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A New Class of Indirect Estimators and Bias Correction

Author

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  • Antonis Demos

    (www.aueb.gr/users/demos)

  • Stelios Arvanitis

Abstract

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.

Suggested Citation

  • Antonis Demos & Stelios Arvanitis, 2010. "A New Class of Indirect Estimators and Bias Correction," DEOS Working Papers 1023, Athens University of Economics and Business.
  • Handle: RePEc:aue:wpaper:1023
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    File URL: http://wpa.deos.aueb.gr/docs/GMR2star.pdf
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    References listed on IDEAS

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    1. 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(5), pages 1040-1085, October.
    2. Antonis Demos & Stelios Arvanitis, 2010. "Stochastic Expansions and Moment Approximations for Three Indirect Estimators," DEOS Working Papers 1004, Athens University of Economics and Business.
    3. Magdalinos, Michael A., 1992. "Stochastic Expansions and Asymptotic Approximations," Econometric Theory, Cambridge University Press, vol. 8(3), pages 343-367, September.
    4. Gallant, A. Ronald & Tauchen, George, 1996. "Which Moments to Match?," Econometric Theory, Cambridge University Press, vol. 12(4), pages 657-681, October.
    5. Calzorali, Giorgio & Fiorentini, Gabriele & Sentana, Enrique, 2001. "Constrained indirect inference estimation," LSE Research Online Documents on Economics 25061, London School of Economics and Political Science, LSE Library.
    6. 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(6), pages 1136-1161, December.
    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. 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.
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    Cited by:

    1. Arvanitis Stelios & Demos Antonis, 2018. "On the Validity of Edgeworth Expansions and Moment Approximations for Three Indirect Inference Estimators," Journal of Econometric Methods, De Gruyter, vol. 7(1), pages 1-38, January.
    2. Stelios Arvanitis, 2014. "A simple example of an indirect estimator with discontinuous limit theory in the MA(1) model," Journal of Time Series Analysis, Wiley Blackwell, vol. 35(6), pages 536-557, November.

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