how it affects the assessment of nominal rigidities),"
320, Federal Reserve Bank of New York.
- Del Negro, Marco & Schorfheide, Frank, 2008. "Forming priors for DSGE models (and how it affects the assessment of nominal rigidities)," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1191-1208, October.
- Del Negro, Marco & Schorfheide, Frank, 2007. "Forming Priors for DSGE Models (and How It Affects the Assessment of Nominal Rigidities)," CEPR Discussion Papers 6119, C.E.P.R. Discussion Papers.
- Marco Del Negro & Frank Schorfheide, 2006. "Forming priors for DSGE models (and how it affects the assessment of nominal rigidities)," FRB Atlanta Working Paper 2006-16, Federal Reserve Bank of Atlanta.
- Marco Del Negro & Frank Schorfheide, 2008. "Forming Priors for DSGE Models (and How it Affects the Assessment of Nominal Rigidities)," NBER Working Papers 13741, National Bureau of Economic Research, Inc.
- Frank Schorfheide & Marco Del Negro, 2007. "Forming Priors for DSGE Models (and How It Affects the Assessment of Nominal Rigidities)," 2007 Meeting Papers 283, Society for Economic Dynamics.
- Pudney, S. E., 1982. "The identification of rational expectations models under structural neutrality," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 117-121, November.
- Juan F. Rubio-Ramírez & Daniel F. Waggoner & Tao Zha, 2008.
"Structural vector autoregressions: theory of identification and algorithms for inference,"
FRB Atlanta Working Paper
2008-18, Federal Reserve Bank of Atlanta.
- Juan F. Rubio-Ramírez & Daniel F. Waggoner & Tao Zha, 2010. "Structural Vector Autoregressions: Theory of Identification and Algorithms for Inference," Review of Economic Studies, Oxford University Press, vol. 77(2), pages 665-696.
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