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On the behavior of inconsistent instrumental variable estimators

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  • Maasoumi, Esfandiar
  • Phillips, Peter C. B.

Abstract

Results published recently by Hendry (1979) for the limiting distribution of inconsistent instrumental variable estimators in misspecified dynamic systems are incorrect. In particular, Hendry's derivations involve the use of an appropriate control variate and lead to an expression for the covariance matrix of the limiting distribution which, in general, omits many additional terms. Correct formulae are given in the present paper and the accuracy of the asymptotic distribution in finite samples is investigated in a simple case using the know exact small sample distribution. On the basis of our exact results, we argue for caution in the use of response surface regressions of the type recommended by Hendry in Monte Carlo experiments; and we emphasize the need for qualifying statements concerning the parameter environments in which the adequacy of these regressions has been substantiated.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 19 (1982)
Issue (Month): 2-3 (August)
Pages: 183-201

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Handle: RePEc:eee:econom:v:19:y:1982:i:2-3:p:183-201

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Web page: http://www.elsevier.com/locate/jeconom

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Cited by:
  1. Vadim Marmer & Taisuke Otsu, 2009. "Optimal Comparison of Misspecified Moment Restriction Models under a Chosen Measure of Fit," Cowles Foundation Discussion Papers 1724, Cowles Foundation for Research in Economics, Yale University, revised Jul 2011.
  2. Neil R. Ericsson, 1987. "Monte Carlo methodology and the finite sample properties of statistics for testing nested and non-nested hypotheses," International Finance Discussion Papers 317, Board of Governors of the Federal Reserve System (U.S.).
  3. Neil R. Ericsson, 1986. "Post-simulation analysis of Monte Carlo experiments: interpreting Pesaran's (1974) study of non-nested hypothesis test statistics," International Finance Discussion Papers 276, Board of Governors of the Federal Reserve System (U.S.).
  4. Hendry, David F., 1984. "Monte carlo experimentation in econometrics," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 16, pages 937-976 Elsevier.
  5. Jondeau, Eric & Le Bihan, Hervé, 2008. "Examining bias in estimators of linear rational expectations models under misspecification," Journal of Econometrics, Elsevier, vol. 143(2), pages 375-395, April.
  6. Kiviet, Jan F. & Niemczyk, Jerzy, 2007. "The asymptotic and finite sample distributions of OLS and simple IV in simultaneous equations," Computational Statistics & Data Analysis, Elsevier, vol. 51(7), pages 3296-3318, April.
  7. Partha Deb & James F. Burgess, Jr., 2003. "A Quasi-experimental Comparison of Econometric Models for Health Care Expenditures," Hunter College Department of Economics Working Papers 212, Hunter College: Department of Economics.
  8. Hnatkovska, Viktoria & Marmer, Vadim & Tang, Yao, 2012. "Comparison of misspecified calibrated models: The minimum distance approach," Journal of Econometrics, Elsevier, vol. 169(1), pages 131-138.
  9. 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.

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