吉林大学学报（理学版）2013，Vol.51Issue(2)：237-240,4.DOI:10.7694/jdxblxb20130218
ND样本加权回归函数估计的强相合速度
Rate of Strong Consistency of Regression Weighted Function Estimator for Negatively Associated Dependent Samples
摘要
Abstract
Let {εi, 1≤i≤n} be negatively dependent and random error sequence. With the help of the nonparametric regression model Yi= g(χi)+εi(1≤i≤n), we discussed the rate of the strong consistency of the nonparametric regression weighted function estimator gn(χ) = nΣi=1 Y:χi-χi-1/hn K (χ-χi /hn)for negatively dependent samples using Bernstein inequality. The consistency was extended to the case of negatively dependent-samples.关键词
ND序列/非参数回归/加权核估计/强相合速度Key words
negatively dependent sequence/ nonparametric regression/ weighted kernel estimator/ rate of strong consistency分类
数理科学引用本文复制引用
曾翔,吴群英..ND样本加权回归函数估计的强相合速度[J].吉林大学学报（理学版）,2013,51(2):237-240,4.基金项目
国家自然科学基金(批准号:11061012)和广西自然科学基金(批准号:2012GXNSFAA053010). （批准号:11061012）
