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A New Class of Indirect Estimators and Bias Correction

  • Antonis Demos

    ()

    (www.aueb.gr/users/demos)

  • Stelios Arvanitis

    ()

In this paper we define a set of indirect estimators based on moment approximations of the auxilary estimators. We provide results that describe higher order asymptotic properties of these estimators. The introduction of these is motivated by reasons of analytical and computational facilitation. We extend this set to a class of multistep indirect estimators that have potentially useful higher order bias properties. Furthermore, the widely employed "feasibly biased corrected estimator" is an one optimazation step approxiamtion of the suggested on.

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Paper provided by Athens University of Economics and Business in its series DEOS Working Papers with number 1023.

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Date of creation: 22 Jul 2010
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Handle: RePEc:aue:wpaper:1023
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  1. Gabriele Fiorentini & Enrique Sentana, 2001. "Constrained Indirect Inference Estimation," FMG Discussion Papers dp384, Financial Markets Group.
  2. Gallant, A. Ronald & Tauchen, George, 1996. "Which Moments to Match?," Econometric Theory, Cambridge University Press, vol. 12(04), pages 657-681, October.
  3. Dimitra Kyriakopoulou & Antonis Demos, 2008. "Edgeworth and Moment Approximations: The Case of MM and QML Estimators for the MA(1) Models," DEOS Working Papers 1003, Athens University of Economics and Business, revised 03 May 2010.
  4. Andrews, Donald W.K., 2002. "EQUIVALENCE OF THE HIGHER ORDER ASYMPTOTIC EFFICIENCY OF k-STEP AND EXTREMUM STATISTICS," Econometric Theory, Cambridge University Press, vol. 18(05), pages 1040-1085, October.
  5. Antonis Demos & Stelios Arvanitis, 2010. "Stochastic Expansions and Moment Approximations for Three Indirect Estimators," DEOS Working Papers 1004, Athens University of Economics and Business.
  6. Magdalinos, Michael A., 1992. "Stochastic Expansions and Asymptotic Approximations," Econometric Theory, Cambridge University Press, vol. 8(03), pages 343-367, September.
  7. Corradi, Valentina & Iglesias, Emma M., 2008. "Bootstrap refinements for QML estimators of the GARCH(1,1) parameters," Journal of Econometrics, Elsevier, vol. 144(2), pages 500-510, June.
  8. Iglesias, Emma M. & Linton, Oliver B., 2007. "Higher Order Asymptotic Theory When A Parameter Is On A Boundary With An Application To Garch Models," Econometric Theory, Cambridge University Press, vol. 23(06), pages 1136-1161, December.
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