| 回归函数基于分割的改良递推估计的渐近正态性 |
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| 引用本文： | 彭小智,凌能祥,许昌满.回归函数基于分割的改良递推估计的渐近正态性[J].大学数学,2010,26(4). |
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| 作者姓名： | 彭小智 凌能祥 许昌满 |
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| 摘 要： | 提出了回归函数基于分割的改良递推估计,mn(x)=sum (IAn(x) (Xi)YiI(|Yi|) from i=1 to n≤bi)/sum (IAn(x)(Xi)) from i=1 to n,并在较为简洁的条件下证明了该估计量的渐近正态性.
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| 关 键 词： | 回归函数 基于分割的改良递推估计 渐近正态性 |
Asymptotic Normality of Modified Partitioning Recursive Estimator of Regression Function |
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| PENG Xiao-zhi,LING Neng-xiang,XU Chang-man.Asymptotic Normality of Modified Partitioning Recursive Estimator of Regression Function[J].College Mathematics,2010,26(4). |
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| Authors: | PENG Xiao-zhi LING Neng-xiang XU Chang-man |
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| Abstract: | Modified partitioning recursive estimator of regression function is proposed,mn(x)=sum (IAn(x) (Xi)YiI(|Yi|) from i=1 to n≤bi)/sum (IAn(x)(Xi)) from i=1 to n and its asymptotic normality is also shown under some proper conditions. |
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| Keywords: | regression function modified partitioning recursive estimation asymptotic normality |
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