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The effects of dynamic feedbacks on LS and MM estimator accuracy in panel data models: Some additional results

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  • Hayakawa, Kazuhiko

Abstract

In this paper, we show that the order of magnitude of the finite sample bias of the estimator of Bun and Kiviet (2006) reduces from O(T/N) to O(1/N) if the original level model is transformed by the upper triangular Cholesky factorization of the inverse of the pseudo variance matrix of error component ui wherein true values of the variances of individual effects and disturbances may not be used. Some variants of the system GMM estimator that are associated with the Cholesky-transformed model are also discussed.

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  • Hayakawa, Kazuhiko, 2010. "The effects of dynamic feedbacks on LS and MM estimator accuracy in panel data models: Some additional results," Journal of Econometrics, Elsevier, vol. 159(1), pages 202-208, November.
    • Handle: RePEc:eee:econom:v:159:y:2010:i:1:p:202-208
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    1. Arellano, Manuel & Bover, Olympia, 1995. "Another look at the instrumental variable estimation of error-components models," Journal of Econometrics, Elsevier, vol. 68(1), pages 29-51, July.
    2. Javier Alvarez & Manuel Arellano, 2003. "The Time Series and Cross-Section Asymptotics of Dynamic Panel Data Estimators," Econometrica, Econometric Society, vol. 71(4), pages 1121-1159, July.
    3. Bun, Maurice J.G. & Kiviet, Jan F., 2006. "The effects of dynamic feedbacks on LS and MM estimator accuracy in panel data models," Journal of Econometrics, Elsevier, vol. 132(2), pages 409-444, June.
    4. Hiroaki Chigira & Taku Yamamoto, 2006. "A Bias-Corrected Estimation for Dynamic Panel Models in Small Samples," Hi-Stat Discussion Paper Series d06-177, Institute of Economic Research, Hitotsubashi University.
    5. Kazuhiko Hayakawa, 2006. "The Asymptotic Properties of the System GMM Estimator in Dynamic Panel Data Models When Both N and T are Large," Hi-Stat Discussion Paper Series d05-129, Institute of Economic Research, Hitotsubashi University.
    6. Arellano, Manuel, 2003. "Panel Data Econometrics," OUP Catalogue, Oxford University Press, number 9780199245291.
    7. Hayakawa, Kazuhiko, 2007. "Small sample bias properties of the system GMM estimator in dynamic panel data models," Economics Letters, Elsevier, vol. 95(1), pages 32-38, April.
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    Cited by:

    1. Jan Kiviet & Milan Pleus & Rutger Poldermans, 2017. "Accuracy and Efficiency of Various GMM Inference Techniques in Dynamic Micro Panel Data Models," Econometrics, MDPI, vol. 5(1), pages 1-54, March.
    2. Hayakawa, Kazuhiko, 2019. "Alternative over-identifying restriction test in the GMM estimation of panel data models," Econometrics and Statistics, Elsevier, vol. 10(C), pages 71-95.
    3. Jan F. Kiviet & Milan Pleus & Rutger Poldermans, 2014. "Accuracy and efficiency of various GMM inference techniques in dynamic micro panel data models," UvA-Econometrics Working Papers 14-09, Universiteit van Amsterdam, Dept. of Econometrics.

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