On the Pointwisise Lp Convergence Rates of Nearest Neighbor Estimate of Nonparametric Regression Function

Let （X,y） be a R×R-valued radom vector with E（?）=E（Y|X=x） be the regression funvion of Y with respect to X.Su （X, Y）,i=1, …,n, are iid samples drawn ftc, from （X,Y）.（?）desired to estimate m（x） based on these samples,everoye discussed in （?） the pointwise convergence of the nearest neigthoor estimate m（X） (see （5） of the present paper). Ih this article we further study the rate of this eonyer-gence.It is shown that if there exists p≥2 sach that E 、|Y|<∞,then for suitabte choice of the weighte C(see（4） of the present paper).