| 污染分布的近邻估计 |
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| 引用本文： | 刘红玲,刘建.污染分布的近邻估计[J].数学杂志,2010,30(1). |
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| 作者姓名： | 刘红玲 刘建 |
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| 作者单位： | 1. 武汉科技学院理学院,湖北,武汉,430073
2. 第二炮兵指挥学院,湖北,武汉,430012 |
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| 基金项目： | 湖北省统计科研计划项目课题 |
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| 摘 要： | 本文研究了污染分布中污染系数和未知主体分布密度的估计问题.利用近邻估计法得到了它们的估计量,并且证明了此估计量均满足一致弱相合性,同时对污染系数的估计进行了统计模拟,并与用核密度估计得出的结果作比较.结果显示估计的好坏与样本量的多少和参数的选取有关.
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| 关 键 词： | 污染分布 近邻估计 一致弱相合性 |
NEAREST NEIGHBOR ESTIMATION OF CONTAMINATED DISTRIBUTION |
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| LIU Hong-ling,LIU Jian.NEAREST NEIGHBOR ESTIMATION OF CONTAMINATED DISTRIBUTION[J].Journal of Mathematics,2010,30(1). |
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| Authors: | LIU Hong-ling LIU Jian |
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| Institution: | LIU Hong-ling~1,LIU Jian~2 (1.College of Science,Wuhan University of Science , Engineering,Wuhan 430073,China) (2.The Second Artillery Comm, College,Wuhan 430012,China) |
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| Abstract: | This article studies estimation of contaminating coeffcient and original density function in the contaminated distribution.By using their nearest neighbor(N.N.) estimation,we prove that the two estimates meet uniform weak convergency,and make simulation about the estimation of contaminating coefficient,and show it in contrast with kernel estimation.The result shows that the quality of the estimation is relative to sample size and parameters chosen. |
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| Keywords: | Contaminated distribution Nearest neighbor estimation uniformly consistent estimate |
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