| 非参数核密度估计的L~r收敛 |
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| 引用本文： | 张良勇,宋向东,董晓芳,郭照庄.非参数核密度估计的L~r收敛[J].佳木斯大学学报,2006(4). |
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| 作者姓名： | 张良勇 宋向东 董晓芳 郭照庄 |
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| 作者单位： | 燕山大学理学院 河北秦皇岛066004 |
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| 摘 要： | 核密度估计是一种具有广泛应用领域的非参数统计方法.有关它独立情况下的大样本性质,在文献1]中已详细介绍,本文在改进Parzen给出的一个基本引理的基础上得出非参数核密度估计的Lr收敛.
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| 关 键 词： | 核密度估计 Lr收敛 非参数统计 |
On convergence in L~r norm of nonparametric kernel density estimate |
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| ZHANG Liang-yong,SONG Xiang-dong,DONG Xiao-fang,GUO Zhao-zhuang.On convergence in L~r norm of nonparametric kernel density estimate[J].Journal of Jiamusi University(Natural Science Edition),2006(4). |
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| Authors: | ZHANG Liang-yong SONG Xiang-dong DONG Xiao-fang GUO Zhao-zhuang |
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| Abstract: | Kernel density estimation is a nonparametric method which can be widely used in many fields.It's large sample character for independent sample is introduced in 1].On the basis of improving a lemma brought up by Parzen.This paper aims to give the convergence in norm of the kernel density estimate. |
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| Keywords: | kernel density estimation convergence norm nonparametric statistic |
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