| ND样本最近邻密度估计的相合性 |
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| 引用本文： | 刘永辉,吴群英.ND样本最近邻密度估计的相合性[J].吉林大学学报(理学版),2012,50(6):1141-1145. |
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| 作者姓名： | 刘永辉 吴群英 |
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| 作者单位： | 桂林理工大学 理学院, 广西 桂林 541004 |
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| 基金项目： | 国家自然科学基金(批准号:11061012);广西自然科学基金(批准号:2011GXNSFA018147);广西研究生教育创新计划项目(批准号:2011105960202M32) |
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| 摘 要： | 利用ND序列的Bernstein不等式, 研究ND样本最近邻密度估计的相合性, 给出了弱相合性、 强相合性的充分条件, 所得结果将最近邻密度估计的相合性推广到ND样本.
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| 关 键 词： | ND样本 最近邻密度估计 相合性 |
| 收稿时间： | 2011-12-29 |
Consistency of Nearest Neighbor Estimator of Density Function for Negatively Dependent Samples |
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| LIU Yong-hui,WU Qun-ying.Consistency of Nearest Neighbor Estimator of Density Function for Negatively Dependent Samples[J].Journal of Jilin University: Sci Ed,2012,50(6):1141-1145. |
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| Authors: | LIU Yong-hui WU Qun-ying |
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| Institution: | College of Science, Guilin University of Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China |
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| Abstract: | This paper deals with the consistency of nearest neighbor density estimator for negatively dependent samples by using Bernstein inequality,and presents some sufficient conditions for weak and strong consistency.The therom in this paper extended the consistency to the case of negatively dependent samples. |
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| Keywords: | negatively dependent sample nearest neighbor density estimator consistency |
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