Journal of Guangxi Normal University(Natural Science Edition) ›› 2010, Vol. 28 ›› Issue (3): 15-19.

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Strong Consistency of the Regression Weighted Function Estimator for Negatively Associated Samples

LI Yu-fang, ZHANG Jun-jian   

  1. College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2010-05-26 Online:2010-09-20 Published:2023-02-06

Abstract: In the nonparametric regression model Yi=g(xi)+εi,1≤i≤n,the strong consistency of the nonparametric regressionweighted function estimator gn(x)=∑ni=1wni(x)Yi is studied,where {εi,1≤i≤n} are uniformly integrabilited and negatively associated samples.

Key words: negatively associated, weighted function estimator, strong consistency, uniform integrability

CLC Number: 

  • O211.4
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