Usage of an estimated coefficient as a dependent variable

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 m...

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Veröffentlicht in:Economics letters 2012-09, Vol.116 (3), p.316-318
Hauptverfasser: Hornstein, Abigail S., Greene, William H.
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description 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. ► Two-step estimation where estimated coefficients are the dependent variable. ► Mitigate potential problems of heteroskedasticity in the second stage estimation. ► Weight all independent observations using variances from the first stage estimation. ► Approach needs modification for non-linear function of estimated coefficients.
doi_str_mv 10.1016/j.econlet.2012.03.027
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subjects Coefficients
Dummy variables
Estimating techniques
Estimation
GLS
Heteroskedasticity
Mathematical functions
Mathematical problems
OLS
Panel data
Random parameters
Statistical models
Studies
Two-step estimation
title Usage of an estimated coefficient as a dependent variable
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