Estimation in a semiparametric partially linear errors-in-variables model Academic Article uri icon


  • We consider the partially linear model relating a response Y to predictors (X,T) with mean function XT + g(T) when the X's are measured with additive error. The semiparametric likelihood estimate of Severini and Staniswalis leads to biased estimates of both the parameter and the function g() when measurement error is ignored. We derive a simple modification of their estimator which is a semiparametric version of the usual parametric correction for attenuation. The resulting estimator of is shown to be consistent and its asymptotic distribution theory is derived. Consistent standard error estimates using sandwich-type ideas are also developed.

published proceedings


author list (cited authors)

  • Liang, H., Hardle, W., & Carroll, R. J.

citation count

  • 254

complete list of authors

  • Liang, Hua||Härdle, Wolfgang||Carroll, Raymond J

publication date

  • October 1999