%0 Journal Article
%T Estimation for Polynomial Regression Function of Random Independent Variable<br>随机自变量多项式回归函数的估计问题
%A CHEN Naihui
%A <br>陈乃辉
%J 系统科学与数学
%D 2009
%I 
%X By using viewpoint of random functional approximation, a new way and method to solve question of statistical models is obtained, and a good estimation for Polynomial Regression Function of Random Independent Variable and its error variance is given. Here the standard of goodness include strong consistency, consistent asymptotic normality and convergence in $L^1$.
%K Polynomial regression function
%K random functional approximation
%K consistent asymptotic normality
%K uniformly strong consistency<br>多项式回归函数
%K 随机函数逼近
%K 相合浙近正态性
%K 一致强相合
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=E61640B4D3AD3692378BDDFCC9E815F1&yid=DE12191FBD62783C&vid=771469D9D58C34FF&iid=38B194292C032A66&sid=E42CAFB11D4BE21A&eid=51C74DF6A16DA45B&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=2&reference_num=7