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Reducing asymptotic bias of weak instrumental estimation using independently repeated cross-sectional information

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  • Cai, Zongwu
  • Fang, Ying
  • Su, Jia

Abstract

In this paper, we consider the instrumental variable estimation (the two-stage least squares estimator and the limited information maximum likelihood estimator) using weak instruments in a repeated measurements or a panel data model. We show that independently repeated cross-sectional data can reduce the asymptotic bias of the instrumental variable estimation when instruments are weakly correlated with endogenous variables. When the number of repeated measurements tends to infinity, we can achieve consistent instrumental variable estimation with weak instruments.

Suggested Citation

  • Cai, Zongwu & Fang, Ying & Su, Jia, 2012. "Reducing asymptotic bias of weak instrumental estimation using independently repeated cross-sectional information," Statistics & Probability Letters, Elsevier, vol. 82(1), pages 180-185.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:1:p:180-185
    DOI: 10.1016/j.spl.2011.09.020
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    Cited by:

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    More about this item

    Keywords

    Bias reduction; Panel data; Weak instruments;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models

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