Efficient estimation of additive partially linear models Academic Article uri icon


  • I consider the problem of estimating an additive partially linear model using general series estimation methods with polynomial and splines as two leading cases. I show that the finite-dimensional parameter is identified under weak conditions. I establish the root-n-normality result for the finite-dimensional parameter in the linear part of the model and show that it is asymptotically more efficient than a semiparametric estimator that ignores the additive structure. When the error is conditional homoskedastic, my finite-dimensional parameter estimator reaches the semiparametric efficiency bound. Efficient estimation when the error is conditional heteroskedastic is also discussed.

published proceedings


author list (cited authors)

  • Li, Q.

citation count

  • 88

complete list of authors

  • Li, Q

publication date

  • January 2000