Under fixed-design,considering linear regression model with first nonparametric autoregressive errors,we construct the N-W kernel estimators of parameter and nonparametric function,under suitable conditions,we prove the strong consrstency of parameter,and give the asymptotic normality.

A global finite element estimation for nonparametric autoregressive functions is considered in this paper,due primarily to the fact that local smoothing methods fail to offer a parsimonious explicit expression of the fitted model and in order to fit and predict easily.

Aiming at curve fitting question, a method of non-parametric regression with penalty term to determine adaptively the fitting function of a group of data is presented, emphasing on the problem of determining the regular parameter of the method, including subjective back-and-forth method and cross validating method.

By taking the model on non-parametric regression into image denoising,the arithmetic based on this method has been presented.

Focusing on the problem of inventory forecast of inventory control strategy in the Distribution center(R,S) ,non-parametric regression method is applied to fit for the inventory,which is compared with the least squares method and non-parametric k neighboring rule is used to predict the inventory.

Improved K nearest neighbor nonparametric regression and its application in short-term traffic flow forecasting;

An algorithm for nonparametric regression with penalized splines;

Neural network ensemble model for rainfall forecasting based on nonparametric regression;