We propose a three-step local polynomial procedure for a multivariate nonparametric regression in which the errors are autocorrelated. The proposed estimator uses all sample points to estimate m(x), the regression function evaluated at point x, but the contributions from all non-local points are...

In this paper we propose a modification of the local linear smoother to account for the autocorrelated errors in a nonparametric regression model with random-design. The proposed estimator has a closed-form expression and is simple to calculate. The asymptotic bias and variance of the proposed...