Аннотация:
Local linear methods are applied to a nonparametric regression model
with normal errors in the variables and uniform distribution of the
variables. The local neighborhood is determined with help of deconvolution kernels. Two different linear estimation method are used:
the naive estimator and the total least squares estimator. Both local
linear estimators are consistent. But only the local naive estimator
delivers an estimation of the tangent.
Ключевые слова:Error in variable, measurement errors, nonparametric regression, deconvolution, kernel methods, local linear regression, naive estimation, total least
squares.