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Usage of an estimated coefficient as a dependent variable


  • Hornstein, Abigail S.
  • Greene, William H.


Two-step estimation with large panel data sets generally involves estimating vectors of individual-specific coefficients in a first-stage. In a second-stage estimation a vector of estimated coefficients is used as the dependent variable. Potential problems of heteroskedasticity in the second stage may be mitigated by weighting all independent observations by the inverse of the variance of the dependent variable, which is obtained from the first stage estimation. This approach needs to be modified if the dependent variable in the second stage is a non-linear function of the estimated coefficient.

Suggested Citation

  • Hornstein, Abigail S. & Greene, William H., 2012. "Usage of an estimated coefficient as a dependent variable," Economics Letters, Elsevier, vol. 116(3), pages 316-318.
  • Handle: RePEc:eee:ecolet:v:116:y:2012:i:3:p:316-318
    DOI: 10.1016/j.econlet.2012.03.027

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    References listed on IDEAS

    1. Art Durnev & Randall Morck & Bernard Yeung, 2004. "Value-Enhancing Capital Budgeting and Firm-specific Stock Return Variation," Journal of Finance, American Finance Association, vol. 59(1), pages 65-105, February.
    2. Saxonhouse, Gary R, 1976. "Estimated Parameters as Dependent Variables," American Economic Review, American Economic Association, vol. 66(1), pages 178-183, March.
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    1. Hornstein, Abigail S., 2013. "Corporate capital budgeting and CEO turnover," Journal of Corporate Finance, Elsevier, vol. 20(C), pages 41-58.
    2. Guisinger, Amy Y. & Hernandez-Murillo, Ruben & Owyang, Michael T. & Sinclair, Tara M., 2018. "A state-level analysis of Okun's law," Regional Science and Urban Economics, Elsevier, vol. 68(C), pages 239-248.
    3. Davide Castellani & Katiuscia Lavoratori, 2020. "The lab and the plant: Offshore R&D and co-location with production activities," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 51(1), pages 121-137, February.
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    5. Kolasinski, Adam C. & Yang, Nan, 2018. "Managerial myopia and the mortgage meltdown," Journal of Financial Economics, Elsevier, vol. 128(3), pages 466-485.
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    8. Jamie Alcock & Eva Steiner, 2018. "Fundamental Drivers of Dependence in REIT Returns," The Journal of Real Estate Finance and Economics, Springer, vol. 57(1), pages 4-42, July.
    9. Alok R. Saboo & Anindita Chakravarty & Rajdeep Grewal, 2016. "Organizational Debut on the Public Stage: Marketing Myopia and Initial Public Offerings," Marketing Science, INFORMS, vol. 35(4), pages 656-675, July.
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    More about this item


    Two-step estimation; Heteroskedasticity; Random parameters; GLS; OLS;

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling


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