Journal of Applied Sciences ›› 2004, Vol. 22 ›› Issue (1): 113-117.

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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

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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