The finite sample performance of the feed-forward neural networks is compared with that of the local polynomial smoothers by using simulated example and real example,the results demonstrate that the feed-forward neural networks performs a little better than the local polynomial smoothers.

In this paper we investigate the asymptotic properties of local polynomial estimators in semiparametric regression model.

In this paper, we derive estimators of parametric and nonparametric components in semiparametric regression model by using local polynomial fitting and LS method.

The local polynomial estimator of the function coefficient vectorβ(.

The deduction procedure of Hermite Interpolation polynomial smoothing x+ is extend.

The deduction procedure of cubic spline interpolation polynomial smoothing + is extended.

In this paper,the author give the spectra characterizations of nonsigular feedback polynomials and local permutation polynomials over finite fields and residue class rings,and simplify existing results over prime fields,and provide a new proof method for the spectra characterization of correlation immune functions over finite fields and residue class rings.

This dissertation is based onρ~ -mixing samples which is a kind of broad dependent mixing samples, it studies the local polynomial estimation of unknown function in fixed design nonparametric regression model and unknown parametric and unknown function in semiparametric regression model.

The regularization local polynomial prediction methods are used in this paper to predict logistic chaos mapping time series,the error of the prediction is analyzed.