DOI QR코드

DOI QR Code

Choice of the Kernel Function in Smoothing Moment Restrictions for Dependent Processes

  • Lee, Jin (Dept. of Economics, Konkuk Univ.)
  • Published : 2009.01.31

Abstract

We study on selecting the kernel weighting function in smoothing moment conditions for dependent processes. For hypothesis testing in Generalized Method of Moments or Generalized Empirical Likelihood context, we find that smoothing moment conditions by Bartlett kernel delivers smallest size distortions based on empirical Edgeworth expansions of the long-run variance estimator.

Keywords

References

  1. Andrews, D. W. K. (1991). Heteroskedasticity and autocorrelation consistent covariance matrix esti-mation, Econometrica, 59, 817-858 https://doi.org/10.2307/2938229
  2. Guggenberger, P. and Smith, R. (2006). Generalized empirical likelihood tests in time series models with potential identification failure, Manuscript, UCLA
  3. Hannan, E. J. (1970). Multiple Time Series, Wiley, New York
  4. Kitamura, Y. and Stutzer, M. (1997). An information-theoretic alternative to generalized method of moments estimation, Econometrica, 65, 861-874 https://doi.org/10.2307/2171942
  5. Kleibergen, F. (2005). Testing parameters in GMM without assuming that they are identified, Econo-metrica, 73, 1103-1123 https://doi.org/10.1111/j.1468-0262.2005.00610.x
  6. Otsu, T. (2006). Generalized empirical likelihood inference for nonlinear and time series models under weak identification, Econometric Theory, 22, 513-527 https://doi.org/10.1017/S0266466606060257
  7. Priestley, M. B. (1981). Spectral Analysis and Time Series, Academic Press, New York
  8. Smith, R. J. (2005). Automatic positive semidefinite HAC covariance matrix and GMM estimation, Econometric Theory, 21, 158-170 https://doi.org/10.1017/S0266466605050103
  9. Stock, J. H. and Wright, J. (2000). GMM with weak instruments, Econometrica, 68, 1055-1096 https://doi.org/10.1111/1468-0262.00151
  10. Sun, Y. X., Phillips, P. C. B. and Jin, S. (2005). Optimal bandwidth selection in heteroskedasticity-autocorrelation robust testing, Econometrica https://doi.org/10.1111/j.0012-9682.2008.00822.x
  11. Tripathi, G. and Kitamura, Y. (2003). Testing conditional moment restrictions, The Annals of Statistics, 31, 2059-2095 https://doi.org/10.1214/aos/1074290337
  12. Velasco, C. and Robinson, P. (2001). Edgeworth expansions for spectral density estimates and stu-dentized sample mean, Econometric Theory, 17, 497-539 https://doi.org/10.1017/S0266466601173019