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Instrumental Variables Estimation of Heteroskedastic Linear Models Using All Lags of Instruments

  • Kenneth D. West
  • Ka-fu Wong
  • Stanislav Anatolyev

We propose and evaluate a technique for instrumental variables estimation of linear models with conditional heteroskedasticity. The technique uses approximating parametric models for the projection of right hand side variables onto the instrument space, and for conditional heteroskedasticity and serial correlation of the disturbance. Use of parametric models allows one to exploit information in all lags of instruments, unconstrained by degrees of freedom limitations. Analytical calculations and simulations indicate that there sometimes are large asymptotic and finite sample efficiency gains relative to conventional estimators (Hansen (1982)), and modest gains or losses depending on data generating process and sample size relative to quasi-maximum likelihood. These results are robust to minor misspecification of the parametric models used by our estimator.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0338.

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Date of creation: May 2007
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Publication status: published as "Instrumental Variables Estimation of Heteroskedastic Linear Models Using All Lags of Instruments,” (with Ka-fu Wong and Stanislav Anatolyev), Econometric Reviews 28 (5) (2009), 441-467.
Handle: RePEc:nbr:nberte:0338
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