Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/169206 
Year of Publication: 
2017
Series/Report no.: 
SFB 649 Discussion Paper No. 2017-016
Publisher: 
Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk, Berlin
Abstract: 
While incomplete models are desirable due to their robustness to misspecification, they cannot be used to conduct full information exercises i.e. counterfactual experiments and predictions. Moreover, the performance of the corresponding GMM estimators is fragile in small samples. To deal with both issues, we propose the use of an auxiliary conditional model for the observables f(X, '), where the equilibrium conditions E(m(X, #)) = 0 are imposed on f(X, ') using information projections, and (#, ') are estimated jointly. We provide the asymptotic theory for parameter estimates for a general set of conditional projection densities, under correct and local misspecification of f(X, '). In either cases, efficiency gains are significant. We provide simulation evidence for the Mean Squared Error (MSE) both under the case of local and fixed density misspecification and apply the method to the prototypical stochastic growth model. Moreover, we illustrate that given (#ˆ, 'ˆ) it is now feasible to do counterfactual experiments without explicitly solving for the equilibrium law of motion.
Subjects: 
Incomplete models
Information projections
Small Samples
Shrinkage
JEL: 
C13
C14
E10
Document Type: 
Working Paper

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