某种一般非参数回归函数估计的强相合  

STRONG CONSISTENCY OF ESTIMATE FOR SOME GENERAL REGRESSION FUNCTION IN NONPARAMETRIC REGRESSION MODEL

作　　者：尹小红[1] 苗雨[2] 

机构地区：[1]湖南省邵阳学院理学与信息科学系,湖南邵阳422000 [2]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《数学杂志》2009年第3期373-377,共5页Journal of Mathematics

摘　　要：本文研究了较为一般的非参数回归函数估计的问题.利用传输不等式,获得了参数估计的强相合性,推广了文献[1]、[6]等结果.In this paper, we discuss the extimate of regression function in some general nonparametric regression model based on the transportation inequality. The strong consistency is obtained, which improves the results in [1],[6] and so on in some sense.

关 键 词：Lipschitzian函数 回归函数 核估计 强相合 传输不等式 

分 类 号：O211.6[理学—概率论与数理统计]