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应用科学学报 ›› 2004, Vol. 22 ›› Issue (1): 113-117.

• 论文 • 上一篇    下一篇

非参数回归函数最近邻估计强相合性的研究

孙道德1,2   

  1. 1 阜阳师范学院计算机系 安徽阜阳 236032;
    2 浙江财经学院信息学院 浙江杭州 310012
  • 收稿日期:2002-10-05 修回日期:2003-08-24 出版日期:2004-03-31 发布日期:2004-03-31
  • 作者简介:孙道德(1957-),男,安徽阜南人,教授.

Study of Strong Consistency of Nearest Neighbor Estimation in Nonparametric Regression Function

SUN Dao-de1,2   

  1. 1. Department of Computer, Fuyang Normal College, Fuyang 236032, China;
    2. Institute of Information Science, Zhejiang University of Finance and Economics, Hangzhou 310012, China
  • Received:2002-10-05 Revised:2003-08-24 Online:2004-03-31 Published:2004-03-31

PDF

63

被引次数

18

摘要： 在样本序列{(xn,yn),n ≥ 1}为平稳φ-混合的情况下,研究了回归函数m(x)的最近邻估计mn(x)的强相合性问题,并给出了它在非参数判别中的一个应用.

关键词: 非参数回归函数, 最近邻估计, 平稳φ-混合序列, 强相合性

Abstract: In this paper, the strong consistency of nearest neighbor estimation mn(x)) of regression function m(x) with stationary and H-mixed sample sequence {(xn,yn),n ≥ 1} is studied and applied it in nonparametric test.

Key words: sationary and H-mixed sample sequence, nearest neighbor estimation, strong consistency, nonparametric regression function

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