摘要
以随机函数逼近论的观点看待统计模型问题,得到了解决其问题的具有一般性的新途径与新方法,作出了随机自变量多项式回归函数及其相应的误差方差的优良估计,其优良性的标准包括强相合性、相合渐近正态性与L^1收敛性.
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.
出处
《系统科学与数学》
CSCD
北大核心
2009年第3期297-308,共12页
Journal of Systems Science and Mathematical Sciences
关键词
多项式回归函数
随机函数逼近
相合渐近正态性
一致强相合
Polynomial regression function, random functional approximation, consistent asymptotic normality, uniformly strong consistency.
