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A Pretest to Differentiate Between Weak and Nearly-Weak Instrument Asymptotics

Year 2011, Volume: 3 Issue: 2, 13 - 21, 01.12.2011

Abstract

We propose a pretest, bootstrap Kolmogorov-Smirnov test, to differentiate between weak and nearly-weak asymptotics. This is based on bootstrapping Wald Continuous Updating Estimator (CUE) based test. Since Wald CUE test has different limits under weak and nearly-weak cases this can be used in a pretest. We also conduct some simulations and show that some of the asset pricing models conform to nearly-weak asymptotics.

References

  • Anderson, T.W. and H. Rubin (1949). Estimation of the Parameters of a Single Equation in a Complete System of Stochastic Equations. Annals of Mathematical Statistics, 20, 46-63.
  • Andrews, D.W.K. (1994). Empirical Process Methods in Econometrics. Handbook of Econometrics, 4, 2247-2294.
  • Antoine, B. and E. Renault (2007). Efficient GMM with nearly-weak identification. Working paper. Department of Economics, University of North Carolina-Chapel Hill.
  • Caner, M. (2010). Testing, Estimation in GMM and CUE with Nearly-Weak IdentiŞcation. Econometric Reviews, 29, 330-363.
  • Hahn, J. and G. Kuersteiner (2002). Discontinuities of Weak Instrument Limiting Distributions. Economics Letters, 75, 325-331.
  • Hall, P. and J.L. Horowitz (1996). Bootstrap critical values for tests based on generalized method of moments estimators. Econometrica, 64, 891-916.
  • Hansen, L.P., J. Heaton and A. Yaron (1996). Finite Sample Properties of Some Alternative GMM Estimators. Journal of Business and Economic Statistics, 14, 262-280.
  • Kleibergen, F. (2005). Testing Parameters in GMM Without Assuming That They Are IdentiŞed. Econometrica, 73, 1103-1124.
  • Mood, A.M., F.A. Graybill and D.C. Boes (1974). Introduction to the Theory of Statistics. New-York: Mc-Graw Hill.
  • Phillips, P.C.B. and J.Y. Park (1988). On the Formulation of Wald Tests of Nonlinear Restrictions. Econometrica, 56, 1065-1083.
  • Stock, J.H. and J.H. Wright (2000). GMM with Weak Identification. Econometrica, 68, 1055- 1096.
Year 2011, Volume: 3 Issue: 2, 13 - 21, 01.12.2011

Abstract

References

  • Anderson, T.W. and H. Rubin (1949). Estimation of the Parameters of a Single Equation in a Complete System of Stochastic Equations. Annals of Mathematical Statistics, 20, 46-63.
  • Andrews, D.W.K. (1994). Empirical Process Methods in Econometrics. Handbook of Econometrics, 4, 2247-2294.
  • Antoine, B. and E. Renault (2007). Efficient GMM with nearly-weak identification. Working paper. Department of Economics, University of North Carolina-Chapel Hill.
  • Caner, M. (2010). Testing, Estimation in GMM and CUE with Nearly-Weak IdentiŞcation. Econometric Reviews, 29, 330-363.
  • Hahn, J. and G. Kuersteiner (2002). Discontinuities of Weak Instrument Limiting Distributions. Economics Letters, 75, 325-331.
  • Hall, P. and J.L. Horowitz (1996). Bootstrap critical values for tests based on generalized method of moments estimators. Econometrica, 64, 891-916.
  • Hansen, L.P., J. Heaton and A. Yaron (1996). Finite Sample Properties of Some Alternative GMM Estimators. Journal of Business and Economic Statistics, 14, 262-280.
  • Kleibergen, F. (2005). Testing Parameters in GMM Without Assuming That They Are IdentiŞed. Econometrica, 73, 1103-1124.
  • Mood, A.M., F.A. Graybill and D.C. Boes (1974). Introduction to the Theory of Statistics. New-York: Mc-Graw Hill.
  • Phillips, P.C.B. and J.Y. Park (1988). On the Formulation of Wald Tests of Nonlinear Restrictions. Econometrica, 56, 1065-1083.
  • Stock, J.H. and J.H. Wright (2000). GMM with Weak Identification. Econometrica, 68, 1055- 1096.
There are 11 citations in total.

Details

Other ID JA74KC83VM
Journal Section Articles
Authors

Mehmet Caner This is me

Publication Date December 1, 2011
Submission Date December 1, 2011
Published in Issue Year 2011 Volume: 3 Issue: 2

Cite

APA Caner, M. (2011). A Pretest to Differentiate Between Weak and Nearly-Weak Instrument Asymptotics. International Econometric Review, 3(2), 13-21.
AMA Caner M. A Pretest to Differentiate Between Weak and Nearly-Weak Instrument Asymptotics. IER. December 2011;3(2):13-21.
Chicago Caner, Mehmet. “A Pretest to Differentiate Between Weak and Nearly-Weak Instrument Asymptotics”. International Econometric Review 3, no. 2 (December 2011): 13-21.
EndNote Caner M (December 1, 2011) A Pretest to Differentiate Between Weak and Nearly-Weak Instrument Asymptotics. International Econometric Review 3 2 13–21.
IEEE M. Caner, “A Pretest to Differentiate Between Weak and Nearly-Weak Instrument Asymptotics”, IER, vol. 3, no. 2, pp. 13–21, 2011.
ISNAD Caner, Mehmet. “A Pretest to Differentiate Between Weak and Nearly-Weak Instrument Asymptotics”. International Econometric Review 3/2 (December 2011), 13-21.
JAMA Caner M. A Pretest to Differentiate Between Weak and Nearly-Weak Instrument Asymptotics. IER. 2011;3:13–21.
MLA Caner, Mehmet. “A Pretest to Differentiate Between Weak and Nearly-Weak Instrument Asymptotics”. International Econometric Review, vol. 3, no. 2, 2011, pp. 13-21.
Vancouver Caner M. A Pretest to Differentiate Between Weak and Nearly-Weak Instrument Asymptotics. IER. 2011;3(2):13-21.