%0 Journal Article
%T ON THE STRONG CONSISTENCY AND CONVERGENCE RATE OF IMPROVED KERNEL ESTIMATES FOR THE REGRESSION FUNCTION<br>回归函数改良核估计的强相合性及收敛速度
%A CHENG PING
%A <br>成平
%J 系统科学与数学
%D 1983
%I 
%X 令(X,Y),(X_1,Y_1),…,(x_n,Y_n)为R~p×R~1上一串i.i.d。随机向量,且E(|Y|)<∞。研究如何利用(X_1,Y_1),…,(X_n,Y_n)观察的结果估计回归函数 m(x)=E(Y|X=x),称为非参数回归函数估计问题。Watson和Nadaraya首先建议用核估计
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=815F58FED159AF980B215FD16BDB0E9C&yid=A7F20A391020FDEE&vid=38B194292C032A66&iid=E158A972A605785F&sid=8ED630AD8C61FAE8&eid=0C3F9E980968AF79&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=15&reference_num=0