Let Y1 ,…,Yn be n observations at fixed points x1,…,xn according to the m odel yi= g (xi)+ εi,1≤i≤n,discuss the estim ator for a nonparam etric regression function given by priestley, get the asym ptotical norm ality of the estim ator under w eaker conditions.

The strong consistency of the nonparametric regression weighted function estimator for positive associated samples is discussed.

This paper studies the consistency of weighted function estimator in a multiple nonparametric regression model under martingale sequences.

The main steps are as follows:Firstly,by taking advantages of non-parametric density estimation,possibility density function(PDF) is determined,which is taken as the index of clustering,where areas with larger value of PDF would be taken as clustering prototypes;Secondly,the gradient field of PDF is estimated by means of non-parametric estimation;Thirdly,the prototypes o.

The kernel regression method now is the most popular non-parametric estimation method.

Application of nonparametric estimation method in establishing height-diameter curves of trees;

Basic forms of Fourier transformation and PSD nonparametric estimation

Applied research of wavelet analysis and nonparametric estimation in exchange rate