We propose restricted locally-weighted kernel estimation for nonparametric analysis of covariance via varying coefficient models and construct related test statistic.

The present paper shows that the integral equation with which the price of underlying assets meets can be written as a regression model,on the basis of the weighted local linear estimator of the regression(function) is established in the regression model.

Under Pairwise NQD Sequences error,we discuss the consistency of weighted kernel estimators of nonparametric regression functions of which Priestly,M.

This paper discusses that when the weighted kernel estimator for nonparametric regression function from complete or censored data under independent or mixing associated error sequences,r-order mean consistency rates are obtained separately.

The consistency of the weighted kernel estimators of nonparametric regression function of sequences with censored data is discussed.

With independent samples,researches aim at the strong consistency of the weighted kernel estimators of nonparametric regression functions.

GMDH modeling and forecasting based on local linear kernel estimation;

This paper introduces method of local linear kernel estimation to the chaos time series forecasting to improve the forecasting accuracy.