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Comparison of Misspecified Calibrated Models: The Minimum Distance Approach

  • Hnatkovska, Viktoria
  • Marmer, Vadim
  • Tang, Yao

This paper proposes several testing procedures for comparison of misspecified calibrated models. The proposed tests are of the Vuong-type (Vuong, 1989; Rivers and Vuong, 2002). In our framework, the econometrician selects values for model's parameters in order to match some characteristics of data with those implied by the theoretical model. We assume that all competing models are misspecified, and suggest a test for the null hypothesis that they provide equivalent fit to data characteristics, against the alternative that one of the models is a better approximation. We consider both nested and non-nested cases. We also relax the dependence of models' ranking on the choice of a weight matrix by suggesting averaged and sup-norm procedures. The methods are illustrated by comparing the cash-in-advance and portfolio adjustment cost models in their ability to match the impulse responses of output and inflation to money growth shocks.

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File URL: http://microeconomics.ca/vadim_marmer/calibr23.pdf
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Paper provided by Vancouver School of Economics in its series Microeconomics.ca working papers with number vadim_marmer-2008-14.

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Length: 22 pages
Date of creation: 16 Oct 2008
Date of revision: 28 Sep 2011
Handle: RePEc:ubc:pmicro:vadim_marmer-2008-14
Contact details of provider: Web page: http://www.economics.ubc.ca/

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  1. Raymond Kan & Cesare Robotti, 2009. "Model Comparison Using the Hansen-Jagannathan Distance," Review of Financial Studies, Society for Financial Studies, vol. 22(9), pages 3449-3490, September.
  2. Hall, Alastair R. & Inoue, Atsushi, 2003. "The large sample behaviour of the generalized method of moments estimator in misspecified models," Journal of Econometrics, Elsevier, vol. 114(2), pages 361-394, June.
  3. Frank Schorfheide, 2000. "Loss function-based evaluation of DSGE models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(6), pages 645-670.
  4. Lawrence J. Christiano & Martin Eichenbaum, 1992. "Liquidity Effects and the Monetary Transmission Mechanism," NBER Working Papers 3974, National Bureau of Economic Research, Inc.
  5. Lucas, Robert Jr., 1990. "Liquidity and interest rates," Journal of Economic Theory, Elsevier, vol. 50(2), pages 237-264, April.
  6. Halbert White, 2000. "A Reality Check for Data Snooping," Econometrica, Econometric Society, vol. 68(5), pages 1097-1126, September.
  7. Lawrence J. Christiano & Martin Eichenbaum, 1992. "Liquidity effects, the monetary transmission mechanism, and monetary policy," Economic Perspectives, Federal Reserve Bank of Chicago, issue Nov, pages 2-14.
  8. Timothy Cogley & James M. Nason, 1993. "Output dynamics in real business cycle models," Working Papers in Applied Economic Theory 93-10, Federal Reserve Bank of San Francisco.
  9. Gourieroux, C. & Monfort, A. & Renault, E., 1992. "Indirect Inference," Papers 92.279, Toulouse - GREMAQ.
  10. Blanchard, Olivier Jean & Quah, Danny, 1989. "The Dynamic Effects of Aggregate Demand and Supply Disturbances," American Economic Review, American Economic Association, vol. 79(4), pages 655-73, September.
  11. Canova, Fabio, 1994. "Statistical Inference in Calibrated Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(S), pages S123-44, Suppl. De.
  12. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-33, March.
  13. Allan W. Gregory & Gregor W. Smith, 1991. "Calibration in Macroeconomics," Working Papers 826, Queen's University, Department of Economics.
  14. Corradi, Valentina & Swanson, Norman R., 2007. "Evaluation of dynamic stochastic general equilibrium models based on distributional comparison of simulated and historical data," Journal of Econometrics, Elsevier, vol. 136(2), pages 699-723, February.
  15. Maasoumi, Esfandiar & Phillips, Peter C. B., 1982. "On the behavior of inconsistent instrumental variable estimators," Journal of Econometrics, Elsevier, vol. 19(2-3), pages 183-201, August.
  16. Fuerst, Timothy S., 1992. "Liquidity, loanable funds, and real activity," Journal of Monetary Economics, Elsevier, vol. 29(1), pages 3-24, February.
  17. Hnatkovska, Viktoria & Marmer, Vadim & Tang, Yao, 2009. "Supplement to "Comparison of Misspecified Calibrated Models"," Microeconomics.ca working papers vadim_marmer-2009-58, Vancouver School of Economics, revised 03 Feb 2011.
  18. Douglas Rivers & Quang Vuong, 2002. "Model selection tests for nonlinear dynamic models," Econometrics Journal, Royal Economic Society, vol. 5(1), pages 1-39, June.
  19. Dridi, Ramdan & Guay, Alain & Renault, Eric, 2007. "Indirect inference and calibration of dynamic stochastic general equilibrium models," Journal of Econometrics, Elsevier, vol. 136(2), pages 397-430, February.
  20. Kenneth D. West, 1994. "Asymptotic Inference About Predictive Ability," Macroeconomics 9410002, EconWPA.
  21. Lawrence J. Christiano, 1991. "Modeling the liquidity effect of a money shock," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, pages 3-34.
  22. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-44, January.
  23. Nason, James M & Cogley, Timothy, 1994. "Testing the Implications of Long-Run Neutrality for Monetary Business Cycle Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(S), pages S37-70, Suppl. De.
  24. Gregory, Allan W & Smith, Gregor W, 1991. "Calibration as Testing: Inference in Simulated Macroeconomic Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(3), pages 297-303, July.
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