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Efficiency comparison of random effects two stage least squares estimators

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  • Han, Chirok

Abstract

For two stage least squares estimation (2SLS) with panel data, Baltagi and Li (1992) have shown that Baltagi’s (1981) error-component 2SLS and Balestra and Varadharajan-Krishnakumar’s (1987) generalized 2SLS are equivalent in terms of asymptotic variance under the random effects error-component assumption. In the present paper this asymptotic equivalence is extended to models with heteroskedastic and serial correlated errors. However, it is shown that the equivalence does not hold if fixed effects are present in the reduced-form equations. The theoretical claims are verified by simulations and are examined for Cornwell and Trumbull’s (1994) model and data.

Suggested Citation

  • Han, Chirok, 2016. "Efficiency comparison of random effects two stage least squares estimators," Economics Letters, Elsevier, vol. 148(C), pages 59-62.
    • Handle: RePEc:eee:ecolet:v:148:y:2016:i:c:p:59-62
    DOI: 10.1016/j.econlet.2016.09.007
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    References listed on IDEAS

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    1. Badi H. Baltagi, 2006. "Estimating an economic model of crime using panel data from North Carolina," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(4), pages 543-547, May.
    2. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, December.
    3. Baltagi, Badi H. & Liu, Long, 2009. "A note on the application of EC2SLS and EC3SLS estimators in panel data models," Statistics & Probability Letters, Elsevier, vol. 79(20), pages 2189-2192, October.
    4. Badi H. Baltagi, 2021. "Simultaneous Equations with Error Components," Springer Texts in Business and Economics, in: Econometric Analysis of Panel Data, edition 6, chapter 0, pages 157-186, Springer.
    5. Baltagi, Badi H. & Li, Qi, 1992. "A Note on the Estimation of Simultaneous Equations with Error Components," Econometric Theory, Cambridge University Press, vol. 8(1), pages 113-119, March.
    6. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
    7. Cornwell, Christopher & Trumbull, William N, 1994. "Estimating the Economic Model of Crime with Panel Data," The Review of Economics and Statistics, MIT Press, vol. 76(2), pages 360-366, May.
    8. Balestra, Pietro & Varadharajan-Krishnakumar, Jayalakshmi, 1987. "Full Information Estimations of a System of Simultaneous Equations with Error Component Structure," Econometric Theory, Cambridge University Press, vol. 3(2), pages 223-246, April.
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    More about this item

    Keywords

    Panel data; Random effects; Two stage least squares; EC2SLS; G2SLS; Efficiency;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation

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